Gratuated from Physical Faculty of M. V. Lomonosov Moscow State University (MSU) in 1973 (department of quantum statistics). Ph.D. thesis was defended in 1979. D.Sci. thesis was defended in 1991. A list of my works contains more than 70 titles.
Main publications:
Sankovich D. P. Weyl Formalism and Quantum Stochastical Processes // Physica A, 1986, 139 A, 437–454.
Bogolubov, Jr. N.N., Sankovich D. P. Gaussian Domination: Quantum Non-Linear Oscillator // Physics Letters A, 1989, 137 (4&5), 179–182.
D. P. Sankovich, “Local Gaussian Domination: Non-Ideal Bose gas.”, XXII Congreso de Matematicas Copricornio COMCA 2013 (31.07.-03.08. 2013, La Serena, Chile), Universidad de La Serena, La Serena, Chile, 2013, 1
N. N. Bogolubov (Jr.), D. P. Sankovich, “An approximating Hamiltonian method in the theory of imperfect Bose gas”, Phys. Properties of Nanosystems, NATO Science for Peace and Security. Series B. Physics and Biophysics, IX, 1st ed., Springer, 2011, 203–214
11.
D. P. Sankovich, “Gibbs equilibrium averages and Bogolyubov measure”, 3rd Int. Conf. on Quantum Electrodynamics and Statistical Physics (Kharkov, 29 August–02 September 2011), Book of Abstracts, NSC KIPT, Kharkov, 2011, 168
12.
N. N. Bogolubov (Jr.), D. P. Sankovich, “Advanced Bogolyubov model of imperfect Bose gas and superfluidity”, 3rd Int. Conf. on Quantum Electrodynamics and Statistical Physics (Kharkov, 29 August–02 September 2011), Book of Abstracts, NSC KIPT, Kharkov, 2011, 152
2010
13.
N. N. Bogolyubov (Jr.), D. P. Sankovich, “Bogolyubov’s approximation for bosons”, Ukr. J. Phys., 55:1 (2010), 104–108
14.
D. P. Sankovich, “Bogolyubov's theory of superfluidity, revisited”, Internat. J. Modern Phys. B, 24:27 (2010), 5327–5336
N. N. Bogolubov (Jr.), D. P. Sankovich, “Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity”, Cond. Matter Phys., 13:2 (2010), 23002 , 6 pp.
M. Corgini, D. P. Sankovich, “Soluble model of Bose-atoms with two level internal structure: non-conventional Bose–Einstein condensation”, Cond. Matter Phys., 13:4 (2010), 43003 , 11 pp.
2009
18.
D. P. Sankovich, “Funktsionalnyi integral Bogolyubova”, N. N. Bogolyubov, Sobranie nauchnykh trudov v 12 tt., v. 12, Nauka, M., 2009, 560–580
19.
M. Corgini, D. P. Sankovich, “Bogolyubov approximation for some models of an interacting Bose gas”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics”, Book of Abstracts, JINR, Dubna, 2009, 249–250
20.
D. P. Sankovich, “Bogolyubov's theory of superfluidity”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics”, Book of Abstracts, JINR, Dubna, 2009, 251–252
2008
21.
D. P. Sankovich, “Approximating hamiltonian method: The mean field bose model”, XXII Jornadas de Matemática de al Zona Sur (Universidad Austral De Chile, Valdivia, Chile), eds. M. Corgini, D. P. Sankovich, 2008
22.
M. Corgini, C. Rojas-Molina, D. P. Sankovich, “Coexistence of non-conventional condensates in two-level Bose atom system”, Int. J. Mod. Phys. B, 16:27 (2008), 4799–4815
2007
23.
M. Corgini, D. P. Sankovich, “Bogolyubov approximation for diagonal model of an interacting Bose gas”, Phys. Lett. A, 360:3 (2007), 419–422
2005
24.
D. P. Sankovich, “The Bogolyubov Functional Integral”, Proc. Steklov Inst. Math., 251 (2005), 213–245
2004
25.
D. P. Sankovich, “On the Bose condensation in some model of a nonideal Bose gas”, J. Math. Phys., 45:11 (2004), 4288–4300
A. Bernal, M. Corgini, D. P. Sankovich, “Nonideal Bose Gases: Correlation Inequalities and Bose Condensation”, Theoret. and Math. Phys., 139:3 (2004), 866–877
2003
27.
M. Corgini, D. P. Sankovich, “Two-Sided Estimates for the Internal Energy of Thermal Photons”, Theoret. and Math. Phys., 136:1 (2003), 1031–1036
2002
28.
M. Corgini, D. P. Sankovich, “Study of a non-interacting boson gas”, Internat. J. Modern Phys. B, 16:3 (2002), 497–509
M. Corgini, D. P. Sankovich, “Local Gaussian Dominance: An Anharmonic Excitation of Free Bosons”, Theoret. and Math. Phys., 132:1 (2002), 1019–1028
2001
30.
D. P. Sankovich, “Metric Properties of Bogoliubov Trajectories in Statistical Equilibrium Theory”, Theoret. and Math. Phys., 127:1 (2001), 513–527
31.
D. P. Sankovich, “Some Properties of Functional Integrals with Respect to the Bogoliubov Measure”, Theoret. and Math. Phys., 126:1 (2001), 121–135
32.
M. Corgini, D. P. Sankovich, Study of an uncoupled many particle Bose systems, Preprint ULS-MA0201, Universidad de La Serena, La Serena, Chile, 2001 , 14 pp.
33.
M. Corgini, D. P. Sankovich, Gaussian domination: uncoupled perturbations of the free boson gas, Preprint ULS-MA0401, Universidad de La Serena, La Serena, Chile, 2001 , 13 pp.
2000
34.
M. Corgini, D. P. Sankovich, “Upper bounds for correlation functions: Bose systems”, Instabilities and nonequilibrium structures, VI (Valparaíso, 1995), Nonlinear Phenom. Complex Systems, 5, Kluwer Acad. Publ., Dordrecht, 2000, 379–386
35.
D. P. Sankovich, “Rigorous results in a nonideal Bose gas theory”, Fizika elementarnykh chastits i atomnogo yadra, 31:7B (2000), 122–128
1999
36.
M. Corgini, D. P. Sankovich, N. I. Tanaka, “On a nonideal Bose gas model”, Theoret. and Math. Phys., 120:1 (1999), 921–932
37.
D. P. Sankovich, “Gaussian functional integrals and Gibbs equilibrium averages”, Theoret. and Math. Phys., 119:2 (1999), 670–675
38.
M. Corgini, D. P. Sankovich, Gaussian integrals and T-products in statistical mechanics, Preprint Pontifica Universidad Catolica de Chile, Informe tecnico, Universidad Catolica de Chile, Santiago, Chile, 1999 , 10 pp.
39.
M. Corgini, D. P. Sankovich, “Gaussian domination and Bose–Einstein condensation in the interacting boson gas”, Int. J. Mod. Phys. B, 13:27 (1999), 3235–3243
D. P. Sankovich, “$T$-product and Wiener measure”, Stochastic analysis and mathematical physics (Viña del Mar, 1996), World Sci. Publ., River Edge, NJ, 1998, 159–165
42.
M. Corgini, D. P. Sankovich, N. M. Tanaka, Generalized imperfect boson gas, Gaussian domination, large deviations and Bose condensation, Preprint ULS-MA0298, Universidad de La Serena, La Serena, Chile, 1998 , 25 pp.
1997
43.
M. Corgini, D. P. Sankovich, “Rigorous estimates for correlation functions and existence of phase transitions in some models of interacting bosons”, Int. J. Mod. Phys. B, 11:28 (1997), 3329–3341
D. P. Sankovich, M. Corgini, “The infrared bounds method in the study of boson systems”, Theoret. and Math. Phys., 108:3 (1996), 1184–1194
45.
M. Corgini, D. P. Sankovich, Study of interacting boson gases, Preprint USACH-MA9601, USACH, Santiago, Chile, 1996 , 23 pp.
1994
46.
N. N. Bogolyubov (Jr.), D. P. Sankovich, “N. N. Bogolyubov and statistical mechanics”, Russian Math. Surveys, 49:5 (1994), 19–49
1993
47.
M. Corgini, D. P. Sankovich, The infrared bounds method in the study of quantum lattice systems: phase transitions, Preprint Depart. of Mathem., Universidad de La Serena, Universidad de La Serena, La Serena, Chile, 1993 , 5 pp.
1992
48.
N. N. Bogolubov, Jr., M. Corgini, D. P. Sankovich, “Model of the lattice boson gas: $\rho$-condensation”, Modern Phys. Lett. B, 6:4 (1992), 215–220
N. N. Bogolubov, Jr., D. P. Sankovich, “Upper bound on the two-point correlation function of a system of coupled anharmonic oscillators”, Modern Phys. Lett. B, 5:1 (1991), 51–56
N. N. Bogolyubov (ml.), D. P. Cankovich, “Dalnii poryadok v neidealnom boze-gaze”, Vsesoyuznaya konferentsiya «Sovremennye problemy statisticheskoi fiziki» (Kharkov, 1991), KhFTI, 1991, 1
51.
D. P. Sankovich, Metody Bogolyubova v problemakh fazovykh perekhodov i kineticheskikh yavlenii, Avtoreferat diss. … dokt. fiz.-matem. nauk, MIAN, M., 1991
52.
D. P. Sankovich, Metody Bogolyubova v problemakh fazovykh perekhodov i kineticheskikh yavlenii, Diss. … dokt. fiz.-matem. nauk, MIAN, M., 1991 , 224 pp.
1990
53.
N. N. Bogolyubov, Jr., A. M. Kurbatov, D. P. Sankovich, “Toward a theory of Bose-Einstein condensation”, Selected topics in statistical mechanics (Dubna, 1989), World Sci. Publ., Teaneck, NJ, 1990, 36–41
1989
54.
D. P. Sankovich, “On condensation in nonideal Bose gas”, Modern Phys. Lett. B, 3:6 (1989), 471–478
55.
N. N. Bogolyubov, Jr., D. P. Sankovich, “Gaussian domination: quantum nonlinear oscillator”, Phys. Lett. A, 137:4-5 (1989), 179–182
D. P. Sankovich, “Infrared bounds in the theory of phase transition”, Proc. Steklov Inst. Math., 191 (1992), 121–130
57.
N. N. Bogolyubov (Jr.), A. N. Kireev, A. M. Kurbatov, D. P. Sankovich, “Some problems in polaron theory”, Proc. Steklov Inst. Math., 191 (1992), 15–33
1989
58.
D. P. Sankovich, “Gaussian dominance and phase transitions in systems with continuous symmetry”, Theoret. and Math. Phys., 79:3 (1989), 656–665
59.
N. . Bogolubov, Jr., A. M. Kurbatov, D. P. Sankovich, Generalized Bogolubov theorem on singularities of type 1/q2 and existence of condensation in some models of interacting Bosons, Comm. JINR, D17-89-535, JINR, Dubna, 1989 , 1 pp.
60.
D. P. Sankovich, “Statisticheskaya mekhanika teoretiko-polevykh sistem”, Trudy Vsesoyuznoi konferentsii «Sovremennye problemy statisticheskoi fiziki», Naukova dumka, Kiev, 1989, 224–230
1988
61.
D. P. Cankovich, “Kvantovaya dinamika i kinetika mnogochastichnykh sistem”, Fizika mnogochastichnykh sistem, 14, Naukova dumka, Kiev, 1988, 70–74
62.
D. P. Cankovich, “The method of formal diagonalization for the generalized Liouville equation”, IV International Symposium on Selected Topics in Statistical Mechanics (Dubna, 1987), OIYaI, Dubna, 1988, 339–343
63.
D. P. Sankovich, “Kinetic and hydrodynamic equations in the nonlinear Schrödinger model”, Soviet Phys. Dokl., 33:1 (1988), 34–36
64.
D. P. Cankovich, Infrakrasnye otsenki i fazovyi perekhod v modeli neidealnogo boze-gaza, Soobscheniya OIYaI, R17-88-348, OIYaI, Dubna, 1988 , 21 pp.
65.
D. P. Cankovich, O nekotorykh stokhasticheskikh svoistvakh beskonechnomernykh gamiltonovykh sistem klassicheskoi mekhaniki, Soobscheniya OIYaI, D17-88-349, OIYaI, Dubna, 1988 , 10 pp.
66.
D. P. Sankovich, “Thermodynamics of the Ginzburg–Landau type models”, Proc. III International Work-shop on the Nonlinear and Turb. Processes in Physics, Naukova Dumka, 1988, 98–102
67.
D. P. Sankovich, “O metodakh nelineinoi mekhaniki”, Nauka i chelovechestvo, Znanie, M., 1988, 296
1987
68.
D. P. Sankovich, “Statisticheskaya mekhanika teoretiko-polevykh sistem”, Sovremennye problemy statisticheskoi fiziki (Kiev), ITF, 1987, 77–78
69.
N. N. Bogolyubov(ml.), D. P. Cankovich, “Stokhasticheskie protsessy v beskonechnomernykh gamiltonovykh sistemakh klassicheskoi mekhaniki”, Soobscheniya OIYaI, D17-87-477 (Dubna, 1987), OIYaI, 1987, 65
70.
D. P. Cankovich, “O diagonalizatsii obobschennogo uravneniya Liuvillya”, Soobscheniya OIYaI, D17-87-477 (Dubna, 1987), OIYaI, 1987, 122
71.
D. P. Sankovich, “Equilibrium thermodynamics of simple hydrodynamic type system”, Mod. Phys. Lett. B, 1:5-6 (1987), 221–224
1986
72.
D. P. Sankovich, “Weyl formalism and quantum stochastic processes”, Phys. A, 139:2-3 (1986), 437–454
D. P. Sankovich, “Canonical transformations in problems of quantum statistical mechanics”, III international symposium on selected topics in statistical mechanics (Dubna, 1984), D17-84-850, Vol. II, Ob"ed. Inst. Yadernykh Issled., Dubna, 1985, 239–250
74.
D. P. Sankovich, “Bogolyubov kinetic equation for quantum dynamical systems”, Soviet Phys. Dokl., 30:10 (1985), 846–848
75.
D. P. Sankovich, Quantum dynamics and kinetics of the many-particle systems, Preprint ITP AN Ukr.SSR, ITP AN Ukr.SSR, Kiev, 1985 , 2 pp.
1984
76.
D. P. Sankovich, Kanonicheskie preobrazovaniya v zadachakh kvantovoi statisticheskoi mekhaniki, Soobscheniya OIYaI, D17-84-850, OIYaI, Dubna, 1984 , 12 pp.
77.
A. M. Kurbatov, D. P. Sankovich, Asimptoticheskie resheniya nelineinykh uravnenii, Nauka segodnya, 12, Znanie, M., 1984 , 7 pp.
78.
D. P. Sankovich, Metodicheskie ukazaniya po ispolzovaniyu klassa «Repetitor–ekzamenator» v uchebnom protsesse, Preprint MIIGA, MIIGA, M., 1984 , 20 pp.
79.
S. V. Kuznetsov, D. P. Sankovich, Metodicheskie ukazaniya po fizike dlya postupayuschikh v MIIGA, Preprint MIIGA, MIIGA, Moskva, 1984 , 41 pp.
1982
80.
A. M. Kurbatov, D. P. Sankovich, On the Generalized Fokker–Planc Equation., Preprint ICTP, Trieste, IC/82/107, ICTP, Trieste, 1982 , 18 pp.
1981
81.
N. N. Bogolyubov (ml.), A. M. Kurbatov, D. Ya. Petrina, D. P. Cankovich, “Predelnye teoremy v teorii statisticheskikh sistem s faktorizovannym vzaimodeistviem”, Trudy Mezhdunarodnoi konferentsii po obobschennym funktsiyam i ikh primeneniyu v matematicheskoi fizike (Moskva, MIAN), MIAN, 1981, 75–82
82.
V. G. Morozov, D. P. Sankovich, “Kineticheskoe uravnenie dlya kvantovoi dinamicheskoi sistemy, vzaimodeistvuyuschei s termostatom”, Soobscheniya OIYaI, D17-81-411, OIYaI, Dubna, 1981, 56
83.
V. G. Morozov, D. P. Sankovich, Kineticheskoe uravnenie dlya kvantovoi dinamicheskoi sistemy, vzaimodeistvuyuschei s termostatom, Soobscheniya OIYaI, D17-81-758, OIYaI, Dubna, 1981 , 11 pp.
1980
84.
A. M. Kurbatov, D. P. Sankovich, “Consistency equations in the approximating Hamiltonian method”, Theoret. and Math. Phys., 42:3 (1980), 258–266
85.
N. N. Bogolubov, Jr., A. M. Kurbatov, D. Ya. Petrina, D. P. Sankovich, “Thermodynamic Limit in Systems of Statistical Mechanics with Factorized Interaction”, Mathematical Physics Reviews, Soviet Scientific Review. Section C, Math. Phys. Rev., v. 1, eds. S. P. Novikov, Harwood Academic Publishers GmbH, 1980, 157–206
86.
A. M. Kurbatov, D. P. Sankovich, On the variational principle in quantum statistical mechanics, Preprint ICTP, Trieste, IC/80/7, ICTP, Trieste, 1980 , 24 pp.
87.
A. M. Kurbatov, D. P. Sankovich, On the variational principle in quantum statistical mechanics, Preprint ICTP, Trieste, IC/80/7, ICTP, Trieste, 1980 , 24 pp.
1979
88.
A. M. Kurbatov, D. P. Sankovich, Termodinamicheskii predel v modelnykh sistemakh s polozhitelnym chetyrekhbozonnym vzaimodeistviem, Preprint IF AN Az.SSR, № 3, IF AN Az.SSR, Baku, 1979 , 14 pp.
89.
D. P. Sankovich, Statisticheskaya teorema Vika i anomalnye srednie, Preprint IF AN Az.SSR, № 12(7), IF AN Az.SSR, Baku, 1979 , 9 pp.
90.
D. P. Sankovich, Termodinamicheski ekvivalentnaya approksimatsiya modelnykh gamiltonianov klasternogo tipa, Preprint IF AN Az.SSR, № 13(8), IF AN Az.SSR, Baku, 1979 , 12 pp.
91.
D. P. Sankovich, Termodinamicheski ekvivalentnaya approksimatsiya modelnykh gamiltonianov klasternogo tipa, Preprint IF AN Az.SSR, № 13(8), IF AN Az.SSR, Baku, 1979 , 12 pp.
92.
D. P. Sankovich, Asimptoticheski tochnye metody v zadachakh kvantovoi statisticheskoi mekhaniki, Avtoreferat diss. … kand. fiz.-matem. nauk, OIYaI, Dubna, 1979
93.
D. P. Sankovich, Asimptoticheski tochnye metody v zadachakh kvantovoi statisticheskoi mekhaniki, Avtoreferat diss. … kand. fiz.-matem. nauk, OIYaI, Dubna, 1979 , 128 pp.
1978
94.
A. M. Kurbatov, D. P. Sankovich, “A property of asymptotic commutativity in statistical mechanics”, Soviet Phys. Dokl., 23:9 (1978), 656–657
95.
A. M. Kurbatov, D. P. Sankovich, Asimptoticheskie svoistva korrelyatsionnykh funktsii v modelnykh sistemakh statisticheskoi mekhaniki, Soobscheniya OIYaI, D17-11490, OIYaI, Dubna, 1978 , 13 pp.
96.
A. M. Kurbatov, D. P. Sankovich, Klasterizatsiya gamiltoniana i teorema Bogolyubova (ml.)–Petriny, Soobscheniya OIYaI, D17-12130, OIYaI, Dubna, 1978 , 10 pp.
97.
A. M. Kurbatov, D. P. Sankovich, Printsip termodinamicheskoi ekvivalentnosti i uravneniya samosoglasovaniya, Soobscheniya OIYaI, D17-12131, OIYaI, Dubna, 1978 , 29 pp.
98.
A. M. Kurbatov, D. P. Sankovich, Uslovie asimptoticheskoi kommutativnosti v zadachakh statisticheskoi mekhaniki, Soobscheniya OIYaI, D17-12132, OIYaI, Dubna, 1978 , 11 pp.
1977
99.
A. M. Kurbatov, D. P. Sankovich, Modelnye sistemy statisticheskoi fiziki, dopuskayuschie ponizhenie stepeni gamiltoniana v termodinamicheskom predele, Soobscheniya OIYaI D17-10529, OIYaI, Dubna, 1977 , 2 pp.
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