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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 3, Pages 420–426
DOI: https://doi.org/10.4213/tmf204 (Mi tmf204) 		 
Commutation Relations in an Indefinite-Metric Space

Yu. S. Vernova, M. N. Mnatsakanovab

a Institute for Nuclear Research, Russian Academy of Sciences
b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/tmf204
Abstract: We describe the irreducible regular representations of the algebra of operators $a$ and $b$ defined by$[a,b]=1$ and $ba=a^+b^+$ in an arbitrary nondegenerate closed indefinite-metric space. We find the relation of this algebra to the generalized Heisenberg algebra.
Keywords: indefinite metric, Heisenberg algebra, regular representations.
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 3, Pages 802–807
DOI: https://doi.org/10.1023/A:1024026819798
Bibliographic databases:
Language: Russian
Citation: Yu. S. Vernov, M. N. Mnatsakanova, “Commutation Relations in an Indefinite-Metric Space”, TMF, 135:3 (2003), 420–426; Theoret. and Math. Phys., 135:3 (2003), 802–807
Citation in format AMSBIB
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