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On function spaces for quantum systems with constraints

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Abstract

Various realizations of the Hilbert state space for quantum systems with linear constraints are considered. One of the realizations is the completion of a Schwartz space with inner product differing from L 2. Another realization is a special class of distributions with inner product. An isomorphism between these realizations is constructed, and the properties of the operators are studied.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    O. Yu. Shvedov

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  1. O. Yu. Shvedov
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Correspondence to O. Yu. Shvedov.

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Deceased.

Original Russian Text © O. Yu. Shvedov, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 4, pp. 597–618.

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Shvedov, O.Y. On function spaces for quantum systems with constraints. Math Notes 100, 607–624 (2016). https://doi.org/10.1134/S0001434616090327

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  • DOI: https://doi.org/10.1134/S0001434616090327

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