Thermo field dynamics in the treatment of the nuclear pairing problem at finite temperature |
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Authors: | O. Civitarese A. L. DePaoli |
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Affiliation: | 1. Department of Physics, University of La Plata, C.C.67, (1900), La Plata, Argentina
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Abstract: | The use of the thermo field dynamics, in dealing with the study of nuclear properties at finite temperature, is discussed for the case of a nuclear Hamiltonian which includes a single-particle term and a monopole pairing residual two-body interaction. The rules of the thermo field dynamics are applied to double the Hilbert space, thus accounting for the thermal occupation of single-particle states, and to construct dual spaces, both for single-particle (BCS) and collective (RPA) degrees of freedom. It is shown that the rules of the thermo field dynamics yield to a temperature dependence of the equations describing quasiparticle and phonon excitations which is similar to the one found in the more conventional finite temperature Wick's theorem approach, namely: by dealing with thermal averages. |
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