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

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφέας: Cambronero V., Santiago
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:2002
Περιγραφή: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].
Χώρα:Portal de Revistas UCR
Ίδρυμα:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Γλώσσα:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/214
Διαθέσιμο Online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/214
Λέξη-Κλειδί :Schrödinger Operator
Ornstein – Uhlenbeck Process
Periodic Groundstate
Circular Brownian Motion
Operador de Schrödinger
proceso de Ornstein – Uhlenbeck
estado periódico
movimiento browniano circula