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On the Dynamics of Crystal Electrons, high Momentum Regime
- Source :
- Journal of Mathematical Analysis and Applications, Journal of Mathematical Analysis and Applications, Elsevier, 2001, 256, N°1, pp.99-114, Journal of Mathematical Analysis and Applications, 2001, 256, N°1, pp.99-114
- Publication Year :
- 2000
- Publisher :
- arXiv, 2000.
-
Abstract
- We study the quantum dynamics generated by $H^{SW}=-{d^2\over dx^2}+V-x$ with $V$ a real periodic function of weak regularity. We prove that the continuous spectrum of $H^{SW}$ is never empty, and furthermore that for $V$ small enough there are no bound states.<br />Comment: 16 pages
- Subjects :
- Spectral theory
Quantum dynamics
Continuous spectrum
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
FOS: Physical sciences
Electron
01 natural sciences
symbols.namesake
Mathematics - Analysis of PDEs
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
Quantum mechanics
0103 physical sciences
Bound state
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
0101 mathematics
[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]
[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]
010306 general physics
Mathematical Physics
Mathematics
Applied Mathematics
010102 general mathematics
Mathematical Physics (math-ph)
[PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]
Periodic function
symbols
Hamiltonian (quantum mechanics)
Self-adjoint operator
Analysis
Analysis of PDEs (math.AP)
Subjects
Details
- ISSN :
- 0022247X and 10960813
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications, Journal of Mathematical Analysis and Applications, Elsevier, 2001, 256, N°1, pp.99-114, Journal of Mathematical Analysis and Applications, 2001, 256, N°1, pp.99-114
- Accession number :
- edsair.doi.dedup.....1a9b70cc7179a3c9e00c73baba9fec5e
- Full Text :
- https://doi.org/10.48550/arxiv.math-ph/0006005