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Deformed Heisenberg algebras, a Fock-space representation and the Calogero model (CROSBI ID 88256)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Bardek, Velimir ; Meljanac, Stjepan Deformed Heisenberg algebras, a Fock-space representation and the Calogero model // European physical journal C : particles and fields, 17 (2000), 3; 539-547-x

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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Podaci o izdanju

17 (3)

2000.

539-547-x

objavljeno

1434-6044

Povezanost rada

Fizika

Indeksiranost