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International Journal of Modern Physics E

THE q-DEFORMED MOSZKOWSKI MODEL REVISITED

F.W. FÁVERO, Luís Orlando Emerich dos Santos, Débora Peres Menezes

Published Sep 1, 1995• 2 citations
Publisher

Abstract

In this paper, we have used the q-deformed Moszkowski model to study the validity of the coherent states variational method, to observe the differences arising from two different deformation procedures and, finally, to look at the evolution in time of the system by means of the time dependent variational principle.
DOI
10.1142/s0218301395000201

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The behaviour of the Moszkowski model within the context of quantum algebras is studied. The Moszkowski Hamiltonian is exactly diagonalized for various values of the deformation parameter of the involved quantum algebra. The phase transition from a vibrational regime to a rotational regime is discussed in terms of the q-deformation. A coherent state for the ground state is introduced, and the Hartree-Fock energy and the RPA frequencies are compared with the exact values. The meaning of the q-deformation in this model is discussed.
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