Bernstein processes and Pauli-type equations

Boualem Djehiche

doi:10.1007/BF01049394

Bernstein processes and Pauli-type equations

Boualem Djehiche

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We use ideas from a previous paper by the author to construct a Markov Bernstein process, whose probability density is the product of the solutions of the (imaginary time) Schrödinger-equation and its adjoint equation, associated to a class of Pauli-type Hamiltonians. A path integral representation of these solutions is obtained as well as the associated regularised Newton equations.

Original language	English (US)
Pages (from-to)	349-370
Number of pages	22
Journal	Potential Analysis
Volume	2
Issue number	4
DOIs	https://doi.org/10.1007/BF01049394
State	Published - Dec 1993

Keywords

Bernstein processes
Markov processes
Mathematics Subject Classifications (1991): Primary: 60J25, 60K40, 81Q05, 81S40, Secondary: 35K05, 60H10, 60J60, 60J75, 81P20
path integrals
Pauli equation
quantum mechanics
spin 1/2 particles

ASJC Scopus subject areas

Analysis

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10.1007/BF01049394

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AB - We use ideas from a previous paper by the author to construct a Markov Bernstein process, whose probability density is the product of the solutions of the (imaginary time) Schrödinger-equation and its adjoint equation, associated to a class of Pauli-type Hamiltonians. A path integral representation of these solutions is obtained as well as the associated regularised Newton equations.

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KW - Markov processes

KW - Mathematics Subject Classifications (1991): Primary: 60J25, 60K40, 81Q05, 81S40, Secondary: 35K05, 60H10, 60J60, 60J75, 81P20

KW - path integrals

KW - Pauli equation

KW - quantum mechanics

KW - spin 1/2 particles

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Bernstein processes and Pauli-type equations

Abstract

Keywords

ASJC Scopus subject areas

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