Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 147-190
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I. M. Khamitov. A constructive approach to the quantum $(ch\varphi)_2$-model. I. The Gelfand–Levitan–Marcfaenko equations.method. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 147-190. http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/
@article{ZNSL_1985_146_a9,
author = {I. M. Khamitov},
title = {A constructive approach to the quantum $(ch\varphi)_2$-model. {I.} {The} {Gelfand{\textendash}Levitan{\textendash}Marcfaenko} equations.method},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {147--190},
year = {1985},
volume = {146},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/}
}
TY - JOUR
AU - I. M. Khamitov
TI - A constructive approach to the quantum $(ch\varphi)_2$-model. I. The Gelfand–Levitan–Marcfaenko equations.method
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 147
EP - 190
VL - 146
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/
LA - ru
ID - ZNSL_1985_146_a9
ER -
%0 Journal Article
%A I. M. Khamitov
%T A constructive approach to the quantum $(ch\varphi)_2$-model. I. The Gelfand–Levitan–Marcfaenko equations.method
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 147-190
%V 146
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a9/
%G ru
%F ZNSL_1985_146_a9
Starting-from the quantum Gelfand–Levitan equations the quantum fields $\varphi_1$, and $\varphi_2$ are constructed which are the quantum analogs of $ch\varphi(x)$ and $sh\varphi(x)$ in the classical Sh-Gordon model. Wightman axioms including locality $PT$-invariance and asymptotic are completeness verified, and the scattering operator is calculated explicitly. In the developed approach no cut-offs are used and so renormalization effects do not appear. Bibl. – 15.
