Some Ornstein-Uhlenbeck potentials for the one-dimensional Schrödinger operator part II: position-dependent drift

 

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Autor: Cambronero V., Santiago
Formato: artículo original
Estado:Versión publicada
Data de Publicação:2002
Descrição:We consider the Schrödinger operator on the unit circle, whose potential is an Ornstein – Uhlenbeck type process, with drift depending on its position. We describe the distribution of the periodic groundstate, based on the circular brownian motion measure. The results exposed here, have been mentioned, but not proved, in [7].
País:Portal de Revistas UCR
Recursos:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Idioma:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/214
Acesso em linha:https://revistas.ucr.ac.cr/index.php/matematica/article/view/214
Palavra-chave:Schrödinger Operator
Ornstein – Uhlenbeck Process
Periodic Groundstate
Circular Brownian Motion
Operador de Schrödinger
proceso de Ornstein – Uhlenbeck
estado periódico
movimiento browniano circula