23 citations · 84 across the 8 of their papers we have counts for
8 papers
Zero Energy Solutions and Vortices in Schroedinger Equations
Tsunehiro Kobayashi, Toshiki Shimbori
All two-dimensional Schrödinger equations with symmetric potentials \break is shown to have zero energy states…
Supersymmetric Quantum Mechanics of Scattering
Toshiki Shimbori, Tsunehiro Kobayashi
In the quantum mechanics of collision problems we must consider scattering states of the system. For these states, the wave functions do not remain in Hilbert space, but they are e…
Entropy Burst from Parabolic Potentials
Tsunehiro Kobayashi, Toshiki Shimbori
The change of the energy of ground state is investigated in a thermodynamical process by using the model described by one-dimensional harmonic oscillator + two-dimensional isotropi…
Stationary Flows of the Parabolic Potential Barrier in Two Dimensions
Toshiki Shimbori, Tsunehiro Kobayashi
In the two-dimensional isotropic parabolic potential barrier , though it is a model of an unstable system in quantum mechanics, we can obtain the sta…
Statistical Mechanics for States with Complex Eigenvalues and Quasi-stable Semiclassical Systems
T. Kobayashi, T. Shimbori
Statistical mechanics for states with complex eigenvalues, which are described by Gel'fand triplet and represent unstable states like resonances, are discussed on the basis of prin…
"Velocities" in Quantum Mechanics
Toshiki Shimbori, Tsunehiro Kobayashi
The present paper deals with some kind of quantum ``velocity'' which is introduced by the method of hydrodynamical analogy. It is found that this ``velocity'' is in general irrotat…