A simple difference realization of the Heisenberg q-algebra
Atakishiyev, N.M.; Frank, A.; Wolf, K.B.
Proceedings of the international workshop on symmetry methods in physics in memory of professor Ya.A. Smorodinsky. Volume 11994
Proceedings of the international workshop on symmetry methods in physics in memory of professor Ya.A. Smorodinsky. Volume 11994
AbstractAbstract
[en] A realization of the Heisenberg q-algebra whose generators are first-order difference operators on the full real line is discussed. The eigenfunctions of the corresponding q-oscillator Hamiltonian are given explicitly in terms of the q-1 Hermite polynomials. The non-uniqueness of the measure for these q-oscillator is also studied. 15 refs
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Sissakian, A.N.; Pogosyan, G.S.; Vinitsky, S.I. (eds.); Joint Inst. for Nuclear Research, Dubna (Russian Federation); 318 p; 1994; p. 9-15; JINR; Dubna (Russian Federation); International workshop on symmetry methods in physics in memory of professor Ya.A.Smorodinsky; Mezhdunarodnyj seminar o metodakh simmetrii v fizike v pamyat' professora Ya.A.Smorodinskogo; Dubna (Russian Federation); 6-10 Jul 1993
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