Semiclassical expansion of a one-body density matrix for noninteracting fermions in d dimensions
| Autor: | Y. Redjati, K. Bencheikh, K. Berkane |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Density matrix
Physics Time evolution Propagator Semiclassical physics 02 engineering and technology General Chemistry Fermion 010402 general chemistry 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences 0104 chemical sciences symbols.namesake Effective mass (solid-state physics) symbols General Materials Science 0210 nano-technology Fermi gas Hamiltonian (quantum mechanics) Mathematical physics |
| Zdroj: | Journal of Physics and Chemistry of Solids. 134:313-318 |
| ISSN: | 0022-3697 |
| DOI: | 10.1016/j.jpcs.2019.06.007 |
| Popis: | We present a semiclassical expansion up to order ℏ 2 for the one-body density matrix in one spatial dimension of a confined Fermi gas by considering a more general situation where the associated one-body Hamiltonian contains a position-dependent effective mass. As a follow-up to the result, we obtain a semiclassical expansion of the time evolution propagator for the case where the Hamiltonian contains a position-dependent effective mass and an arbitrary smooth potential. For the case of a Hamiltonian with a constant effective mass and for possible applications in density-functional theory, we report a unifying scaling law for spatial dimension. d = 1,2,3,4 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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