S-matrix out of the energy surfase, generalyzed optical theorem, crossing property for any reactions, phase spase geometry for nonholonomic systems.
UDC:
530.1, 530.135.1
Subject:
Perturbation theory; Complex analysis in quantum field theory; differential geometric methods in nonholonomic mechanics; geodynamics
Main publications:
B. V. Medvedev, V. P. Pavlov, A. D. Sukhanov, "Lagranzhian i matritsa rasseyaniya", TMF, t. VIII, s. 57, 1971.
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, "Metod rasshirennoi S-matritsy v kvantovoi teorii polya", TMF, t. 13, s. 3, 1972.
A. A. Logunov, L. M. Muzafarov, B. V. Medvedev, V. P. Pavlov, A. D. Sukhanov, "Analiticheskaya struktura amplitudy protsessa 3 3 vpered", TMF, t. 40, s. 179, 1979.
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, "Amplituda v kvantovoi teorii polya", EChAYa, t. 20, s. 501, 1989.
V. P. Pavlov, "Skobka Diraka", TMF, t. 92, s. 451, 1992.
V. P. Pavlov, A. O. Starinets, "Geometriya fazovogo prostranstva dlya sistem so svyazyami", TMF, t. 105, s. 429, 1995.
V. P. Pavlov, "Invariantnoe opisanie lokalnykh simmetrii", Trudy MIAN, t. 228, s. 145, 2000.
B. V. Levin, V. P. Pavlov, "Vliyanie astronomicheskikh faktorov na napryazhennoe sostoyanie litosfery", Fizika Zemli, # 7, s. 71, 2003.
V. P. Pavlov, "Teoretiko-polevoi podkhod k dinamike sploshnoi sredy: teoriya vozmuschenii", TMF, t. 141, s. 113, 2004.
V. P. Pavlov, V. M. Sergeev, R. V. Shamin, “Increase in entropy and time irreversibility in Hamiltonian dynamics”, Theoret. and Math. Phys., 208:1 (2021), 926–936
2.
V. P. Pavlov, “On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group”, Theoret. and Math. Phys., 209:2 (2021), 1652–1656
2017
3.
V. P. Pavlov, The Moon turns out to be the perfect object to use thelinear elasticity theory, 2017 , Preprint submitted to Earth and Planetary Science Letters, arXiv: 1706.09296
2016
4.
V. P. Pavlov, V. M. Sergeev, “Fluid dynamics and thermodynamics as a unified field theory”, Proc. Steklov Inst. Math., 294 (2016), 222–232
5.
V. P. Pavlov, “Luna – idealnyi ob'ekt dlya primeneniya lineinoi teorii uprugosti”, Sbornik trudov IX Vserossiiskoi konferentsii “Mekhanika deformiruemogo tverdogo tela” (Voronezh, 12–15 sentyabrya 2016 g.), Izd-vo “Nauchno-issledovatelskie publikatsii”, Voronezh, 2016, 130–135http://www.spsl.nsc.ru/FullText/konfe/MEKhANIKA.pdf
2015
6.
V. P. Pavlov, “Perturbation Theory for the Stress Tensor in the Moon's Body with Tidal Effects Taken into Account”, Proc. Steklov Inst. Math., 289 (2015), 183–193
7.
V. V. Kozlov, V. P. Pavlov, A. G. Sergeev, “Vladimir Andreevich Steklov (1863–1926)”, Proc. Steklov Inst. Math., 289 (2015), 1–9
2014
8.
V. P. Pavlov, Negolonomnaya mekhanika Diraka i differentsialnaya geometriya, Lekts. kursy NOTs, 22, MIAN, M., 2014 , 56 pp.
V. P. Pavlov, “Differential-geometric aspects of a nonholonomic Dirac mechanics: Lessons of a model quadratic in velocities”, Theoret. and Math. Phys., 178:3 (2014), 347–358
2013
10.
V. P. Pavlov, Ocherk teoreticheskoi fiziki dlya geofizikov, IMGiG DVO RAN, IMGiG DVO RAN, Yuzhno-Sakhalinsk, 2013 , 92 pp.
2010
11.
B. V. Levin, V. P. Pavlov, “Prilivnye effekty i geodinamika”, Sbornik materialov IV Sakhalinskoi molodezhnoi nauchnoi shkoly, IMGiG DVO RAN, Yuzhno-Sakhalinsk, 2010, 7–11
12.
B. V. Levin, V. P. Pavlov, “Prilivnye effekty v vyazkoi srede: postanovka zadachi”, Sbornik materialov IV Sakhalinskoi molodezhnoi nauchnoi shkoly, IMGiG DVO RAN, Yuzhno-Sakhalinsk, 2010, 12–14
2009
13.
E. P. Zimin, S. V. Kislyakov, G. S. Monakhtina, V. P. Pavlov (author-status.), Members of the Russian Academy of Sciences of the Steklov Mathematical Institute. To the 75-year anniversary of MIAN, Biographical Dictionary Directory, under the general editorship of acad. V. V. Kozlov, Yanus-K, Moscow, 2009 , 400 pp.
2008
14.
V. P. Pavlov, V. M. Sergeev, “Thermodynamics from the differential geometry standpoint”, Theoret. and Math. Phys., 157:1 (2008), 1484–1490
2007
15.
V. P. Pavlov, V. M. Sergeev, “Dynamical principle”, Theoret. and Math. Phys., 153:1 (2007), 1364–1372
2005
16.
V. V. Kozlov, D. V. Treschev, N. N. Andreev, V. P. Pavlov, “Scientific and Educational Centre, Steklov Mathematical Institute”, Uspekhi Mat. Nauk, 60:5(365) (2005), 188–189
2004
17.
V. P. Pavlov, “Field Theory Approach to the Dynamics of a Continuous Medium: A Perturbation Theory”, Theoret. and Math. Phys., 141:1 (2004), 1427–1442
2002
18.
V. P. Pavlov, “Reduction to the Surface of Second-Class Constraints”, Theoret. and Math. Phys., 132:3 (2002), 1233–1241
19.
M. Yu. Zaichenko, B. V. Levin, V. P. Pavlov, V. G. Yakubenko, “Registratsiya effekta okhlazhdeniya deyatelnogo sloya Chernogo morya posle zemletryaseniya”, Izvestiya RAN. Fizika atmosfery i okeana, 38 (2002), 784–790
2001
20.
B. V. Levin, V. P. Pavlov, “Field Theory Method for Reconstructing the Stress Tensor in the Earth with a Movable Core”, Theoret. and Math. Phys., 128:3 (2001), 1207–1212
2000
21.
V. P. Pavlov, “Invariant Description of Local Symmetries”, Proc. Steklov Inst. Math., 228 (2000), 135–144
1998
22.
B. V. Levin, M. A. Nosov, V. P. Pavlov L. N. Rykunov, “Okhlazhdenie poverkhnosti okeana, vyzyvaemoe podvodnym zemletryaseniem”, DAN, 358:3 (1998), 399–402
1995
23.
V. P. Pavlov, A. O. Starinetz, “Phase space geometry of constrainted systems”, Theoret. and Math. Phys., 105:3 (1995), 1539–1545
24.
V. P. Pavlov, “Canonical transformations for constrainted systems”, Theoret. and Math. Phys., 104:2 (1995), 1008–1012
1993
25.
A. A. Logunov, A. A. Slavnov, O. I. Zavialov, O. A. Khrustalev, V. P. Mikhailov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavialov, A. G. Sergeev, V. P. Pavlov, I. Ya. Aref'eva, Yu. A. Tserkovnikov, “The 70th birthday of V. S. Vladimirov”, Theoret. and Math. Phys., 94:1 (1993), 1–2
1992
26.
V. P. Pavlov, “The Dirac bracket”, Theoret. and Math. Phys., 92:3 (1992), 1020–1023
27.
N. N. Bogolyubov, V. S. Vladimirov, A. A. Logunov, V. P. Maslov, E. F. Mishchenko, A. N. Tavkhelidze, L. D. Faddeev, A. A. Slavnov, D. V. Shirkov, V. G. Kadyshevskii, V. A. Matveev, V. A. Moskalenko, D. N. Zubarev, B. V. Medvedev, V. Ya. Fainberg, O. A. Khrustalev, I. Ya. Aref'eva, O. I. Zavialov, V. P. Pavlov, A. K. Pogrebkov, S. S. Horuzhy, “Mikhail Konstantinovich Polivanov (1930–1992)”, Theoret. and Math. Phys., 90:2 (1992), 107
28.
O. I. Zavialov, D. N. Zubarev, B. V. Medvedev, S. P. Novikov, V. P. Pavlov, A. K. Pogrebkov, A. A. Slavnov, A. D. Sukhanov, L. D. Faddeev, S. S. Horuzhy, D. V. Shirkov, “Mikhail Konstantinovich Polivanov (Obituary)”, Phys. Usp., 35:7 (1992), 623–625
1991
29.
B. V. Levin, V. P. Pavlov, E. R. Rudtskaya, “O mekhanizme mikronarushenii v peschanikakh posle vzryva”, Fiziko-tekhnicheskie problemy razrabotki poleznykh iskopaemykh, 1991, no. 5 , 6 pp.
1989
30.
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, “The amplitude of quantum field theory”, Soviet J. Particles and Nuclei, 20:3 (1989), 213–228
1987
31.
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, “Analytic properties of many-particle amplitudes in axiomatic quantum field theory”, Mathematical physics and complex analysis, Collection of survey papers 4. On the 50th anniversary of the Institute, Trudy Mat. Inst. Steklov., 176, 1987, 45–55
1986
32.
E. P. Garsevanishvili, B. V. Medvedev, V. P. Pavlov, “Interpretation of single-particle singularity in multiple scattering processes”, Theoret. and Math. Phys., 69:3 (1986), 1220–1226
1984
33.
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, “Analytic properties of multiparticle production amplitudes”, Theoret. and Math. Phys., 59:2 (1984), 427–440
1982
34.
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, “Analytic properties of many-particle amplitudes”, Theoret. and Math. Phys., 52:2 (1982), 723–732
1979
35.
A. A. Logunov, B. V. Medvedev, L. M. Muzafarov, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, “Analytic structure of the $3\to3$ forward amplitude”, Theoret. and Math. Phys., 40:2 (1979), 677–687
1978
36.
V. P. Pavlov, A. D. Polivanov, “Analytic structure of amplitude $3\rightarrow 3$”, Proceedings of the International Conference on Operator Algebras, Ideals, and their Applications in Theoretical Physics (Leipzig, 1977), Teubner, Leipzig, 1978, 164–176
37.
V. P. Pavlov, “Theory of generalized retarded operators”, Theoret. and Math. Phys., 37:2 (1978), 937–949
38.
L. M. Muzafarov, V. P. Pavlov, “Analyticity of the $3\to 3$ forward amplitude in the neighborhood of the physical region”, Theoret. and Math. Phys., 35:2 (1978), 376–383
39.
V. P. Pavlov, “Analytic structure of the $3\to 3$ forward amplitude”, Theoret. and Math. Phys., 35:1 (1978), 277–284
1977
40.
A. A. Logunov, B. V. Medvedev, M. A. Mestvirishvili, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, “Dispersion relation for $3\to 3$ forward amplitude and generalized optical theorem”, Theoret. and Math. Phys., 33:2 (1977), 936–952
1975
41.
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, “The method of the augmented $S$-matrix in quantum field theory”, International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part I. Axiomatic quantum field theory, Collection of talks (Moscow, 12–17 December, 1972), Trudy Mat. Inst. Steklov., 135, 1975, 186–197
1972
42.
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, “Method of extended $S$-matrix in quantum field theory”, Theoret. and Math. Phys., 13:1 (1972), 939–964
1971
43.
V. P. Pavlov, G. A. Tavluev, “Interaction Hamiltonian in quantum field theory”, Theoret. and Math. Phys., 9:1 (1971), 993–996
44.
B. V. Medvedev, V. P. Pavlov, A. D. Sukhanov, “Lagrangian and $S$ matrix”, Theoret. and Math. Phys., 8:2 (1971), 737–742
45.
V. P. Pavlov, A. D. Sukhanov, UFN, 105:1 (1971), 168–172
46.
V. P. Pavlov, S. V. Svechnikov, A. D. Sukhanov, “Scalar electrodynamics and the theory of a neutral vector field in the dispersion approach”, Theoret. and Math. Phys., 3:1 (1971), 341–351
1969
47.
B. V. Medvedev, V. P. Pavlov, A. D. Sukhanov, “Spectral representations in a renormalizable theory of a massive vector field”, Soviet Physics JETP, 30 (1969), 1083–1088
1968
48.
V. P. Pavlov, A. D. Sukhanov, “Dinamicheskii apparat dispersionnogo podkhoda dlya kvantovoi elektrodinamiki”, Yadernaya fizika, 7 (1968), 1295–1305
1967
49.
B. V. Medvedev, V. P. Pavlov, D. V. Shirkov, “Teoriya kvantovannykh polei”, Razvitie fiziki v SSSR za 50 let, Nauka, Moskva, 1967, 17
1964
50.
V. P. Pavlov, “Physical region of the five-point function in terms of five invariants”, Soviet Physics JETP, 18 (1964), 1105–1108; V. P. Pavlov, “Fizicheskaya oblast pyatikhvostki v terminakh pyati invariantov”, ZhETF, 45 (1963), 1606-1611
1963
51.
O. I. Zav'yalov, V. P. Pavlov, “Spectral representations for the five-point function in perturbation theory”, Soviet Physics JETP, 17 (1963), 1009–1014
52.
V. P. Pavlov, Ob analiticheskikh svoistvakh amplitud neuprugikh protsessov, kandidatskaya dissertatsiya, 1963 , 85 pp.
1961
53.
O. I. Zavyalov, V. P. Pavlov, “Matrichnyi element reaktsii pi N - pi pi N pri nizkikh energiyakh”, DAN SSSR, 139 (1961), 79–81
1960
54.
A. V. Astakhov, V. P. Pavlov, I. P. Pavlotskii, “Spektralnye predstavleniya mnogochastichnykh funktsii Grina v odnomernom sluchae”, Nauchnye doklady vysshei shkoly, 1960, 3–6
Лунотрясения и солнечные приливы V. P. Pavlov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS February 29, 2012 14:00
Dynamical principle (continuation) V. P. Pavlov, V. M. Sergeev Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS November 2, 2005
Books in Math-Net.Ru
V. P. Pavlov, Nonholonomic mechanics of Dirac and differential geometry, Lekts. Kursy NOC, 22, 2014, 56 с. http://mi.mathnet.ru/book1500
2021
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