| Records |
| Author |
Hojman, S.A.; Asenjo, F.A. |
| Title |
A new approach to solve the one-dimensional Schrodinger equation using a wavefunction potential |
Type |
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| Year |
2020 |
Publication |
Physics Letters A |
Abbreviated Journal |
Phys. Lett. A |
| Volume |
384 |
Issue |
36 |
Pages |
7 pp |
| Keywords |
Schrodinger equation; New exact solutions; Accelerating wavepackets; Bohm potential |
| Abstract |
A new approach to find exact solutions to one-dimensional quantum mechanical systems is devised. The scheme is based on the introduction of a potential function for the wavefunction, and the equation it satisfies. We recover known solutions as well as to get new ones for both free and interacting particles with wavefunctions having vanishing and non-vanishing Bohm potentials. For most of the potentials, no solutions to the Schrodinger equation produce a vanishing Bohm potential. A (large but) restricted family of potentials allows the existence of particular solutions for which the Bohm potential vanishes. This family of potentials is determined, and several examples are presented. It is shown that some quantum, such as accelerated Airy wavefunctions, are due to the presence of non-vanishing Bohm potentials. New examples of this kind are found and discussed. (C) 2020 Elsevier B.V. All rights reserved. |
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| ISSN |
0375-9601 |
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UAI @ alexi.delcanto @ |
Serial |
1271 |
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| Author |
Comisso, L.; Asenjo, F.A. |
| Title |
Magnetic reconnection as a mechanism for energy extraction from rotating black holes |
Type |
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| Year |
2021 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D. |
| Volume |
103 |
Issue |
2 |
Pages |
023014 |
| Keywords |
BLANDFORD-ZNAJEK MECHANISM; NEAR-INFRARED FLARES; SIMULATIONS; JETS; DRIVEN |
| Abstract |
Spinning black holes store rotational energy that can be extracted. When a black hole is immersed in an externally supplied magnetic field, reconnection of magnetic field lines within the ergosphere can generate negative energy (relative to infinity) particles that fall into the black hole event horizon while the other accelerated particles escape stealing energy from the black hole. We show analytically that energy extraction via magnetic reconnection is possible when the black hole spin is high (dimensionless spin a similar to 1) and the plasma is strongly magnetized (plasma magnetization sigma(0) > 1/3). The parameter space region where energy extraction is allowed depends on the plasma magnetization and the orientation of the reconnecting magnetic field lines. For sigma(0) >> 1, the asymptotic negative energy at infinity per enthalpy of the decelerated plasma that is swallowed by a maximally rotating black hole is found to be epsilon(infinity)(-) similar or equal to – root sigma(0)/3. The accelerated plasma that escapes to infinity and takes away black hole energy asymptotes the energy at infinity per enthalpy epsilon(infinity)(+) similar or equal to root 3 sigma(0).. We show that the maximum power extracted from the black hole by the escaping plasma is P-extr(max) similar to 0.1M(2) root sigma(0)w(0) (here, M is the black hole mass and w(0) is the plasma enthalpy density) for the collisionless plasma regime and one order of magnitude lower for the collisional regime. Energy extraction causes a significant spindown of the black hole when a similar to 1. The maximum efficiency of the plasma energization process via magnetic reconnection in the ergosphere is found to be eta(max) similar or equal to 3/2. Since fast magnetic reconnection in the ergosphere should occur intermittently in the scenario proposed here, the associated emission within a few gravitational radii from the black hole is expected to display a bursty nature. |
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| ISSN |
2470-0010 |
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WOS:000607513600001 |
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UAI @ alexi.delcanto @ |
Serial |
1323 |
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| Author |
Asenjo, F.A.; Hojman, S.A. |
| Title |
Nondiffracting gravitational waves |
Type |
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| Year |
2021 |
Publication |
European Physical Journal C |
Abbreviated Journal |
Eur. Phys. J. C |
| Volume |
81 |
Issue |
1 |
Pages |
98 |
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| Abstract |
It is proved that accelerating nondiffracting gravitational Airy wave-packets are solutions of linearized gravity. It is also showed that Airy functions are exact solutions to Einstein equations for non-accelerating nondiffracting gravitational wave-packets. |
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| ISSN |
1434-6044 |
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WOS:000616135600003 |
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UAI @ alexi.delcanto @ |
Serial |
1336 |
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| Author |
Hojman, S.A.; Asenjo, F.A.; Moya-Cessa, H.M.; Soto-Eguibar, F. |
| Title |
Bohm potential is real and its effects are measurable |
Type |
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| Year |
2021 |
Publication |
Optik |
Abbreviated Journal |
Optik |
| Volume |
232 |
Issue |
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Pages |
166341 |
| Keywords |
Bohm potential; Non-vanishing; Accelerating solutions |
| Abstract |
We analyze Bohm potential effects both in the realms of Quantum Mechanics and Optics, as well as in the study of other physical phenomena described in terms of classical and quantum wave equations. We approach this subject by using theoretical arguments as well as experimental evidence. We find that the effects produced by Bohm potential are both theoretically responsible for the early success of Quantum Mechanics correctly describing atomic and nuclear phenomena and, more recently, by confirming surprising accelerating behavior of free waves and particles experimentally, for instance. |
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0030-4026 |
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WOS:000636139700002 |
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UAI @ alexi.delcanto @ |
Serial |
1366 |
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| Author |
Asenjo, F.A.; Hojman, S.A.; Moya-Cessa, H.M.; Soto-Eguibar, F. |
| Title |
Propagation of light in linear and quadratic GRIN media: The Bohm potential |
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| Year |
2021 |
Publication |
Optics Communications |
Abbreviated Journal |
Opt. Commun. |
| Volume |
490 |
Issue |
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Pages |
126947 |
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| Abstract |
It is shown that field propagation in linear and quadratic gradient-index (GRIN) media obeys the same rules of free propagation in the sense that a field propagating in free space has a (mathematical) form that may be exported to those particular GRIN media. The Bohm potential is introduced in order to explain the reason of such behavior: it changes the dynamics by modifying the original potential . The concrete cases of two different initials conditions for each potential are analyzed. |
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| ISSN |
0030-4018 |
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| Notes |
WOS:000664742700011 |
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| Call Number |
UAI @ alexi.delcanto @ |
Serial |
1424 |
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| Author |
Asenjo, F.A.; Hojman, S.A. |
| Title |
Accelerating solutions to diffusion equation |
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| Year |
2021 |
Publication |
European Physical Journal Plus |
Abbreviated Journal |
Eur. Phys. J. Plus. |
| Volume |
136 |
Issue |
6 |
Pages |
677 |
| Keywords |
NONLINEAR DIFFUSIONSIMILARITY SOLUTIONS |
| Abstract |
We report accelerating diffusive solutions to the diffusion equation with a constant diffusion tensor. The maximum values of the diffusion density evolve in an accelerating fashion described by Airy functions. We show the diffusive accelerating behavior for one-dimensional systems, as well as for a general three-dimensional case. We also construct a modulated modified form of the diffusion solution that retains the accelerating features. |
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| ISSN |
2190-5444 |
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| Notes |
WOS:000664659600001 |
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UAI @ alexi.delcanto @ |
Serial |
1433 |
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| Author |
Caerols, H.; Carrasco, R.A.; Asenjo, F.A. |
| Title |
Using smartphone photographs of the Moon to acquaint students with non-Euclidean geometry |
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| Year |
2021 |
Publication |
American Journal of Physics |
Abbreviated Journal |
Am. J. Phys. |
| Volume |
89 |
Issue |
12 |
Pages |
1079-1085 |
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| Abstract |
Non-Euclidean geometry can be taught to students using astronomical images. By using photographs o the Moon taken with a smartphone through a simple telescope, we were able to introduce these concepts to high-school students and lower-level college students. We teach students how to calculate lengths of mountain ranges or areas of craters on the Moon's surface and introduce ideas of geodesics and spherical triangles. Students can see that accurate measurements cannot be
obtained using at geometry. Instead, by using three{dimensional curved geometry, estimates of lengths and areas can be computed with less than 4% error. |
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| ISSN |
0002-9505 |
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| Notes |
WOS:000757066700003 |
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| Call Number |
UAI @ alexi.delcanto @ |
Serial |
1447 |
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| Author |
Hojman, S.J.; Moya-Cessa, H.M.; Soto-Eguibar, F.; Asenjo, F.A. |
| Title |
Time-dependent harmonic oscillators and SUSY in time domain |
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| Year |
2021 |
Publication |
Physica Scripta |
Abbreviated Journal |
Phys. Scr. |
| Volume |
96 |
Issue |
12 |
Pages |
125218 |
| Keywords |
time domain super-symmetry; time dependent harmonic oscillator; Bohm potential; Ermakov-lewis invariant |
| Abstract |
We show that the time-dependent harmonic oscillator has a repulsive or inverted oscillator as a time domain SUSY-like partner. Examples of several kinds of super-symmetrical time dependent frequency systems are presented. |
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0031-8949 |
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| Notes |
WOS:000698808000001 |
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UAI @ alexi.delcanto @ |
Serial |
1467 |
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| Author |
Asenjo, F.A.; Hojman, S.A. |
| Title |
Light-like propagation of self-interacting Klein-Gordon fields in cosmology |
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| Year |
2022 |
Publication |
European Physical Journal Plus |
Abbreviated Journal |
Eur. Phys. J. Plus. |
| Volume |
137 |
Issue |
1 |
Pages |
20 |
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| Abstract |
It is showed that complex scalar fields with a self-interaction potential may propagate along null geodesics on isotropic flat Friedmann-Lemaitre-Robertson-Walker universes with different time-dependent scale factors. This effect appears for certain kinds of self-interactions only, for different forms of potentials, and even for the massive case. |
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2190-5444 |
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WOS:000730210100003 |
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UAI @ alexi.delcanto @ |
Serial |
1501 |
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| Author |
Soto-Eguibar, F.; Asenjo, F.A.; Hojman, S.A.; Moya-Cessa, H.M. |
| Title |
Bohm potential for the time dependent harmonic oscillator |
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| Year |
2021 |
Publication |
Journal of Mathematical Physics |
Abbreviated Journal |
J. Math. Phys. |
| Volume |
62 |
Issue |
12 |
Pages |
122103 |
| Keywords |
SCHRODINGER-EQUATION; QUANTUM-THEORY; MASS; PROPAGATION; INVARIANTS; SYSTEMS; STATES |
| Abstract |
In the Madelung-Bohm approach to quantum mechanics, we consider a time dependent phase that depends quadratically on position, and we show that it leads to a Bohm potential that corresponds to a time dependent harmonic oscillator, provided the time dependent term in the phase obeys an Ermakov equation. |
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0022-2488 |
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| Notes |
WOS:000731943600003 |
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UAI @ alexi.delcanto @ |
Serial |
1504 |
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| Author |
Asenjo, F.A.; Hojman, S.A. |
| Title |
Reply to Comment on 'Do electromagnetic waves always propagate along null geodesics?' Reply |
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| Year |
2021 |
Publication |
Classical And Quantum Gravity |
Abbreviated Journal |
Class. Quantum Gravity |
| Volume |
38 |
Issue |
23 |
Pages |
238002 |
| Keywords |
couplings; electromagnetic wave; propagation; consistency; geometrical; eikonal limit |
| Abstract |
A reply to the previous article commenting on non-geodesical propagation of electromagnetic fields on gravitational backgrounds and the eikonal limit are presented. |
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| ISSN |
0264-9381 |
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| Notes |
WOS:000728942300001 |
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UAI @ alexi.delcanto @ |
Serial |
1512 |
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| Author |
Mahajan, S.M.; Asenjo, F.A. |
| Title |
Interacting quantum and classical waves: Resonant and non-resonant energy transfer to electrons immersed in an intense electromagnetic wave |
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| Year |
2022 |
Publication |
Physics Of Plasmas |
Abbreviated Journal |
Phys. Plasmas |
| Volume |
29 |
Issue |
2 |
Pages |
022107 |
| Keywords |
KLEIN-GORDON; DIRAC EQUATIONS; FIELD; PARTICLE; ACCELERATION |
| Abstract |
Dynamics of electrons subjected to a constant amplitude classical electromagnetic (EM) wave is investigated as a fundamental, representative problem in the physics of interacting quantum and classical waves. In the nonrelativistic regime (electrons as Schrodinger waves), the electron energy acquires a constant and a time dependent part. Driven by EM waves, both parts scale strongly with the amplitude, but we expect no resonant enhancement since the parallel electron “speed ” of nonrelativistic electrons could never match the wave phase velocity. In the relativistic regime (electron as a Klein-Gordon wave), however, a class of electron waves (with parallel speed matching the EM phase speed) are resonantly excited to extremely high energies. Such a direct resonant energy transfer from intense electromagnetic waves constitutes a mechanism that could, in principle, power the most energetic of cosmic rays (this mechanism will work on protons just as well). Some predictions of the theory will, hopefully, be tested in laboratory laser experiments. The nonrelativistic calculations will also be examined in the context of recent experiments using photon-induced near-field electron microscopy in detail. |
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| ISSN |
1070-664X |
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| Notes |
WOS:000760744200001 |
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UAI @ alexi.delcanto @ |
Serial |
1540 |
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| Author |
Moya-Cessa, H.M.; Hojman, S.A.; Asenjo, F.A.; Soto-Eguibar, F. |
| Title |
Bohm approach to the Gouy phase shift |
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| Year |
2022 |
Publication |
Optik |
Abbreviated Journal |
Optik |
| Volume |
252 |
Issue |
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Pages |
168468 |
| Keywords |
Gouy phase; Bohm potential; Lewis-Ermakov invariant |
| Abstract |
By adapting the Madelung-Bohm formalism to paraxial wave propagation we show, by using Ermakov-Lewis techniques, that the Gouy phase is related to the form of the phase chosen in order to produce a Gaussian function as a propagated field. For this, we introduce a quantum mechanical invariant, that it is explicitly time dependent. We finally show that the effective Bohm index of refraction generates a GRIN medium that produces the focusing needed for the Gouy phase. |
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0030-4026 |
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| Notes |
WOS:000756682400010 |
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UAI @ alexi.delcanto @ |
Serial |
1543 |
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| Author |
Hojman, S.A.; Asenjo, F.A. |
| Title |
Unification of massless field equations solutions for any spin |
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2022 |
Publication |
Epl |
Abbreviated Journal |
Epl |
| Volume |
137 |
Issue |
2 |
Pages |
24001 |
| Keywords |
QUANTIZATION |
| Abstract |
A unification in terms of exact solutions for massless Klein-Gordon, Dirac, Maxwell, Rarita-Schwinger, Einstein, and bosonic and fermionic fields of any spin is presented. The method is based on writing all of the relevant dynamical fields in terms of products and derivatives of pre-potential functions, which satisfy the d'Alembert equation. The coupled equations satisfied by the pre-potentials are non-linear. Remarkably, there are particular solutions of (gradient) orthogonal pre-potentials that satisfy the usual wave equation which may be used to construct exact non-trivial solutions to Klein-Gordon, Dirac, Maxwell, Rarita-Schwinger, (linearized and full) Einstein and any spin bosonic and fermionic field equations, thus giving rise to a unification of the solutions of all massless field equations for any spin. Some solutions written in terms of orthogonal prepotentials are presented. Relations of this method to previously developed ones, as well as to other subjects in physics are pointed out. |
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0295-5075 |
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WOS:000780902300001 |
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UAI @ alexi.delcanto @ |
Serial |
1555 |
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Moya-Cessa, H.M.; Asenjo, F.A.; Hojman, S.A.; Soto-Eguibar, F. |
| Title |
Two-mode squeezed state generation using the Bohm potential |
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| Year |
2022 |
Publication |
Modern Physics Letters B |
Abbreviated Journal |
Mod. Phys. Lett. B |
| Volume |
36 |
Issue |
09 |
Pages |
2250025 |
| Keywords |
Time-dependent coupled harmonic oscillator; Bohm potential; entangled states; two-mode squeezed states |
| Abstract |
We show that two-mode squeezed vacuum-like states may be engineered in the Bohm-Madelung formalism by adequately choosing the phase of the wave function. The difference between our wave function and the one of the squeezed vacuum states is given precisely by the phase we selected. We would like to stress that the engineering of two-mode vacuum states is possible due to the existence of the Bohm potential, and it is relevant because of its potential use in the propagation of optical fields, where it may render a variety of applications in optics. The approach to generate non-classical states, namely, two-mode squeezed states of a quantum mechanical system is one of the first applications of the Madelung-Bohm formalism. |
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0217-9849 |
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WOS:000782958100001 |
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UAI @ alexi.delcanto @ |
Serial |
1572 |
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| Author |
Asenjo, F.A.; Hojman, S.A.; Moya-Cessa, H.M.; Soto-Eguibar, F. |
| Title |
Supersymmetric relativistic quantum mechanics in time-domain |
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| Year |
2022 |
Publication |
Physics Letters A |
Abbreviated Journal |
Phys. Lett. A |
| Volume |
450 |
Issue |
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Pages |
128371 |
| Keywords |
Supersymmetry; Time-domain; Neutrino oscillation |
| Abstract |
A supersymmetric relativistic quantum theory in the temporal domain is developed for bi-spinor fields satisfying the Dirac equation. The simplest time-domain supersymmetric theory can be postulated for fields with time-dependent mass, showing an equivalence with the bosonic supersymmetric theory in time-domain. Solutions are presented and they are used to produce probability oscillations between mass states. As an application of this idea, we study the two-neutrino oscillation problem, showing that flavour state oscillations may emerge from the supersymmetry originated by the time-dependence of the unique mass of the neutrino.(c) 2022 Elsevier B.V. All rights reserved. |
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0375-9601 |
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WOS:000860777300004 |
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UAI @ alexi.delcanto @ |
Serial |
1643 |
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| Author |
Asenjo, F.A.; Hojman, S.A. |
| Title |
Airy heat bullets |
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| Year |
2022 |
Publication |
European Physical Journal Plus |
Abbreviated Journal |
Eur. Phys. J. Plus. |
| Volume |
137 |
Issue |
10 |
Pages |
1201 |
| Keywords |
GAUSSIAN LIGHT BULLETS; WAVES; BEAMS; GENERATION |
| Abstract |
New localized structured solutions for the three-dimensional linear heat (diffusion) equation are presented. These new solutions are written in terms of Airy functions. They are constructed as wave packet-like structures formed by a superposition of Bessel functions through the introduction of spectral functions. These diffusive solutions accelerate along their propagation direction, while in the plane orthogonal to it, they retain their confined structure. These heat (diffusion) densities retain a complete localized form in space as they propagate, and may be considered the heat analogue of Airy light bullets. |
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2190-5444 |
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WOS:000876991500002 |
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UAI @ alexi.delcanto @ |
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1671 |
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Winkler, M.A.; Vasquez-Wilson, C.; Asenjo, F.A. |
| Title |
Exact and paraxial Airy propagation of relativistic electron plasma wavepackets |
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2023 |
Publication |
European Physical Journal D |
Abbreviated Journal |
Eur. Phys. J. D |
| Volume |
77 |
Issue |
6 |
Pages |
97 |
| Keywords |
BEAMS |
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The different forms of propagation of relativistic electron plasma wavepackets in terms of Airy functions are studied. It is shown that exact solutions can be constructed showing accelerated propagations along coordinates transverse to the thermal speed cone coordinate. Similarly, Airy propagation is a solution for relativistic electron plasma waves in the paraxial approximation. This regime is considered in time domain, when paraxial approximation is considered for frequency, and in space domain, when paraxial approximation is considered for wavelength. In both different cases, the wavepackets remain structured in the transverse plane. Using these solutions we are able to define generalized and arbitrary Airy wavepackets for electron plasma waves, depending on arbitrary spectral functions. Examples of this construction are presented. These electron plasma Airy wavepackets are the most general solutions of this kind. |
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1434-6060 |
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WOS:001003782900004 |
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UAI @ alexi.delcanto @ |
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1816 |
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Mahajan, S.M.; Asenjo, F.A. |
| Title |
Parametric amplification of electromagnetic plasma waves in resonance with a dispersive background gravitational wave |
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2023 |
Publication |
Physical Review E |
Abbreviated Journal |
Phys. Rev. E |
| Volume |
107 |
Issue |
3 |
Pages |
035205 |
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ACCELERATION; RADIATION; INSTABILITIES; EXCITATION; PARTICLES; LIGHT |
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It is shown that a subluminal electromagnetic plasma wave, propagating in phase with a background subluminal gravitational wave in a dispersive medium, can undergo parametric amplification. For these phenomena to occur, the dispersive characteristics of the two waves must properly match. The response frequencies of the two waves (medium dependent) must lie within a definite and restrictive range. The combined dynamics is represented by a Whitaker-Hill equation, the quintessential model for parametric instabilities. The exponential growth of the electromagnetic wave is displayed at the resonance; the plasma wave grows at the expense of the background gravitational wave. Different physical scenarios, where the phenomenon can be possible, are discussed. |
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2470-0045 |
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WOS:000957776100002 |
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UAI @ alexi.delcanto @ |
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1766 |
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Espinoza-Troni, J.; Asenjo, F.A.; Moya, P.S. |
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Ponderomotive forces due to electron modes in unmagnetized plasmas described by kappa distribution functions |
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2023 |
Publication |
Plasma Physics and Controlled Fusion |
Abbreviated Journal |
Plasma Phys. Control. Fusion |
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65 |
Issue |
6 |
Pages |
065008 |
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ponderomotive force; kappa distribution; non-linear effects |
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The Washimi and Karpman ponderomotive interaction due to electron wave propagation is investigated for low-temperature unmagnetized plasmas described by an isotropic kappa distribution. We perform a brief analysis of the influence of the kappa distribution in the dispersion relations for a low-temperature plasma expansion at the lowest order in which the thermal effects are appreciable without considering the damping characteristics of the wave. The spatial and temporal factors of the ponderomotive force are obtained as a function of the wavenumber, the spectral index kappa and the ratio between the plasma thermal velocity and the speed of light. Our results show that for unmagnetized plasmas non-thermal effects are negligible due to the spatial ponderomotive force when non-relativistic thermal velocities are considered. However, for unmagnetized plasmas, the temporal factor of the ponderomotive force appears only due to the presence of suprathermal particles, with a clear dependence on the kappa index. We also analyze the role of the non-thermal effect in the induced Washimi and Karpman ponderomotive magnetization and the total power radiated associated with it. Furthermore, we show that the magnitude of the slowly varying induced ponderomotive magnetic field increases as the plasma moves away from thermal equilibrium |
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0741-3335 |
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WOS:000978049100001 |
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UAI @ alexi.delcanto @ |
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1802 |
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