The spaces of quantum states for some harmonic oscillator potentials on the punctured plane C∖{0}

• Autorzy: Jan Milewski
• Języki publikacji: EN

Abstrakty

EN

We consider equivariant solutions of Schrödinger equations on C∖{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.

Kategorie tematyczne

• 81Q70: Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.
• 35J10: Schr\"odinger operator

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 265-273

Daty

wydano

2007

Twórcy

autor

Jan Milewski

• Institute of Mathematics, Poznań University of Technology, ul. Piotrowo 3A, 60-965 Poznań, Poland

Identyfikatory

DOI

10.4064/bc78-0-19