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The invariant representation of generalized momentum

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

The relativistic-invariance representation of generalized momentum of a particle in the external field is proposed. In this representation the dependence of potentials of the particle-field interaction on the particle velocity is taken into account. An exact correspondence of expressions for the energy and potential energy for the classical Hamiltonian is established, which makes identical the solutions of problems of mechanics with relativistic and classical approaches. The invariance of the generalized momentum representation allows one to describe equivalently a physical system in geometrically conjugated spaces of kinematical and dynamical variables.

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Authors and Affiliations

  1. Institute for Physical Research, NAS of Armenia, Ashtarak, Armenia

    V. M. Mekhitarian

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  1. V. M. Mekhitarian
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Original Russian Text © V.M. Mekhitarian, 2012, published in Izvestiya NAN Armenii, Fizika, 2012, Vol. 47, No. 6, pp. 379–390.

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Mekhitarian, V.M. The invariant representation of generalized momentum. J. Contemp. Phys. 47, 249–256 (2012). https://doi.org/10.3103/S1068337212060011

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  • DOI: https://doi.org/10.3103/S1068337212060011

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