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| related topics |
| {field, particle, equation} |
| {equation, function, exp} |
| {cos, sin, state} |
| {energy, state, states} |
| {let, theorem, proof} |
| {wave, scattering, interference} |
|
Band theory in the context of the Hamilton-Jacobi formulation
A. Bouda, A. Mohamed Meziane
abstract: In the one-dimensional periodic potential case, we formulate the condition of
Bloch periodicity for the reduced action by using the relation between the wave
function and the reduced action established in the context of the equivalence
postulate of quantum mechanics. Then, without appealing to the wave function
properties, we reproduce the well-known dispersion relations which predict the
band structure for the energy spectrum in the Kr\"onig-Penney model.
- oai_identifier:
- oai:arXiv.org:quant-ph/0703016
- categories:
- quant-ph hep-th
- comments:
- 10 pages, no figures
- doi:
- 10.1007/s10773-006-9206-0
- arxiv_id:
- quant-ph/0703016
- journal_ref:
- Int.J.Theor.Phys.45:2377,2006
- created:
- 2007-03-02
Full article ▸
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