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Notes on the Cauchy problem for the self-adjoint and non-self-adjoint Schroedinger equations with polynomially growing potentials
W. Ichinose, T. Aoki
The Cauchy problem is studied for the self-adjoint and non-self-adjoint Schroedinger equations. We first prove the existence and uniqueness of solutions in the weighted Sobolev spa…
On the Feynman path integral for the magnetic Schroedinger equation with a polynomially growing electromagnetic potential
Wataru Ichinose
The Feynman path integrals for the magnetic Schroedinger equations are defined mathematically, in particular, with polynomially growing potentials in the spatial direction. For exa…
Notes on the Feynman path integral for the Dirac equation
Wataru Ichinose
This paper is a continuation of the author's preceding one. In the preceding paper the author has rigorously constructed the Feynman path integral for the Dirac equation in the for…
Mathematical Remarks on the Feynman Path Integral for Nonrelativistic Quantum Electrodynamics
Wataru Ichinose
The Feynman path integral for nonrelativistic quantum electrodynamics is studied mathematically of a standard model in physics, where the electromagnetic potential is assumed to be…