79 citations · 157 across the 13 of their papers we have counts for
13 papers
On Three Imaginary-time Path Integral Formulas with Magnetic Fields in Relativistic Quantum Mechanics
Takashi Ichinose
Three magnetic relativistic Schrödinger operators are considered, corresponding to the classical relativistic Hamiltonian symbol with both magnetic vector and electric scalar poten…
Kato's Inequality for Magnetic Relativistic Schrödinger Operators
Fumio Hiroshima, Takashi Ichinose, József Lőrinczi
Kato's inequality is shown for the magnetic relativistic Schrödinger operator defined as the operator theoretical {\it square root} of the selfadjoint, magnetic nonrelati…
The Zero-Mass Limit Problem for a Relativistic Spinless Particle in an Electromagnetic Field
Takashi Ichinose, Taro Murayama
It is shown that mass-parameter-dependent solutions of the imaginary-time magnetic relativitstic Schrödinger equations converge as functionals of Lévy processes represented by stoc…
Magnetic Relativistic Schrödinger Operators and \\Imaginary-time Path Integrals
Takashi Ichinose
Three magnetic relativistic Schrödinger operators corresponding to the classical relativistic Hamiltonian symbol with magnetic vector and electric scalar potentials are considered,…
Improved Sobolev Embedding Theorems for Vector-valued Functions
Takashi Ichinose, Yoshimi Saitō
The aim of this paper is to give an extension of the improved Sobolev embedding theorem for single-valued functions to the case of vector-valued functions which is involved with th…
Lieb-Thirring Bound for Schrödinger Operators with Bernstein Functions of the Laplacian
Fumio Hiroshima, József Lörinczi
A Lieb-Thirring bound for Schrödinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques. Several specific cases are discussed in det…