Email this article On function spaces for quantum systems with constraints
- Authors: Shvedov O.Y.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 100, No 3-4 (2016)
- Pages: 607-624
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149809
- DOI: https://doi.org/10.1134/S0001434616090327
- ID: 149809
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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 L2. 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.
About the authors
O. Yu. Shvedov
Lomonosov Moscow State University
Author for correspondence.
Email: mz@mi.ras.ru
Russian Federation, Moscow
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