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, “Gaussian functional integrals and Gibbs equilibrium averages”, Theoret. and Math. Phys., 119:2 (1999), 670–675
2.
D. P. Sankovich, “Some Properties of Functional Integrals with Respect to the Bogoliubov Measure”, Theoret. and Math. Phys., 126:1 (2001), 121–135
3.
D. P. Sankovich, “Gaussian dominance and phase transitions in systems with continuous symmetry”, Theoret. and Math. Phys., 79:3 (1989), 656–665
4.
D. P. Sankovich, “The Bogolyubov Functional Integral”, Proc. Steklov Inst. Math., 251 (2005), 213–245
5.
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
A. Bernal, M. Corgini, D. P. Sankovich, “Nonideal Bose Gases: Correlation Inequalities and Bose Condensation”, Theoret. and Math. Phys., 139:3 (2004), 866–877
19.
M. Corgini, D. P. Sankovich, “Study of a non-interacting boson gas”, Internat. J. Modern Phys. B, 16:3 (2002), 497–509
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
D. P. Sankovich, “Rigorous Results of Phase Transition Theory in Lattice Boson Models”, Proc. Steklov Inst. Math., 290 (2015), 318–325
23.
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, “Gaussian domination and Bose–Einstein condensation in the interacting boson gas”, Int. J. Mod. Phys. B, 13:27 (1999), 3235–3243
D. P. Sankovich, “Bogolyubov Gaussian Measure in Quantum Statistical Mechanics”, Universal J. Phys. Appl., 13:2 (2019), 29–41;
28.
D. P. Sankovich, “Proof of Bose condensation for weakly interacting lattice bosons”, J. Phys. Commun., 2:10 (2018), 105015 , 6 pp., arXiv: 1806.01241
29.
M. Corgini, D. P. Sankovich, “Model of Interacting Spin One Bosons”, Universal Journal of Physics and Application, 2:1 (2014), 42–47
30.
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
34.
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
35.
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
36.
N. N. Bogolyubov (Jr.), D. P. Sankovich, “Bogolyubov’s approximation for bosons”, Ukr. J. Phys., 55:1 (2010), 104–108
37.
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.
38.
D. P. Sankovich, “Funktsionalnyi integral Bogolyubova”, N. N. Bogolyubov, Sobranie nauchnykh trudov v 12 tt., v. 12, Nauka, M., 2009, 560–580
39.
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
40.
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
41.
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
42.
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
43.
M. Corgini, D. P. Sankovich, “Bogolyubov approximation for diagonal model of an interacting Bose gas”, Phys. Lett. A, 360:3 (2007), 419–422
44.
M. Corgini, D. P. Sankovich, “Two-Sided Estimates for the Internal Energy of Thermal Photons”, Theoret. and Math. Phys., 136:1 (2003), 1031–1036
45.
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.
46.
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.
47.
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
48.
D. P. Sankovich, “Rigorous results in a nonideal Bose gas theory”, Fizika elementarnykh chastits i atomnogo yadra, 31:7B (2000), 122–128
49.
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.
50.
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
51.
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.
52.
M. Corgini, D. P. Sankovich, Study of interacting boson gases, Preprint USACH-MA9601, USACH, Santiago, Chile, 1996 , 23 pp.
53.
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.
54.
N. N. Bogolyubov (ml.), D. P. Cankovich, “Dalnii poryadok v neidealnom boze-gaze”, Vsesoyuznaya konferentsiya «Sovremennye problemy statisticheskoi fiziki» (Kharkov, 1991), KhFTI, 1991, 1
55.
D. P. Sankovich, Metody Bogolyubova v problemakh fazovykh perekhodov i kineticheskikh yavlenii, Avtoreferat diss. … dokt. fiz.-matem. nauk, MIAN, M., 1991
56.
D. P. Sankovich, Metody Bogolyubova v problemakh fazovykh perekhodov i kineticheskikh yavlenii, Diss. … dokt. fiz.-matem. nauk, MIAN, M., 1991 , 224 pp.
57.
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
58.
D. P. Sankovich, “On condensation in nonideal Bose gas”, Modern Phys. Lett. B, 3:6 (1989), 471–478
59.
D. P. Sankovich, “Infrared bounds in the theory of phase transition”, Proc. Steklov Inst. Math., 191 (1992), 121–130
60.
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
61.
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.
62.
D. P. Sankovich, “Statisticheskaya mekhanika teoretiko-polevykh sistem”, Trudy Vsesoyuznoi konferentsii «Sovremennye problemy statisticheskoi fiziki», Naukova dumka, Kiev, 1989, 224–230
63.
D. P. Cankovich, “Kvantovaya dinamika i kinetika mnogochastichnykh sistem”, Fizika mnogochastichnykh sistem, 14, Naukova dumka, Kiev, 1988, 70–74
64.
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
65.
D. P. Sankovich, “Kinetic and hydrodynamic equations in the nonlinear Schrödinger model”, Soviet Phys. Dokl., 33:1 (1988), 34–36
66.
D. P. Cankovich, Infrakrasnye otsenki i fazovyi perekhod v modeli neidealnogo boze-gaza, Soobscheniya OIYaI, R17-88-348, OIYaI, Dubna, 1988 , 21 pp.
67.
D. P. Cankovich, O nekotorykh stokhasticheskikh svoistvakh beskonechnomernykh gamiltonovykh sistem klassicheskoi mekhaniki, Soobscheniya OIYaI, D17-88-349, OIYaI, Dubna, 1988 , 10 pp.
68.
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
69.
D. P. Sankovich, “O metodakh nelineinoi mekhaniki”, Nauka i chelovechestvo, Znanie, M., 1988, 296
70.
D. P. Sankovich, “Statisticheskaya mekhanika teoretiko-polevykh sistem”, Sovremennye problemy statisticheskoi fiziki (Kiev), ITF, 1987, 77–78
71.
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
72.
D. P. Cankovich, “O diagonalizatsii obobschennogo uravneniya Liuvillya”, Soobscheniya OIYaI, D17-87-477 (Dubna, 1987), OIYaI, 1987, 122
73.
D. P. Sankovich, “Equilibrium thermodynamics of simple hydrodynamic type system”, Mod. Phys. Lett. B, 1:5-6 (1987), 221–224
74.
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
75.
D. P. Sankovich, “Bogolyubov kinetic equation for quantum dynamical systems”, Soviet Phys. Dokl., 30:10 (1985), 846–848
76.
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.
77.
D. P. Sankovich, Kanonicheskie preobrazovaniya v zadachakh kvantovoi statisticheskoi mekhaniki, Soobscheniya OIYaI, D17-84-850, OIYaI, Dubna, 1984 , 12 pp.
78.
A. M. Kurbatov, D. P. Sankovich, Asimptoticheskie resheniya nelineinykh uravnenii, Nauka segodnya, 12, Znanie, M., 1984 , 7 pp.
79.
D. P. Sankovich, Metodicheskie ukazaniya po ispolzovaniyu klassa «Repetitor–ekzamenator» v uchebnom protsesse, Preprint MIIGA, MIIGA, M., 1984 , 20 pp.
80.
S. V. Kuznetsov, D. P. Sankovich, Metodicheskie ukazaniya po fizike dlya postupayuschikh v MIIGA, Preprint MIIGA, MIIGA, Moskva, 1984 , 41 pp.
81.
A. M. Kurbatov, D. P. Sankovich, On the Generalized Fokker–Planc Equation., Preprint ICTP, Trieste, IC/82/107, ICTP, Trieste, 1982 , 18 pp.
82.
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
83.
V. G. Morozov, D. P. Sankovich, “Kineticheskoe uravnenie dlya kvantovoi dinamicheskoi sistemy, vzaimodeistvuyuschei s termostatom”, Soobscheniya OIYaI, D17-81-411, OIYaI, Dubna, 1981, 56
84.
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.
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.
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.
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.
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.
100.
A. K. Prykarpatsky, D. P. Sankovich, “Nikolai Nikolayevich Bogolubov (Jr.)”, Cond. Matter Phys., 13:4 (2010), 40101 , 4 pp.
101.
N. N. Bogolyubov, Jr., D. P. Sankovich, “Nikolaĭ Nikolaevich Bogolyubov. Survey of scientific work”, Phys. Particles Nuclei, 24:5 (1993), 517–544
102.
D. P. Sankovich, “Zolotaya medal imeni M. V. Lomonosova (Stokhasticheskie protsessy v dinamicheskikh sistemakh)”, Nauka i chelovechestvo, Mezhdunarodnyi ezhegodnik, Znanie, M., 1986, 293–296
103.
D. P. Sankovich, “Zolotaya medal imeni M. V. Lomonosova (ob akademike N. N. Bogolyubove)”, Nauka segodnya, 13, Znanie, M., 1985, 77–90