Some Ornstein-Uhlenbeck potentials for the one-dimensional Schrödinger operator part II: position-dependent drift
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 mention...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| País: | Costa Rica |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Idioma: | español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/214 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/214 |
| Access Level: | acceso abierto |
| Palabra clave: | Schrödinger Operator Ornstein – Uhlenbeck Process Periodic Groundstate Circular Brownian Motion Operador de Schrödinger proceso de Ornstein – Uhlenbeck estado periódico movimiento browniano circula |
| Sumario: | 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]. |
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