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Exact commutation relations for the Cooper pair operators and the problem of two interacting Cooper’s pairs

✍ Scribed by I.G. Kaplan; O. Navarro; J.A. Sánchez

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
125 KB
Volume
419
Category
Article
ISSN
0921-4534

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✦ Synopsis

The analysis of trilinear commutation relations for the Cooper pair operators reveals that they correspond to the modified parafermi statistics of rank p = 1. Two different expressions for the Cooper pair number operator are presented. We demonstrate that the calculations with a Hamiltonian expressed via pairon operators is more convenient using the commutation properties of these operators without presenting them as a product of fermion operators. This allows to study problems in which the interactions between CooperÕs pairs are also included. The problem with two interacting CooperÕs pairs is resolved and its generalization in the case of large systems is discussed.

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