| Records |
| Author |
Hojman, S.A. |
| Title |
Origin of conical dispersion relations |
Type |
|
| Year |
2014 |
Publication |
Revista Mexicana De Fisica |
Abbreviated Journal |
Rev. Mex. Fis. |
| Volume |
60 |
Issue |
5 |
Pages |
336-339 |
| Keywords |
Quantum mechanics; modified Dirac-Kronig-Penney potential; conical dispersion relations |
| Abstract |
A mechanism that produces conical dispersion relations is presented. A Kronig Penney one dimensional array with two different strengths delta function potentials gives rise to both the gap closure and the dispersion relation observed in graphene and other materials. The Schrodinger eigenvalue problem is locally invariant under, the infinite dimensional Virasoro algebra near conical dispersion points in reciprocal space, thus suggesting a possible relation to string theory. |
| Address |
[Hojman, Sergio A.] Univ Adolfo Ibanez, Dept Ciencias, Fac Artes Liberales, Fac Ingn & Ciencias, Santiago, Chile, Email: sergio.hojman@uai.cl |
Corporate Author  |
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Thesis |
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| Publisher |
Soc Mexicana Fisica |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
0035-001x |
ISBN |
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Medium |
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| Area |
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Expedition |
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Conference |
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| Notes |
WOS:000341802200001 |
Approved |
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| Call Number |
UAI @ eduardo.moreno @ |
Serial |
409 |
| Permanent link to this record |
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| Author |
Hojman, S.A.; Asenjo, F.A. |
| Title |
Classical and Quantum Dispersion Relations |
Type |
|
| Year |
2020 |
Publication |
Physica Scripta |
Abbreviated Journal |
Phys. Scr. |
| Volume |
95 |
Issue |
8 |
Pages |
7 pp |
| Keywords |
Quantum Hamilton-Jacobi equation; Bohm potential; dispersion relation |
| Abstract |
It is showed that, in general, classical and quantum dispersion relations are different due to the presence of the Bohm potential. There are exact particular solutions of the quantum (wave) theory which obey the classical dispersion relation, but they differ in the general case. The dispersion relations may also coincide when additional assumptions are made, such as WKB or eikonal approximations, for instance. This general result also holds for non-quantum wave equations derived from classical counterparts, such as in ray and wave optics, for instance. Explicit examples are given for covariant scalar, vectorial and tensorial fields in flat and curved spacetimes. |
| Address |
[Hojman, Sergio A.] Univ Adolfo Ibanez, Fac Artes Liberales, Dept Ciencias, Santiago 7491169, Chile, Email: sergio.hojman@uai.cl; |
| Corporate Author |
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Thesis |
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| Publisher |
Iop Publishing Ltd |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
0031-8949 |
ISBN |
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Medium |
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| Area |
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Expedition |
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Conference |
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| Notes |
WOS:000543208700001 |
Approved |
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| Call Number |
UAI @ eduardo.moreno @ |
Serial |
1184 |
| Permanent link to this record |
