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

Jan Milewski

Banach Center Publications (2007)

  • Volume: 78, Issue: 1, page 265-273
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Jan Milewski. "The spaces of quantum states for some harmonic oscillator potentials on the punctured plane C∖{0}." Banach Center Publications 78.1 (2007): 265-273. <http://eudml.org/doc/281805>.

@article{JanMilewski2007,
abstract = {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.},
author = {Jan Milewski},
journal = {Banach Center Publications},
keywords = {topological quantum mechanics; space of quantum states; equivariant functions; evolution operator},
language = {eng},
number = {1},
pages = {265-273},
title = {The spaces of quantum states for some harmonic oscillator potentials on the punctured plane C∖\{0\}},
url = {http://eudml.org/doc/281805},
volume = {78},
year = {2007},
}

TY - JOUR
AU - Jan Milewski
TI - The spaces of quantum states for some harmonic oscillator potentials on the punctured plane C∖{0}
JO - Banach Center Publications
PY - 2007
VL - 78
IS - 1
SP - 265
EP - 273
AB - 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.
LA - eng
KW - topological quantum mechanics; space of quantum states; equivariant functions; evolution operator
UR - http://eudml.org/doc/281805
ER -

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