Deformed Heisenberg algebras, a Fock-space representation and the Calogero model (CROSBI ID 88256)
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Podaci o odgovornosti
Bardek, Velimir ; Meljanac, Stjepan
engleski
Deformed Heisenberg algebras, a Fock-space representation and the Calogero model
We describe generally deformed Heisenberg algebras in one dimension. The condition for a generalized Leibniz rule is obtained and solved. We analyze conditions under which deformed quantum-mechanical problems have a Fock-space representation. One solution of these conditions leads to a q-deformed oscillator already studied by Lorek ct al., and reduces to the harmonic oscillator only in the infinite-momentum frame. The other solution leads to the Calogero model in ordinary quantum mechanics, but reduces to the harmonic oscillator in the absence of deformation.
deformed Heisenberg algebra; Fock space; Calogero model
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