The zero-mass limit problem for a relativistic spinless particle in an electromagnetic field

It is shown that mass-parameter-dependent solutions of the imaginary-time magnetic relativistic Schrödinger equations converge as functionals of Lévy processes represented by stochastic integrals of stationary Poisson point processes if mass-parameter goes to zero. © 2014 The Japan Academy.

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Bibliographic Details
Published inProceedings of the Japan Academy Series A: Mathematical Sciences Vol. 90; no. 3; pp. 60 - 65
Main Authors Ichinose, Takashi, Murayama, Taro
Format Journal Article
LanguageEnglish
Published Ueno Park 日本学士院 = Japan Academy 01.03.2014
The Japan Academy
Subjects
35S10
60F17
60G51
60H05
81S40
Applied mathematics
Atoms & subatomic particles
Electromagnetism
Feynman-Kac-Itô formula
Feynman-kac-itôformula
Imaginary-time relativistic schrödinger equation
Lévy process
Magnetic fields
Magnetic relativistic Schrödinger operator
path integral formula
Schrodinger equation
Online AccessGet full text
ISSN0386-2194
DOI10.3792/pjaa.90.60

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Summary:It is shown that mass-parameter-dependent solutions of the imaginary-time magnetic relativistic Schrödinger equations converge as functionals of Lévy processes represented by stochastic integrals of stationary Poisson point processes if mass-parameter goes to zero. © 2014 The Japan Academy.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0386-2194
DOI:10.3792/pjaa.90.60