108 citations · 1.2k across the 67 of their papers we have counts for
Showing 2002Show all
3 papers · 1 filter
quant-ph2002★ 14 cited
Supersymmetric Quantum Mechanics with a Point Singularity
Takashi Uchino, Izumi Tsutsui
We study the possibility of supersymmetry (SUSY) in quantum mechanics in one dimension under the presence of a point singularity. The system considered is the free particle on a li…
quant-ph2002★ 54 cited
Connection Conditions and the Spectral Family under Singular Potentials
Izumi Tsutsui, Tamas Fulop, Taksu Cheon
To describe a quantum system whose potential is divergent at one point, one must provide proper connection conditions for the wave functions at the singularity. Generalizing the sc…
quant-ph2002★ 19 cited
Quantum Tunneling and Caustics under Inverse Square Potential
Hitoshi Miyazaki, Izumi Tsutsui
Quantization of a harmonic oscillator with inverse square potential on the line is re-examined. It is shown that, for $0<g<3{\hbar…