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Author Hojman, S.A.; Asenjo, F.A. doi  openurl
  Title A new approach to solve the one-dimensional Schrodinger equation using a wavefunction potential Type
  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 ISBN Medium (up)  
  Area Expedition Conference  
  Notes Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1271  
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Author Hojman, S.A.; Asenjo, F.A.; Moya-Cessa, H.M.; Soto-Eguibar, F. doi  openurl
  Title Bohm potential is real and its effects are measurable Type
  Year 2021 Publication Optik Abbreviated Journal Optik  
  Volume 232 Issue 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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  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0030-4026 ISBN Medium (up)  
  Area Expedition Conference  
  Notes WOS:000636139700002 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1366  
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Author Asenjo, F.A.; Hojman, S.A.; Moya-Cessa, H.M.; Soto-Eguibar, F. doi  openurl
  Title Propagation of light in linear and quadratic GRIN media: The Bohm potential Type
  Year 2021 Publication Optics Communications Abbreviated Journal Opt. Commun.  
  Volume 490 Issue 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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  Series Volume Series Issue Edition  
  ISSN 0030-4018 ISBN Medium (up)  
  Area Expedition Conference  
  Notes WOS:000664742700011 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1424  
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Author Asenjo, F.A.; Hojman, S.A. doi  openurl
  Title Accelerating solutions to diffusion equation Type
  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 ISBN Medium (up)  
  Area Expedition Conference  
  Notes WOS:000664659600001 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1433  
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Author Caerols, H.; Carrasco, R.A.; Asenjo, F.A. doi  openurl
  Title Using smartphone photographs of the Moon to acquaint students with non-Euclidean geometry Type
  Year 2021 Publication American Journal of Physics Abbreviated Journal Am. J. Phys.  
  Volume 89 Issue 12 Pages 1079  
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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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  Series Volume Series Issue Edition  
  ISSN 0002-9505 ISBN Medium (up)  
  Area Expedition Conference  
  Notes Approved  
  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. doi  openurl
  Title Time-dependent harmonic oscillators and SUSY in time domain Type
  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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  Series Volume Series Issue Edition  
  ISSN 0031-8949 ISBN Medium (up)  
  Area Expedition Conference  
  Notes WOS:000698808000001 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1467  
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