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

Banach Center Publications (2007)

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

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topJan 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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