Is Small Violation of the Pauli Principle Possible

摘要

The Pauli exclusion principle is one of the most fundamental laws of nature. Yet the experiment shows that many fundamental laws are in fact not absolute, but only approximate, i.e. are valid only to a certain accuracy. At present, however, there are no answers to the question: ''To what accuracy is the Pauli principle valid.'' This is so because there are no models capable of describing small deviations from the exclusion principle. In the present paper we consider the problem of constructing such models. We have constructed the simplest algebra of the creation and annihilation operators with a parameter beta which incorporates the small violations of the Pauli principle (for beta =0 the Pauli principle holds absolutely true). The commutation relations in this model prove to be trilinear. We then present a model Hamiltonian based on the constructed algebra which describes the Pauli principle violating transitions i.e. transitions of two identical particles into the same state with the probability suppressed by a factor of beta /sup 2/ (notwithstanding the fact that the Hamiltonian itself does not contain any small parameters). (author). 8 refs. (Atomindex citation 19:037178)