D. A. Slavnov, “On a variant of $S$-matrix theory”, TMF, 1:2 (1969), 200–212; Theoret. and Math. Phys., 1:2 (1969), 153

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Teoreticheskaya i Matematicheskaya Fizika, 1969, Volume 1, Number 2, Pages 200–212 (Mi tmf4561)

This article is cited in 8 scientific papers (total in 8 papers)

On a variant of

$S$ -matrix theory

D. A. Slavnov

Full-text PDF (1240 kB) Citations (8)

References:

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Abstract: The present article contains a mathematical formulation of the conditions that have to be imposed on the

$S$ -matrix in the Bogolyubov approach to quantum field theory. Local eommutativity of the interpolating fields, primitive causality, and the stability of vacuum and the space of single-frequency states have been obtained as a consequence of these requirements.

Received: 14.05.1969

English version:
Theoretical and Mathematical Physics, 1969, Volume 1, Issue 2, Pages 153–163
DOI: https://doi.org/10.1007/BF01028041

Bibliographic databases:

Language: Russian

Citation: D. A. Slavnov, “On a variant of

$S$ -matrix theory”, TMF, 1:2 (1969), 200–212; Theoret. and Math. Phys., 1:2 (1969), 153–163

Citation in format AMSBIB

\Bibitem{Sla69}

\by D.~A.~Slavnov

\paper On a~variant of $S$-matrix theory

\jour TMF

\yr 1969

\vol 1

\issue 2

\pages 200--212

\mathnet{http://mi.mathnet.ru/tmf4561}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=459411}

\transl

\jour Theoret. and Math. Phys.

\yr 1969

\vol 1

\issue 2

\pages 153--163

\crossref{https://doi.org/10.1007/BF01028041}

Linking options:

https://www.mathnet.ru/eng/tmf4561

https://www.mathnet.ru/eng/tmf/v1/i2/p200

This publication is cited in the following 8 articles:

O. I. Zavialov, A. M. Malokostov, “Quantum field theory with non-Fock asymptotic fields: the existence of the $S$ -matrix”, Theoret. and Math. Phys., 121:1 (1999), 1281–1293
A. I. Kirillov, “Infinite-dimensional analysis and quantum theory as semimartingale calculus”, Russian Math. Surveys, 49:3 (1994), 43–95
G. N. Rybkin, Yu. S. Vernov, “Representations of commutation relations in BRST quantization”, Journal of Mathematical Physics, 35:6 (1994), 2828
E. I. Zelenov, “Representations of commutations relations for p-adic systems of infinitely many degrees of freedom”, Journal of Mathematical Physics, 33:1 (1992), 178
Piotr Garbaczewski, “On quantum solitons and their classical relatives: II. "Fermion–boson reciprocity" and classical vs quantum problem for the sine-Gordon system”, Journal of Mathematical Physics, 22:6 (1981), 1272
V. N. Sushko, “Fermionization of the $(\sin\varphi)_2$ interaction in a box”, Theoret. and Math. Phys., 37:2 (1978), 949–969
Piotr Garbaczewski, Ziemowit Popowicz, “Representations of the CAR generated by the representations of the CCR III. non-Fock extension”, Reports on Mathematical Physics, 11:1 (1977), 73
D. A. Slavnov, “Asymptotic states in the quantum field theory”, Theoret. and Math. Phys., 1:3 (1969), 251–256

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

Statistics & downloads:
Abstract page:	455
Full-text PDF :	176
References:	80
First page:	1

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