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

 

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Библиографические подробности
Автор: Cambronero V., Santiago
Формат: artículo original
Статус:Versión publicada
Дата публикации:2002
Описание: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].
Страна:Portal de Revistas UCR
Институт:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Язык:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/214
Online-ссылка:https://revistas.ucr.ac.cr/index.php/matematica/article/view/214
Ключевое слово:Schrödinger Operator
Ornstein – Uhlenbeck Process
Periodic Groundstate
Circular Brownian Motion
Operador de Schrödinger
proceso de Ornstein – Uhlenbeck
estado periódico
movimiento browniano circula