L. Accardi, I. V. Volovich, S. V. Kozyrev, “A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field”, TMF, 116:3 (1998), 401–416; Theoret. and Math. Phys., 116:3 (1998), 1050

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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 3, Pages 401–416
DOI: https://doi.org/10.4213/tmf912 (Mi tmf912)

This article is cited in 4 scientific papers (total in 4 papers)

A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field

L. Accardi^a, I. V. Volovich^b, S. V. Kozyrev^c

^a Università degli Studi di Roma — Tor Vergata
^b Steklov Mathematical Institute, Russian Academy of Sciences
^c N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences

Full-text PDF (271 kB) Citations (4)

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DOI: https://doi.org/10.4213/tmf912

Abstract: When the stochastic approximation is used to calculate correlation functions in the model of a particle interacting with a quantum field, a new algebra with temperature-dependent commutation relations appears. This algebra generalizes the free (Boltzmann) algebra.

Received: 17.02.1998
Revised: 28.05.1998

English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 3, Pages 1050–1062
DOI: https://doi.org/10.1007/BF02557146

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: L. Accardi, I. V. Volovich, S. V. Kozyrev, “A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field”, TMF, 116:3 (1998), 401–416; Theoret. and Math. Phys., 116:3 (1998), 1050–1062

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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Linking options:

https://www.mathnet.ru/eng/tmf912

https://doi.org/10.4213/tmf912

https://www.mathnet.ru/eng/tmf/v116/i3/p401

This publication is cited in the following 4 articles:

Kozyrev S.V., “Q-Deformation and Free Statistics For Interaction of a Field and a Particle”, Phys. Part. Nuclei, 51:4 (2020), 452–457
Accardi, L, “Superfluidity in the stochastic limit”, Discrete Dynamics in Nature and Society, 2004, no. 1, 3
S. V. Kozyrev, “Rigged Hilbert Space of Free Coherent States and $p$-Adic Numbers”, Theoret. and Math. Phys., 135:2 (2003), 642–650
Accardi, L, “Non-exponential decay for Polaron model”, Physics Letters A, 260:1–2 (1999), 31

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	548
Full-text PDF :	242
References:	94
First page:	3

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