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Noncommutative four-dimensional subalgebras of conformal algebra integrable in the space R1,3

  • Physics Of Elementary Particles And Field Theory
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Russian Physics Journal Aims and scope

Abstract

D'alambert's equation is used as an example to study the possibilities of a new method of exactly integrating systems of linear differential equations — the method of noncommutative integration (NI). The results confirm that use of the NI is equivalent to complete separation of the variables in the case of four-dimensional subalgebras of conformal algebra. However, the method does simplify determination of the exact solution in this instance.

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Authors
  1. A. V. Shapovalov
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  2. I. V. Shirokov
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  3. Ya. V. Lisitsyn
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  4. V. I. Firstov
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Additional information

Tomsk University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 120–124, February, 1995.

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Shapovalov, A.V., Shirokov, I.V., Lisitsyn, Y.V. et al. Noncommutative four-dimensional subalgebras of conformal algebra integrable in the space R1,3 . Russ Phys J 38, 209–212 (1995). https://doi.org/10.1007/BF00560249

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  • DOI: https://doi.org/10.1007/BF00560249

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