The spaces of quantum states for some harmonic oscillator potentials on the punctured plane C∖{0}
Jan Milewski
Banach Center Publications, Tome 75 (2007), p. 265-273 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:281805 
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     author = {Jan Milewski},
     title = {The spaces of quantum states for some harmonic oscillator potentials on the punctured plane C\{0}},
     journal = {Banach Center Publications},
     volume = {75},
     year = {2007},
     pages = {265-273},
     zbl = {1135.35077},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-19}
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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, Tome 75 (2007) pp. 265-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-19/