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QP-PQ, quantum probability and white noise analysis

Phonion Limits and Macroscopic quasi-particle spectrum for the BCS-model

M. Broidioi, B. Momont, André F. Verbeure, K. U. Leuven

Published Sep 1, 1993• 0 citations
Publisher
DOI
10.1142/9789812812810_0026

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We find the rules which count the energy levels of the 3 state superintegrable chiral Potts model and demonstrate that these rules are complete. We then derive the complete spectrum of excitations in the thermodynamic limit in the massive phase and demonstrate the existence of excitations which do not have a quasi-particle form. The physics of these excitations is compared with the BCS superconductivity spectrum and the counting rules are compared with the closely related S=1S=1S=1 XXZ spin chain.
We begin our study of the superfluid Bose liquid with a brief review of the experimental and theoretical background of the liquid 4 He, the only Bose liquid found naturally in the laboratory. We then consider, in Chapter 2 , the quasi-particle excitations and show how at T = 0 the macroscopic occupation of the zero momentum state leads, in the long wavelength limit, to an identical excitation spectrum for quasi-particles and density fluctuations. The spectrum consists in phonons with a velocity given by the macroscopic velocity of sound. We turn in Chapter 3 to a consideration of the observed elementary excitation spectrum of He II. We discuss both the experimental measurements and the theories that have thus far been proposed to explain them.