178 citations · 311 across the 23 of their papers we have counts for
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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…
Statistical Mechanics for Unstable States in Gel'fand Triplets and Investigations of Parabolic Potential Barriers
Tsunehiro Kobayashi, Toshiki Shimbori
Free energies and other thermodynamical quantities are investigated in canonical and grand canonical ensembles of statistical mechanics involving unstable states which are describe…
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…
"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…