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Curriculum Vitae Dmitry Maximovitch Gitman August 31, 2010

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Curriculum Vitae Dmitry Maximovitch Gitman August 31, 2010 Curriculum Vitae Dmitry Maximovitch Gitman August 31, 2010 Contents 1 Personal information 1 2 Education and academic titles 2 3 Academic Positions 2 4 Didactic Activities 3 5 Orientation of students and post-docs 3 6 Books published and in progress 5 7 Selected articles 6 8 Number of publications and international citations 10 9 Coordination of projects and research group 10 10 Summary of the main scientific results obtained 11 10.1 Quantum field theory with external backgrounds . ............... 11 10.2 General theory of constrained systems and their quantization ............... 15 10.3 Exact solutions of the relativistic wave equations and theory of self-adjoint extensions . 18 10.4 Path integrals; group theory in relativistic quantum mechanics and field theory; semi- classical methods and coherent states . ........... 22 10.5 Classical and pseudoclassical relativistic particle models and their quantization . 25 10.6 Theoryofhigherspins . ......... 27 10.7 Theory of two and four levels systems and applications to the quantum computation . 28 10.8 Quantum mechanics and field theory in non-commutative spaces ............. 29 10.9 QuantumStatistics. ......... 30 10.10Othersubjects ................................. 31 1 Personal information Born on July 2, 1944, Tashkent, Uzbekistan - USSR Brazilian Citizenship Languages: Russian, English, Portuguese and German Address: Instituto de Física da USP, Departamento de Física Nuclear, Instituto de Física, Universidade de São Paulo, C.P. 66318, CEP 05315-970, São Paulo, SP, Brasil Telephone: 55-11-3091-6948. E-mail: [email protected], [email protected] Homepage: http://www.dfn.if.usp.br/pesq/tqr/pt/gitman 1 2 Education and academic titles 1961-1966: Graduation and Master’s degree — Department of Physics of Tomsk State University • — Russia. Received a medal and the “red diploma”. Master’s Thesis: “Integral Equations for Distribution Functions in Statistical Mechanics”. 1966-1969: Doctorate, Tomsk State University — Russia. 1969: Ph.D. Title — Candidate of Physi- • cal and Mathematical Sciences, obtained with the thesis “Variational Principles in Quantum Statistics” — Tomsk State University, Russia. Diploma MFM No. 011435, State Higher Attesta- tion Commission, Moscow, January 16, 1970. Received official favorable opinions from Professors V.L. Pokrovsky - Landau Institute, Chernogolovka: M. Gaigasian — Tomsk State University and Prof. A.A. Sokolov, Moscow State University. This title was recognized by University of São Paulo in June 5, 1996 as equivalent to Doctor accordingly to document number 94.1.997.43.4. 1975: Received the academic degree of Docent of the Chair of Theoretical and Mathe- • matical Physics. Diploma MDC no. 096071, “Higher Attestation Commission”, Moscow, April 1, 1976. 1979: Received the title “Doctor in Sciences”, (the highest scientific degree in Physics and • Mathematics given in Russia) with the thesis “Problems of External Fields in Quantum Electrodynamics”, Institute of Nuclear Physics of Novosibirsk. Diploma FM No. 001066, “Higher Attestation Commission”, Moscow, April 18, 1980. Received official favorable opin- ions from Professors F.A. Berezin, Moscow State University, B.N. Baier, Institute of Nuclear Physics, Novosibirsk, V.N. Barbashov, International Institute of Nuclear Research, Dubna, and V.I. Manko, Lebedev Physical Institute, Moscow. This title was recognized by University of São Paulo in June 5, 1996 as equivalent to Full Professor in accordance with document No. 94.1.1005.43.5 1981: Received the academic degree “Cathedratic Professor of the chair of Theoretical • Physics”. Approved by the Russian Ministry of Higher Education. Diploma PR No. 007429, Higher Attestation Commission, Moscow, June 26, 1981. 3 Academic Positions 1969-1970: Assistant Professor at the Department of Physics — Tomsk Institute of Automation • Control Systems and Radio Engineering (TIASUR), Tomsk, Russia. 1970-1975: Associate Professor at the Department of Physics — Tomsk Institute of Automation • Control Systems and Radio Engineering, Tomsk, Russia. 1975-1985: Cathedratic Professor of the chair of Mathematical Analysis — Tomsk State Pedagog- • ical University (TSPU), Tomsk, Russia. 1985-1992: Full Professor of the Department of Mathematics — Moscow Institute of Radio Engi- • neering, Electronics and Automation (MIREA), Moscow, Russia. 1992-1996: Professor, (RDIDP, level MS-6) at the Department of Mathematical Physics, Physics • Institute — University of São Paulo, Brazil. 1996-1998: Associate Professor (RDIDP, level MS-5) at the Department of Mathematical Physics, • Physics Institute — University of São Paulo, Brazil. 1998-: Full Professor (RDIDP, level MS-6) at the Department of Nuclear Physics, Physics Institute • — University of São Paulo, Brazil. 1995-: CNPq Research Productivity Scholarship level PQ-1A. • 2 4 Didactic Activities Since 1969, gave undergraduate and graduate courses in many universities1. In Russia 1. General Physics, 1969-1975, TIASUR 2. Quantum Mechanics, 1970-1975, TIASUR 3. Quantum Theory of the Solid State, 1972-1975, TIASUR 4. Electrodynamics, 1970-1975, TIASUR 5. Mathematical Physics, 1976-1985, TSPU 6. Mathematical Calculus, 1976-1982, TSPU, MIREA 7. Group Theory, 1976-1985, TSPU 8. Quantum Field Theory, 1976-1985, TSU 9. Quantization of Constrained Systems, 1980-1984, TSU 10. General Relativity, 1970-1975, TSU In Brazil 1. Constrained systems theory, 1992, 1994, 2000, 2009, USP, for graduated students. 2. Path integrals in quantum mechanics and quantum field theory, 1993, 1994, 1997, 1999, USP, for graduated students. 3. General relativity, 1993, 1996, 2007, 2009, USP, for graduated students. 4. Introduction to general relativity, 1995, 2000, 2008, USP, for undergraduate students. 5. Quantum Mechanics II, 1995, USP, for undergraduate students. 6. General Physics IV, 1996, 2005, USP, for undergraduate students. 7. General Physics III, 1998, 2001, 2002, 2003, 2006, 2007, USP, for undergraduate students. 8. General Physics I, 2004, 2005, USP, for undergraduate students. 5 Orientation of students and post-docs Oriented the following students: Masters (only information in Brazil) 1. João Luis Meloni Assirati. Dissertation: Covariant generalization of Weyl ordering and particle quantization, (University of São Paulo, São Paulo, September 2001) 2. Mario Cesar Baldiotti, Dissertation: One electron quantum states in a uniform magnetic field, (University of São Paulo, São Paulo, May 2002) 3. Rodrigo Fresneda, Dissertation: Relativistic spinorial particle quantization in 2 + 1 dimensions, (University of São Paulo, São Paulo, August 2003) 1 TIASUR-Tomsk Institute of Automation Control Systems and Radio Engineering; TSPU-Tomsk State Pedagogical Universtity; MIREA-Moscow Institute of Radio Engineering, Electronics and Automation; TSU-Tomsk State University; USP-University of Sao Paulo 3 Doctorates 1. P.V. Bozrikov. Thesis: Motion of an electron in the quantized electromagnetic plane wave, (Tomsk State University, Tomsk, 1973); 2. P.M. Lavrov. Thesis: Processes with an electron in the quantized electromagnetic plane wave, (Tomsk State University, Tomsk, 1975); 3. Sh.M. Shvartsman. Thesis: Some quantum processes in intensive electromagnetic fields, (Tomsk State University, Tomsk, 1975); 4. V.M. Shachmatov. Thesis: Quantum processes with a relativistic charged particle, interacting with strong electromagnetic field, (Azerbaijan State University, Baku, 1978); 5. S.P. Gavrilov. Thesis : Some problems of QED with an external field, creating pairs, (Moscow State University, Moscow, 1981); 6. I.M. Lichtzier. Thesis: Green’s functions and one-loop effective action in external gauge and gravitational fields, (Tomsk State University, Tomsk, 1988); 7. M.D. Noskov. Thesis: Problems of QED with intensive external fields, (Tomsk State University, Tomsk, 1989); 8. V.P. Barashev. Thesis: Problems of QED with unstable vacuum, (Tomsk State University, Tomsk, 1989); 9. A.L. Shelepin. Thesis: Group methods in quantum theory and coherent states, (Lebedev Physical Institute, Moscow, 1990). 10. Antonio Edson Gonçalves. Thesis: Pseudoclassical models and their quantizations, (University of São Paulo, 1995). 11. Wellington da Cruz. Thesis: Path integral representations of relativistic particle propagators, (University of São Paulo, 1995). 12. Paulo Barbosa Barros. Thesis: Some applications of Grassmannian path integrals in modern quantum theory, (University of São Paulo, São Paulo, 1998) 13. Jose Nemecio Acosta Jara. Thesis: Quantum theory of particle radiation in a solenoidal magnetic field, (University of São Paulo, São Paulo, December 2002) 14. Andrei Smirnov, Thesis: The Dirac equation with a superposition of Aharonov-Bohm and colinear uniform magnetic fields, (University of São Paulo, São Paulo, august 2004) 15. Mario Cesar Baldiotti. Thesis: Analytic study and exact solutions of the spin equation, (University of São Paulo, São Paulo, June 2005) 16. Rodrigo Fresneda, Thesis: Some problems of quantization in theories with non-Abelian back- grounds and in non-commutative space-times, (University of São Paulo, São Paulo, October 2008) 17. Vladislav Kupriyanov, Thesis, Quantization of non-Lagrangian systems and non-commutative quantum mechanics, (University of São Paulo, São Paulo, march 2009) 18. João Luis Meloni Assirati, Thesis: Covariant quantization of mechanical systems. (University of São Paulo, São Paulo, april 2010) 4 Post-docs 1. 1997-1999: G. Fulop, Project: Reparametrization invariance and zero Hamiltonian phenomenon 2. 1997-1998: A.V. Galajinsky, Project: Classical and quantum
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