Probabilistic representation and fall-off of bound states of relativistic Schrödinger operators with spin 1/2

Fumio Hiroshima, Takashi Ichinose, József Lorinczi

研究成果: Contribution to journalArticle査読

10 被引用数 (Scopus)

抄録

A Feynman-Kac type formula for relativistic Schrödinger operators with unbounded vector potential and spin 1=2 is given in terms of a three-component process consisting of a Brownian motion, a Poisson process and a subordinator. This formula is obtained for unbounded magnetic fields and magnetic fields with zeros. From this formula an energy comparison inequality is derived. Spatial decay of bound states is established separately for growing and for decaying potentials by using martingale methods.

本文言語英語
ページ(範囲)189-214
ページ数26
ジャーナルPublications of the Research Institute for Mathematical Sciences
49
1
DOI
出版ステータス出版済み - 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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