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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 87, Number 2, Pages 163–172 (Mi tmf5480)  
This article is cited in 7 scientific papers (total in 7 papers)

Two mathematical problems of canonical quantization. II

A. I. Kirillov
Full-text PDF (1116 kB) Citations (7)
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Abstract: The problems of the choice of representation of the canonical commutation relations and of the definition of the Hamiltonian are investigated. The concept of a generalized density of a quasiinvariant measure is introduced. It is shown that the square root of this density is a solution of the Schrödinger equation and determines the ground state of the system. Ways of recovering the measure from its generalized density are considered.
Received: 31.10.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 87, Issue 2, Pages 447–454
DOI: https://doi.org/10.1007/BF01016117
Bibliographic databases:
Language: Russian
Citation: A. I. Kirillov, “Two mathematical problems of canonical quantization. II”, TMF, 87:2 (1991), 163–172; Theoret. and Math. Phys., 87:2 (1991), 447–454
Citation in format AMSBIB
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\by A.~I.~Kirillov
\paper Two mathematical problems of canonical quantization.~II
\jour TMF
\yr 1991
\vol 87
\issue 2
\pages 163--172
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129660}
\zmath{https://zbmath.org/?q=an:1189.81119}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 87
\issue 2
\pages 447--454
\crossref{https://doi.org/10.1007/BF01016117}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GR75800001}
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  • https://www.mathnet.ru/eng/tmf/v87/i2/p163
    Cycle of papers
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:398
    Full-text PDF :138
    References:60
    First page:1
     
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