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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 2, Pages 229–247
DOI: https://doi.org/10.4213/tmf696 (Mi tmf696) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A relativistic particle in the Liouville field

G. P. Jorjadzea, W. Piechockib

a A. Razmadze Mathematical Institute, Georgian Academy of Sciences
b Soltan Institute for Nuclear Studies
Full-text PDF (273 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf696
Abstract: We investigate a model for a relativistic particle in the Liouville field. The model is $SL(2,R)/Z_2$ invariant. The corresponding dynamic integrals describe the whole set of classical trajectories. These integrals are used for the gauge-invariant Hamiltonian reduction. We propose a new scheme for quantizing the reduced system. The quantum system obtained reproduces the classical symmetry. We discuss the physical aspects of the model.
Received: 29.04.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 2, Pages 183–196
DOI: https://doi.org/10.1007/BF02557311
Bibliographic databases:
Language: Russian
Citation: G. P. Jorjadze, W. Piechocki, “A relativistic particle in the Liouville field”, TMF, 118:2 (1999), 229–247; Theoret. and Math. Phys., 118:2 (1999), 183–196
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 2
\pages 183--196
\crossref{https://doi.org/10.1007/BF02557311}
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  • https://www.mathnet.ru/eng/tmf/v118/i2/p229
    • This publication is cited in the following 6 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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    References:108
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