On three magnetic relativistic Schrödinger operators and imaginary-time path integrals
type: Item
instance of: scholarly article
title: On three magnetic relativistic Schrödinger operators and imaginary-time path integrals
zbMATH Open document ID: 1296.81025
author: Takashi Ichinose
published in: Letters in Mathematical Physics
publication date: 2012-12-06T00:00:00Z
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 35Q75
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 6113256
zbMATH Keywords: relativistic Schrödinger operator
zbMATH Keywords: pseudo-differential operators
zbMATH Keywords: quantization
zbMATH Keywords: Lévy process
zbMATH Keywords: path integral
zbMATH Keywords: imaginary-time path integral
zbMATH Keywords: Feynman-Kac formula
zbMATH Keywords: Feynman-Kac-Itô formula
MaRDI profile type: Publication
full work available at URL: s11005-012-0573-6
OpenAlex ID: W2076182800
cites work: Lévy Processes and Stochastic Calculus
cites work: On the relativistic Feynman-Kac-Ito formula
cites work: Q4503255
cites work: Q4257404
cites work: The norm convergence of the Trotter-Kato product formula with error bound
cites work: Sharp Error Bound on Norm Convergence of Exponential Product Formula and Approximation to Kernels of Schrödinger Semigroups
cites work: Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian
cites work: Note on the paper: ``The norm convergence of the Trotter--Kato product formula with error bound'' by T. Ichinose and H. Tamura.
cites work: Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
cites work: Magnetic pseudodifferential operators
cites work: Unicity of the integrated density of states for relativistic Schrödinger operators with regular magnetic fields and singular electric potentials
cites work: Q3959169
cites work: The Stability of Matter in Quantum Mechanics
cites work: Q3160267
cites work: Spectra of relativistic Schrödinger operators with magnetic vector potentials
cites work: Functional Analysis
DOI: 10.1007/S11005-012-0573-6
description: scientific article; zbMATH DE number 6113256