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

 

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Autore: Cambronero V., Santiago
Natura: artículo original
Status:Versión publicada
Data di pubblicazione:2002
Descrizione: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].
Stato:Portal de Revistas UCR
Istituzione:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lingua:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/214
Accesso online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/214
Keyword:Schrödinger Operator
Ornstein – Uhlenbeck Process
Periodic Groundstate
Circular Brownian Motion
Operador de Schrödinger
proceso de Ornstein – Uhlenbeck
estado periódico
movimiento browniano circula