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math-ph2019★ 2 cited
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…
math-ph2019★ 2 cited
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…