28 citations · 176 across the 28 of their papers we have counts for
6 papers · 1 filter
Quantum Walk on Orbit Spaces
Satoshi Ohya
Inspired by the covering-space method in path integral on multiply connected spaces, we here present a universal formula of time-evolution kernels for continuous- and discrete-time…
Discrete Scale-Invariant Boson-Fermion Duality in One Dimension
Satoshi Ohya
We introduce models of one-dimensional -body problems that undergo phase transition from a continuous scale-invariant phase to a discrete scale-invariant phase. In this p…
A Generalization of the One-Dimensional Boson-Fermion Duality Through the Path-Integral Formalism
Satoshi Ohya
We study boson-fermion dualities in one-dimensional many-body problems of identical particles interacting only through two-body contacts. By using the path-integral formalism as we…
Potential Algebra Approach to Quantum Mechanics with Generalized Uncertainty Principle
Satoshi Ohya, Pinaki Roy
In this note, we study the potential algebra for several models arising out of quantum mechanics with generalized uncertainty principle. We first show that the eigenvalue equation…
Algebraic Description of Shape Invariance Revisited
Satoshi Ohya
We revisit the algebraic description of shape invariance method in one-dimensional quantum mechanics. In this note we focus on four particular examples: the Kepler problem in flat…
Particle Propagation on a Circle with a Point Interaction
Satoshi Ohya, Makoto Sakamoto
We study a particle propagation on a circle in the presence of a point interaction. We show that the one-particle Feynman kernel can be written into the sum of reflected and transm…