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Conservation laws for polynomial Hamiltonians and for discrete models of the Boltzmann equation

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Abstract

Conservation laws that are linear with respect to the number of particles are constructed for classical and quantum Hamiltonians. A class of relaxation models generalizing discrete models of the Boltzmann equation are also considered. Conservation laws are written for these models in the same form as for the Hamiltonians.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, RAS, Moscow, Russia

    V. V. Vedenyapin & Yu. N. Orlov

Authors
  1. V. V. Vedenyapin
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  2. Yu. N. Orlov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 121, No. 2, pp. 307–315, November, 1999.

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Vedenyapin, V.V., Orlov, Y.N. Conservation laws for polynomial Hamiltonians and for discrete models of the Boltzmann equation. Theor Math Phys 121, 1516–1523 (1999). https://doi.org/10.1007/BF02557222

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  • DOI: https://doi.org/10.1007/BF02557222

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