V. N. Likhachev, Yu. S. Tyupkin, and A. S. Shvarts :
“Adiabaticheskaq teorema v kvantovoy teorii polq ”
[Adiabatic theorem in quantum field theory ],
Teor. Mat. Fiz.
10 : 1
(1972 ),
pp. 63–84 .
An English translation was published in Theoret. and Math. Phys. 10 :1 (1972) .
MR
475468
article
Abstract
People
BibTeX
The paper indicates the definition of a renormalized \( S \) matrix in quantum field theory, based on the passage to the limit from an adiabatic \( S \) matrix in a finite volume, and shows that under certain conditions it is equivalent to the usual definition.
@article {key475468m,
AUTHOR = {Likhachev, V. N. and Tyupkin, Yu. S.
and Shvarts, A. S.},
TITLE = {Adiabaticheskaq teorema v kvantovoy
teorii polq [Adiabatic theorem in quantum
field theory]},
JOURNAL = {Teor. Mat. Fiz.},
FJOURNAL = {Teoreticheskaya i Matematicheskaya Fizika.
Akademiya Nauk SSSR},
VOLUME = {10},
NUMBER = {1},
YEAR = {1972},
PAGES = {63--84},
URL = {http://mi.mathnet.ru/tmf2641},
NOTE = {An English translation was published
in \textit{Theoret. and Math. Phys.}
\textbf{10}:1 (1972). MR:475468.},
ISSN = {0564-6162},
}
J. S. Tjupkin, V. A. Fateev, and A. S. Švarc :
“O klassicheskom predele matricj rasseqniq v kvantovoy teorii polq ”
[The classical limit of the scattering matrix in quantum field theory ],
Dokl. Akad. Nauk SSSR
221 : 1
(1975 ),
pp. 70–73 .
MR
378641
article
Abstract
People
BibTeX
The present paper investigates the relationships between the particle-like solutions of classical nonlinear translationally invariant equations and the particles in quantum field theory. Scattering in the quantum and classical cases is also compared. The relationships are traced, in particular, for an exactly solvable model, a nonlinear, one-dimensional Schrödinger equation.
@article {key378641m,
AUTHOR = {Tjupkin, Ju. S. and Fateev, V. A. and
\v{S}varc, A. S.},
TITLE = {O klassicheskom predele matricj rasseqniq
v kvantovoy teorii polq [The classical
limit of the scattering matrix in quantum
field theory]},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {221},
NUMBER = {1},
YEAR = {1975},
PAGES = {70--73},
DOI = {http://mi.mathnet.ru/dan38890},
NOTE = {MR:378641.},
ISSN = {0002-3264},
}
Yu. S. Tyupkin, V. A. Fateev, and A. S. Shvarts :
“Connection between particle-like solutions of classical equations and quantum particles ,”
Soviet J. Nuclear Phys.
22 : 3
(1975 ),
pp. 321–325 .
English translation of Russian original published in Jadernaja Fiz. 22 :3 (1975) .
MR
406170
article
People
BibTeX
@article {key406170m,
AUTHOR = {Tyupkin, Yu. S. and Fateev, V. A. and
Shvarts, A. S.},
TITLE = {Connection between particle-like solutions
of classical equations and quantum particles},
JOURNAL = {Soviet J. Nuclear Phys.},
FJOURNAL = {Soviet Journal of Nuclear Physics},
VOLUME = {22},
NUMBER = {3},
YEAR = {1975},
PAGES = {321--325},
NOTE = {English translation of Russian original
published in \textit{Jadernaja Fiz.}
\textbf{22}:3 (1975). MR:406170.},
ISSN = {0038-5506},
}
A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Yu. S. Tyupkin :
“Pseudoparticle solutions of the Yang–Mills equations ,”
Phys. Lett. B
59 : 1
(1975 ),
pp. 85–87 .
MR
434183
article
Abstract
People
BibTeX
@article {key434183m,
AUTHOR = {Belavin, A. A. and Polyakov, A. M. and
Schwartz, A. S. and Tyupkin, Yu. S.},
TITLE = {Pseudoparticle solutions of the {Y}ang--{M}ills
equations},
JOURNAL = {Phys. Lett. B},
FJOURNAL = {Physics Letters B},
VOLUME = {59},
NUMBER = {1},
YEAR = {1975},
PAGES = {85--87},
DOI = {10.1016/0370-2693(75)90163-X},
NOTE = {MR:434183.},
ISSN = {0370-2693},
}
A. Schwarz, V. Fateev, and Yu. Tyupkin :
Topologically non-trivial particles in quantum field theory .
Technical report 157 ,
Lebedev Institute ,
1975 .
In Russian.
techreport
People
BibTeX
@techreport {key33351224,
AUTHOR = {Schwarz, A. and V. Fateev and Yu. Tyupkin},
TITLE = {Topologically non-trivial particles
in quantum field theory},
TYPE = {technical report},
NUMBER = {157},
INSTITUTION = {Lebedev Institute},
YEAR = {1975},
NOTE = {In Russian.},
}
A. S. Schwarz, Yu. Tyupkin, and V. Fateev :
“On topologically non-trivial particles in quantum field theory ,”
Pisma Zh. Èksper. Teoret. Fiz.
22
(1975 ),
pp. 192–194 .
In Russian; translated into English in JETP Letters 22 :3 (1975), 88–89.
article
People
BibTeX
@article {key14138055,
AUTHOR = {Schwarz, A. S. and Yu. Tyupkin and V.
Fateev},
TITLE = {On topologically non-trivial particles
in quantum field theory},
JOURNAL = {Pisma Zh. \`Eksper. Teoret. Fiz.},
VOLUME = {22},
YEAR = {1975},
PAGES = {192--194},
URL = {http://jetpletters.ru/ps/1522/article_23294.pdf},
NOTE = {In Russian; translated into English
in \textit{JETP Letters} \textbf{22}:3
(1975), 88--89.},
}
A. S. Schwarz, Yu. Tyupkin, and V. Fateev :
“On the existence of heavy particles in gauge fields theories ,”
Pisma Zh. Èksper. Teoret. Fiz.
21
(1975 ),
pp. 91–93 .
In Russian.
article
People
BibTeX
@article {key54429510,
AUTHOR = {Schwarz, A. S. and Yu. Tyupkin and V.
Fateev},
TITLE = {On the existence of heavy particles
in gauge fields theories},
JOURNAL = {Pisma Zh. \`Eksper. Teoret. Fiz.},
VOLUME = {21},
YEAR = {1975},
PAGES = {91--93},
NOTE = {In Russian.},
}
J. S. Tjupkin, V. A. Fateev, and A. S. Švarc :
“CHasticepodobnje resheniq uravneniy kalibrovochnjx teoriy polq ”
[Particle-like solutions of the equations of gauge theories ],
Teor. Mat. Fiz.
26 : 3
(1976 ),
pp. 397–402 .
An English translation was published in Theoret. and Math. Phys. 26 :3 (1976) .
MR
449236
article
People
BibTeX
@article {key449236m,
AUTHOR = {Tjupkin, Ju. S. and Fateev, V. A. and
\v{S}varc, A. S.},
TITLE = {CHasticepodobnje resheniq uravneniy
kalibrovochnjx teoriy polq [Particle-like
solutions of the equations of gauge
theories]},
JOURNAL = {Teor. Mat. Fiz.},
FJOURNAL = {Teoreticheskaya i Matematicheskaya Fizika.
Akademiya Nauk SSSR},
VOLUME = {26},
NUMBER = {3},
YEAR = {1976},
PAGES = {397--402},
URL = {http://mi.mathnet.ru/tmf3239},
NOTE = {An English translation was published
in \textit{Theoret. and Math. Phys.}
\textbf{26}:3 (1976). MR:449236.},
ISSN = {0564-6162},
}
A. Schwarz, V. Fateev, and Yu. Tyupkin :
On the particle-like solutions in the presence of fermions .
Technical report 155 ,
Lebedev Institute ,
1976 .
In Russian.
techreport
People
BibTeX
@techreport {key86364857,
AUTHOR = {Schwarz, A. and V. Fateev and Yu. Tyupkin},
TITLE = {On the particle-like solutions in the
presence of fermions},
TYPE = {technical report},
NUMBER = {155},
INSTITUTION = {Lebedev Institute},
YEAR = {1976},
NOTE = {In Russian.},
}
V. A. Fateev, I. V. Frolov, A. S. Schwarz, and Yu. S. Tyupkin :
“Quantum fluctuations of instantons ,”
Sov. Sci. Rev., Sect. C
2
(1981 ),
pp. 1–51 .
MR
659266
Zbl
0535.58026
article
People
BibTeX
@article {key659266m,
AUTHOR = {Fateev, V. A. and Frolov, I. V. and
Schwarz, A. S. and Tyupkin, Yu. S.},
TITLE = {Quantum fluctuations of instantons},
JOURNAL = {Sov. Sci. Rev., Sect. C},
FJOURNAL = {Soviet Scientific Reviews. Section C:
Mathematical Physics Reviews},
VOLUME = {2},
YEAR = {1981},
PAGES = {1--51},
NOTE = {MR:659266. Zbl:0535.58026.},
ISSN = {0143-0416},
}
A. S. Schwarz and Yu. S. Tyupkin :
“Grand unification, strings, and mirror particles ,”
pp. 279–289
in
Group theoretical methods in physics
(Zvenigorod, USSR, 24–26 November 1982 ),
vol. 2 .
Edited by M. A. Markov, V. I. Man’ko, and A. E. Shabad .
Harwood Academic (Chur, Switzerland ),
1985 .
MR
989351
incollection
People
BibTeX
@incollection {key989351m,
AUTHOR = {Schwarz, A. S. and Tyupkin, Yu. S.},
TITLE = {Grand unification, strings, and mirror
particles},
BOOKTITLE = {Group theoretical methods in physics},
EDITOR = {Markov, M. A. and Man\cprime ko, V.
I. and Shabad, A. E.},
VOLUME = {2},
PUBLISHER = {Harwood Academic},
ADDRESS = {Chur, Switzerland},
YEAR = {1985},
PAGES = {279--289},
NOTE = {(Zvenigorod, USSR, 24--26 November 1982).
MR:989351.},
ISBN = {9783718602469},
}
A. S. Schwarz and Yu. S. Tyupkin :
“Measurement theory and the Schrödinger equation ,”
pp. 667–675
in
Quantum field theory and quantum statistics: Essays in honour of the sixtieth birthday of E. S. Fradkin ,
vol. 1 .
Edited by I. A. Batalin, C. J. Isham, and G. A. Vilkovisky .
Hilger (Bristol, UK ),
1987 .
MR
943165
incollection
People
BibTeX
@incollection {key943165m,
AUTHOR = {Schwarz, A. S. and Tyupkin, Yu. S.},
TITLE = {Measurement theory and the {S}chr\"odinger
equation},
BOOKTITLE = {Quantum field theory and quantum statistics:
{E}ssays in honour of the sixtieth birthday
of {E}.~{S}. {F}radkin},
EDITOR = {Batalin, I. A. and Isham, C. J. and
Vilkovisky, G. A.},
VOLUME = {1},
PUBLISHER = {Hilger},
ADDRESS = {Bristol, UK},
YEAR = {1987},
PAGES = {667--675},
NOTE = {MR:943165.},
ISBN = {9780852745748},
}