2026-03-13T07:34:42Z https://kanazawa-u.repo.nii.ac.jp/oai

oai:kanazawa-u.repo.nii.ac.jp:00010564 2024-06-20T06:01:38Z 934:935:937

On Three Magnetic Relativistic Schrödinger Operators and Imaginary-Time Path Integrals 一瀬, 孝 20024044 Ichinose, Takashi Three magnetic relativistic Schrödinger operators are considered corresponding to the classical relativistic Hamiltonian symbol with magnetic vector and electric scalar potentials. We discuss their difference in general and their coincidence in the case of constant magnetic fields, as well as whether they are covariant under gauge transformation. Then results are surveyed on path integral representations for their respective imaginary-time relativistic Schrödinger equations, i. e. heat equations, by means of the probability path space measure coming from the Lévy process concerned. © 2012 Springer. Springer 2012-09-01 2017-10-03 eng journal article AM https://doi.org/10.24517/00010551 http://hdl.handle.net/2297/32455 https://kanazawa-u.repo.nii.ac.jp/records/10564 10.24517/00010551 10.1007/s11005-012-0573-6 AA00716733 0377-9017 Letters in Mathematical Physics 101 3 323 339 https://kanazawa-u.repo.nii.ac.jp/record/10564/files/SC-PR-ICHINOSE-T-323.pdf application/pdf 160.3 kB 2017-10-03