arXiv subjects

Ivan Yu. Krivsky

Publications and source records attributed to Ivan Yu. Krivsky.

3 recordsLinked to original sources

arXiv2002

On representations of the inhomogeneous de Sitter group and on equations of the Schrodinger-Foldy type

This paper is a continuation and elaboration of our work quant-ph/0206057 (Nucl. Phys. B, 1968, 7, 79) where some approach to the variable-mass problem were proposed. Here we have found a concret realization of irreducible representations of the inhomogeneous group P(1,n) - the group of translations and rotations in (1+n)-dimensional Minkowski space in two classes (when P_0^2-P_k^2>0 and P_0^2-P_k^2<0). All the P(1,n)-invariant equations of the Schrodinger-Foldy type are written down. Some questions of a physical interpretation of the quantum, mechanical scheme based on the inhomogeneous de Sitter group P(1,n) are discussed.

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arXiv2002

On a possible approach to the variable-mass problem

The mass operator M is introduced as an independent dynamical variable which is taken as the translation generator P_4 of the inhomogenous De Sitter group. The classification of representations of the algebra P(1,4) of this group is performed and the corresponding P(1,4) invariant equations for variable-mass particles are written out. In this way we have succeeded, in particular, in uniting the ``external'' and ``internal'' (SU_2) symmetries in a non-trivial fashion.

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arXiv2002

On representations of the inhomogeneous de Sitter group and equations in five-dimensional Minkowski space

This paper is a continuation and elaboration of our brief notice quant-ph/0206057 (Nucl. Phys. B, 1968, 7, 79) where some approach to the variable-mass problem was proposed. Here we have found a definite realization of irreducible representations of the inhomogeneous group P(1,n), the group of translations and rotations in (1+n)-dimensional Minkowski space, in two classes (when P_0^2-P_k^2>0 and P_0^2-P_k^2<0). All P(1,n)-invariant equations of the Schrodinger-Foldy type are written down. Some equations of physical interpretation of the quantal scheme based on the inhomogeneous de Sitter group P(1,4) are discussed. The analysis of the Dirac and Kemmer-Duffin type equations in the P(1,4) scheme is carried out. A concrete realization of representations of the algebra P(1,4) connected with this equations, is obtained. The transformations of the Foldy-Wouthuysen type for this equations are found. It is shown that in the P(1,4) scheme of the Kemmer-Duffin type equation describes a fermion multiplet like the nucleon-antinucleon.

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