Semi-Classical Limit of a Schrödinger Equationfor a Stratified Material

Autor:	Frédéric Poupaud, Philippe Bechouche
Rok vydání:	2000
Předmět:	symbols.namesake General Mathematics Lattice (order) Mathematical analysis Thermodynamic limit symbols Electron Planck constant Classical limit Schrödinger's cat Mathematics
Zdroj:	Monatshefte f�r Mathematik. 129:281-301
ISSN:	1436-5081 0026-9255
DOI:	10.1007/s006050050076
Popis:	We study the semi-classical limit of the dynamic of electrons in a stratified medium. The medium is assumed to be periodic in one direction and slowly varying in the other directions. In this case, a small parameter ɛ is introduced and corresponds both to the Planck constant and to scaled lattice thickness. The limit behavior is studied by means of Wigner measures. The limit process is described by infinitely many transport (Vlasov) equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7db3ebadbd130c14ccad12374bb2f8b2 https://doi.org/10.1007/s006050050076 Zobrazit plný text záznamu Full text from SpringerLink