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, “Analytic structure of the $3\to 3$ forward amplitude”, Theoret. and Math. Phys., 35:1 (1978), 277–284
2.
V. P. Pavlov, “The Dirac bracket”, Theoret. and Math. Phys., 92:3 (1992), 1020–1023
3.
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
4.
V. P. Pavlov, V. M. Sergeev, “Thermodynamics from the differential geometry standpoint”, Theoret. and Math. Phys., 157:1 (2008), 1484–1490
5.
V. P. Pavlov, A. O. Starinetz, “Phase space geometry of constrainted systems”, Theoret. and Math. Phys., 105:3 (1995), 1539–1545
6.
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
7.
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
8.
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
9.
V. P. Pavlov, “Theory of generalized retarded operators”, Theoret. and Math. Phys., 37:2 (1978), 937–949
10.
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
11.
V. P. Pavlov, G. A. Tavluev, “Interaction Hamiltonian in quantum field theory”, Theoret. and Math. Phys., 9:1 (1971), 993–996
12.
V. P. Pavlov, V. M. Sergeev, “Fluid dynamics and thermodynamics as a unified field theory”, Proc. Steklov Inst. Math., 294 (2016), 222–232
13.
V. P. Pavlov, V. M. Sergeev, “Dynamical principle”, Theoret. and Math. Phys., 153:1 (2007), 1364–1372
14.
V. P. Pavlov, “Reduction to the Surface of Second-Class Constraints”, Theoret. and Math. Phys., 132:3 (2002), 1233–1241
15.
V. P. Pavlov, “Invariant Description of Local Symmetries”, Proc. Steklov Inst. Math., 228 (2000), 135–144
16.
V. P. Pavlov, “Canonical transformations for constrainted systems”, Theoret. and Math. Phys., 104:2 (1995), 1008–1012
17.
B. V. Medvedev, V. P. Pavlov, A. D. Sukhanov, “Lagrangian and $S$ matrix”, Theoret. and Math. Phys., 8:2 (1971), 737–742
18.
V. P. Pavlov, Negolonomnaya mekhanika Diraka i differentsialnaya geometriya, Lekts. kursy NOTs, 22, MIAN, M., 2014 , 56 pp.
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
20.
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
21.
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
22.
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
23.
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, 130–135 http://www.spsl.nsc.ru/FullText/konfe/MEKhANIKA.pdf
24.
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
25.
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
26.
V. P. Pavlov, Ocherk teoreticheskoi fiziki dlya geofizikov, IMGiG DVO RAN, IMGiG DVO RAN, Yuzhno-Sakhalinsk, 2013 , 92 pp.
27.
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
28.
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
29.
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
30.
B. V. Levin, M. A. Nosov, V. P. Pavlov L. N. Rykunov, “Okhlazhdenie poverkhnosti okeana, vyzyvaemoe podvodnym zemletryaseniem”, DAN, 358:3 (1998), 399–402
31.
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.
32.
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
33.
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
34.
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
35.
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
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.
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
38.
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
39.
V. P. Pavlov, A. D. Sukhanov, “Dinamicheskii apparat dispersionnogo podkhoda dlya kvantovoi elektrodinamiki”, Yadernaya fizika, 7 (1968), 1295–1305
40.
B. V. Medvedev, V. P. Pavlov, D. V. Shirkov, “Teoriya kvantovannykh polei”, Razvitie fiziki v SSSR za 50 let, Nauka, Moskva, 1967, 17
41.
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
42.
O. I. Zav'yalov, V. P. Pavlov, “Spectral representations for the five-point function in perturbation theory”, Soviet Physics JETP, 17 (1963), 1009–1014
43.
V. P. Pavlov, Ob analiticheskikh svoistvakh amplitud neuprugikh protsessov, kandidatskaya dissertatsiya, 1963 , 85 pp.
44.
O. I. Zavyalov, V. P. Pavlov, “Matrichnyi element reaktsii pi N - pi pi N pri nizkikh energiyakh”, DAN SSSR, 139 (1961), 79–81
45.
A. V. Astakhov, V. P. Pavlov, I. P. Pavlotskii, “Spektralnye predstavleniya mnogochastichnykh funktsii Grina v odnomernom sluchae”, Nauchnye doklady vysshei shkoly, 1960, 3–6
46.
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
47.
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
48.
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
49.
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
50.
V. V. Kozlov, V. P. Pavlov, A. G. Sergeev, “Vladimir Andreevich Steklov (1863–1926)”, Proc. Steklov Inst. Math., 289 (2015), 1–9
51.
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.
52.
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
53.
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
54.
V. P. Pavlov, A. D. Sukhanov, UFN, 105:1 (1971), 168–172
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