The spaces of quantum states for some harmonic oscillator potentials on the punctured plane ${\bf C}\setminus \{ 0 \}$
Volume 78 / 2007
Banach Center Publications 78 (2007), 265-273
MSC: 35J10, 81Q70.
DOI: 10.4064/bc78-0-19
Abstract
We consider equivariant solutions of Schrödinger equations on ${\bf C} \setminus \{ 0 \}$ with harmonic oscillator potentials. We determine the spaces of equivariant quantum states in three cases: for an isotropic and anisotropic harmonic oscillator potential centered at $0$, and for a potential not centered at $0$.
