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Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations

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Abstract

Various aspects of the calculus of functions of ordered self-adjoint operators are considered. Passage to the commutative limit in the case of general nonlinear commutation relations is studied. An asymptotic solution of the Cauchy problem and asymptotically self-similar solutions are constructed for unitary-nonlinear operator equations. Asymptotic solutions are found for the Hartree equation with Coulomb interaction.

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Authors
  1. M. V. Karasev
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  2. V. P. Maslov
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Translated from Itogi Nauki i Tekhniki, Sovremennye Problemy Matematiki, Vol. 13, pp. 145–267, 1979.

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Karasev, M.V., Maslov, V.P. Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations. J Math Sci 15, 273–368 (1981). https://doi.org/10.1007/BF01083679

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