Solvability of the Schrödinger equation by stochastic integration of magnetic fields (Q1326321)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Solvability of the Schrödinger equation by stochastic integration of magnetic fields |
scientific article; zbMATH DE number 569055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of the Schrödinger equation by stochastic integration of magnetic fields |
scientific article; zbMATH DE number 569055 |
Statements
Solvability of the Schrödinger equation by stochastic integration of magnetic fields (English)
0 references
24 July 1994
0 references
We solve the heat equation associated with a Schrödinger operator with magnetic field on \(R^ d\) using a stochastic integral which involves only the magnetic field and does not use any potential of the field. Then we study a particular case on the torus \(T^ d\) to show that our formula is no longer true and that an hypothesis like simple connexity is necessary.
0 references
heat equation
0 references
Schrödinger operator
0 references
0 references
0 references
