224 citations · 634 across the 22 of their papers we have counts for
4 papers · 1 filter
An infinite family of superintegrable Hamiltonians with reflection in the plane
Sarah Post, Luc Vinet, Alexei Zhedanov
We introduce a new infinite class of superintegrable quantum systems in the plane. Their Hamiltonians involve reflection operators. The associated Schrödinger equations admit separ…
Supersymmetric Quantum Mechanics with Reflections
S. Post, L. Vinet, A. Zhedanov
We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Sc…
Surfaces immersed in Lie algebras associated with elliptic integrals
A. M. Grundland, S. Post
The main aim of this paper is to study soliton surfaces immersed in Lie algebras associated with ordinary differential equations (ODE's) for elliptic functions. That is, given a li…
A nonseparable quantum superintegrable system in 2D real Euclidean space
Sarah Post, Pavel Winternitz
In this paper, we derive a nonseparable quantum superintegrable system in 2D real Euclidean space. The Hamiltonian admits no second order integrals of motion but does admit one thi…