1109.5829v2.pdf (276.88 kB)
Probabilistic representation and fall-off of bound states of relativistic Schrodinger operators with spin 1/2
journal contribution
posted on 2016-06-07, 13:55 authored by Fumio Hiroshima, Takashi Ichinose, Jozsef LorincziA Feynman-Kac type formula of relativistic Schrodinger operators with unbounded
vector potential and spin 1/2 is given in terms of a three-component process consisting
of 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 decaying potentials by using martingale
methods.
History
School
- Science
Department
- Mathematical Sciences
Published in
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCESVolume
49Issue
1Pages
189 - 214 (26)Citation
HIROSHIMA, F., ICHINOSE, T. and LORINCZI, J., 2013. Probabilistic representation and fall-off of bound states of relativistic Schrodinger operators with spin 1/2. Publications of the Research Institute for Mathematical Sciences, 49 (1), pp.189-214Publisher
European Mathematical Society (© Kyoto University)Version
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2013ISSN
0034-5318eISSN
1663-4926Publisher version
Language
- en