Some problems of quantum mechanics possessing a non-negative phase-space distribution function |
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Authors: | V. V. Kuryshkin |
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Affiliation: | (1) Equipe de Recherche sur les Fondements de la Physique Quantique, Académie des Sciences, 3 rue Mazarine, Paris 6e, France |
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Abstract: | In order to clarify physical consequences due to the presence of a set of auxiliary functionsk(q,t) in quantum mechanics with a non-negative phase-space distribution function, the simplest quantum-mechanical problems are solved. It is shown thatk(q,t) influence upon the results of a problem. Therefore it is supposed thatk(q, t) reflect some physical reality (subquantum situation), interacting with a mechanical system. In particular the subquantum situation determines the minimum coordinate and momentum uncertainties ((q)2 and (p)2) as well as the coordinate distribution of a fixed system and the momentum distribution of a free system. These results provide the opportunity to formulate the notion of a stationary homogeneous isotropic subquantum situation. Supposing thatq andp are small an attempt is made to develop an approximate method of solutions (quasi-orthodox approximation). Energy spectrum of an electron in a hydrogen atom is found in the second order of this approximation.On leave of absence from Peoples' Friendship University, Chair of Theoretical Physics, 3, Ordjonikidze Street, B-302, Moscow, U.S.S.R. |
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