VASILY E. TARASOV
LIST OF PUBLICATIONS
BOOKS
-
V.E. Tarasov
"Quantum Mechanics of Non-Hamiltonian and Dissipative Systems"
(Elsevier Science, 2008) 540 pages.
See: Elsevier and
Amazon
(ISBN-13: 978-0-444-53091-2
ISBN-10: 0-444-53091-65-7035-2390-7)
.
-
V.E. Tarasov
"Mathematical Introduction to Quantum Mechanics"
(MAI Publishing Co., Moscow, 2000) 332 pages. (ISBN: 5-7035-2390-7)
in Russian
- V.E. Tarasov
"Quantum Mechanics: Lectures on Foundations of the Theory"
(Vuzovskaya kniga, Moscow, 2000) 326 pages. (ISBN: 5-89522-107-6) in Russian
Second Edition: Vuzovskaya kniga, Moscow, 2005. (ISBN: 5-9502016-5-5)
in Russian
-
O.A. Gordeev, E.I. Konovalova, T.P. Martinenko, G.A. Odintsova,
V.E. Tarasov, O.I. Tretiakova, E.P. Vaulin
"Quantum Physics"
(Aviaizdat, Moscow, 2002). 346 pages. in Russian
ARTICLES in refereed journals
- V.E. Tarasov
"Quantum Nanotechnology"
International Journal of Nanoscience. Vol.8. No.4-5. (2009) 337-344.
PDF
- V.E. Tarasov
"Fractional dynamics of relativistic particle"
International Journal of Theoretical Physics. Vol.49. No.2. (2010) 293-303.
PDF
- V.E. Tarasov
"Differential equations with fractional derivative and universal map with memory"
Journal of Physics A. Vol.42. No.46. (2009) 465102. (13 pages)
PDF
- M. Edelman, V.E. Tarasov
"Fractional standard map"
Physics Letters A. Vol.374. No.2. (2009) 279-285.
PDF
(arXiv:0909.5412)
- V.E. Tarasov
"Discrete map with memory from fractional differential equation
of arbitrary positive order"
Journal of Mathematical Physics. Vol.50. No.12. (2009) 122703. (6 pages)
PDF
- V.E. Tarasov
"Fractional generalization of the quantum Markovian master equation"
Theoretical and Mathematical Physics. Vol.158. No.2. (2009) pp.179-195.
PDF
(Teoreticheskaya i Matematicheskaya Fizika. Vol.158. No.2. (2009) pp.214-233. in Russian)
PDF
(arXiv:0909.0965)
- V.E. Tarasov
"Fractional integro-differential equations for electromagnetic waves in dielectric media"
Theoretical and Mathematical Physics. Vol.158. No.3. (2009) pp.355-359.
PDF
(Teoreticheskaya i Matematicheskaya Fizika. Vol.158. No.3. (2009) pp.419-424. in Russian)
PDF
- V.E. Tarasov
"Weyl quantization of fractional derivatives"
Journal of Mathematical Physics. Vol.49. No.10. (2008) 102112. (6 pages)
PDF
(arXiv:0907.2699)
- V.E. Tarasov
"Fractional Heisenberg equation"
Physics Letters A. Vol.372. No.17. (2008) pp.2984-2988.
PDF
(arXiv:0804.0586)
- V.E. Tarasov
"Fractional vector calculus and fractional Maxwell's equations"
Annals of Physics. Vol.323. No.11. (2008) pp.2756-2778.
PDF
(arXiv:0907.2363)
- V.E. Tarasov
"Universal electromagnetic waves in dielectrics"
Journal of Physics: Condensed Matter. Vol.20. No.17. (2008) 175223. (7 pages)
PDF
(arXiv:0907.2163)
- V.E. Tarasov
"Fractional equations of Curie-von Schweidler and Gauss laws"
Journal of Physics: Condensed Matter. Vol.20. No.14. (2008) 145212. (5 pages)
PDF
(arXiv:0907.1837)
- V.E. Tarasov
"Fractional powers of derivatives in classical mechanics"
Communications in Applied Analysis. Vol.12. No.4. (2008) pp.441-450.
PDF
- V.E. Tarasov, G.M. Zaslavsky
"Fractional equations of kicked systems and discrete maps"
Journal of Physics A. Vol.41. No.43. (2008) 435101. (16 pages)
PDF
- V.E. Tarasov, G.M. Zaslavsky
"Fokker-Planck equation with fractional coordinate derivatives"
Physica A. Vol.387. No.26. (2008) pp.6505-6512.
PDF
(arXiv:0805.0606)
- V.E. Tarasov
"Chains with fractal dispersion law"
Journal of Physics A. Vol.41. No.3. (2008) 035101. (6 pages)
PDF
(arXiv:0804.0607)
- V.E. Tarasov, G.M. Zaslavsky
"Fractional generalization of Kac integral"
Communications in Nonlinear Science and Numerical Simulation.
Vol.13. No.2. (2008) pp.248-258.
PDF
(arXiv:0704.1771)
- V.E. Tarasov, G.M. Zaslavsky
"Fractional dynamics of systems with long-range space interaction
and temporal memory"
Physica A. Vol.383. No.2. (2007) pp.291-308.
PDF
(math-ph/0702065)
- V.E. Tarasov
"Fractional Chapman-Kolmogorov equation"
Modern Physics Letters B. Vol.21. No.4. (2007) pp.163-174.
PDF
(arXiv:0710.0809)
- V.E. Tarasov
"Liouville and Bogoliubov equations with fractional derivatives"
Modern Physics Letters B. Vol.21. No.5. (2007) pp.237-248.
PDF
(arXiv:0711.0859)
- V.E. Tarasov
"Fractional derivative as fractional power of derivative"
International Journal of Mathematics. Vol.18. No.3. (2007) pp.281-299.
PDF
(arXiv:0711.2567)
- V.E. Tarasov, G.M. Zaslavsky
"Conservation laws and Hamiltonian's equations for systems
with long-range interaction and memory"
Communications in Nonlinear Science and Numerical Simulation.
Vol.13. No.9. (2008) pp.1860-1878.
PDF
(math-ph/0703048)
- V.E. Tarasov
"Fokker-Planck equation for fractional systems"
International Journal of Modern Physics B.
Vol.21. N.6. (2007) pp.955-967.
PDF
(arXiv:0710.2053)
- G.M. Zaslavsky, M. Edelman, V.E. Tarasov
"Dynamics of the chain of oscillators with long-range interaction:
from synchronization to chaos"
Chaos. Vol.17. No.4. (2007) 043124. (10 pages)
PDF
(arXiv:0707.3941)
- N. Korabel, G.M. Zaslavsky, V.E. Tarasov
"Coupled oscillators with power-law interaction and their fractional dynamics analogues"
Communications in Nonlinear Science and Numerical Simulation. Vol.12. No.8. (2007) pp.1405-1417.
PDF
(math-ph/0603074)
- V.E. Tarasov
"Map of discrete system into continuous"
Journal of Mathematical Physics. Vol.47. No.9. (2006) 092901. (24 pages)
PDF
(arXiv:0711.2612)
- V.E. Tarasov
"Fractional statistical mechanics"
Chaos. Vol.16. No.3. (2006) 033108. (7 pages)
PDF
(arXiv:0710.1807)
- V.E. Tarasov
"Electromagnetic fields on fractals"
Modern Physics Letters A. Vol.21. No.20. (2006) pp.1587-1600.
PDF
(arXiv:0711.1783)
- V.E. Tarasov
"Continuous limit of discrete systems with long-range interaction"
Journal of Physics A. Vol.39. No.48. (2006) pp.14895-14910.
PDF
(arXiv:0711.0826)
- V.E. Tarasov
"Fractional variations for dynamical systems: Hamilton and Lagrange approaches"
Journal of Physics A. Vol.39. No.26. (2006) pp.8409-8425.
PDF
(math-ph/0606048)
- V.E. Tarasov
"Psi-series solution of fractional Ginzburg-Landau equation"
Journal of Physics A. Vol.39. No.26. (2006) pp.8395-8407.
PDF
(nlin.SI/0606070)
- V.E. Tarasov
"Magnetohydrodynamics of fractal media"
Physics of Plasmas. Vol.13. No.5. (2006) 052107. (12 pages)
PDF
(arXiv:0711.0305)
- V.E. Tarasov, G.M. Zaslavsky
"Nonholonomic constraints with fractional derivatives"
Journal of Physics A. Vol.39. No.31. (2006) pp.9797-9815.
PDF
(math-ph/0603067)
- V.E. Tarasov, G.M. Zaslavsky
"Fractional dynamics of systems with long-range interaction"
Communications in Nonlinear Science and Numerical Simulation. Vol.11. No.8. (2006) pp.885-898.
PDF
- V.E. Tarasov, G.M. Zaslavsky
"Dynamics with low-level fractionality"
Physica A. Vol.368. No.2. (2006) pp.399-415.
PDF
(physics/0511138)
- V.E. Tarasov, G.M. Zaslavsky
"Fractional dynamics of coupled oscillators with long-range interaction"
Chaos. Vol.16. No.2. (2006) 023110. (13 pages)
PDF
(nlin.PS/0512013)
- V.E. Tarasov
"Transport equations from Liouville equations for fractional systems"
International Journal of Modern Physics B. Vol.20. No.3. (2006) pp.341-353.
PDF
(cond-mat/0604058)
- V.E. Tarasov
"Gravitational field of fractal distribution of particles"
Celestial Mechanics and Dynamical Astronomy. Vol.94. No.1. (2006) pp.1-15.
PDF
(astro-ph/0604491)
- V.E. Tarasov
"Fractional generalization of gradient and Hamiltonian systems"
Journal of Physics A. Vol.38. No.26. (2005) pp.5929-5943.
PDF
(math.DS/0602208)
- V.E. Tarasov
"Electromagnetic field of fractal distribution of charged particles"
Physics of Plasmas. Vol.12. No.8. (2005) 082106 (9 pages).
PDF
(physics/0610010)
- V.E. Tarasov
"Multipole moments of fractal distribution of charges"
Modern Physics Letters B. Vol.19. No.22. (2005) pp.1107-1118.
PDF
(physics/0606251)
- V.E. Tarasov
"Fractional hydrodynamic equations for fractal media"
Annals of Physics. Vol.318. No.2. (2005) pp.286-307.
PDF
(physics/0602096)
- V.E. Tarasov
"Dynamics of fractal solid"
International Journal of Modern Physics B. Vol.19. No.27. (2005) pp.4103-4114.
PDF
( arXiv:0710.0787)
- V.E. Tarasov
"Fractional generalization of gradient systems"
Letters in Mathematical Physics. Vol.73. No.1. (2005) pp.49-58.
PDF
(nlin.CD/0604007)
- V.E. Tarasov
"Wave equation for fractal solid string"
Modern Physics Letters B. Vol.19. No.15. (2005) pp.721-728.
PDF
(physics/0605006)
- V.E. Tarasov
"Phase-space metric for non-Hamiltonian systems"
Journal of Physics A. Vol.38. No.10/11. (2005) pp.2145-2155.
PDF
(math.DS/0602433)
- V.E. Tarasov
"Continuous medium model for fractal media"
Physics Letters A. Vol.336. N.2/3. (2005) pp.167-174.
PDF
(cond-mat/0506137)
- V.E. Tarasov
"Possible experimental test of continuous medium model for fractal media"
Physics Letters A. Vol.341. N.5/6. (2005) pp.467-472.
PDF
(physics/0602121)
- V.E. Tarasov
"Thermodynamics of few-particle systems"
International Journal of Modern Physics B. Vol.19. No.5. (2005) pp.879-897.
PDF
(arxiv:0706.3455)
- V.E. Tarasov
"Fractional Fokker-Planck equation for fractal media"
Chaos. Vol.15. No.2. (2005) 023102.
PDF
(nlin.CD/0602029)
- V.E. Tarasov, G.M. Zaslavsky
"Fractional Ginzburg-Landau equation for fractal media"
Physica A. Vol.354. (2005) pp.249-261.
PDF
(physics/0511144)
- V.E. Tarasov
"Fractional Liouville and BBGKI equations"
Journal of Physics: Conference Series. Vol.7. (2005) pp.17-33.
PDF
(nlin.CD/0602062)
- V.E. Tarasov
"Stationary solutions of Liouville equations for non-Hamiltonian systems"
Annals of Physics. Vol.316. (2005) pp.393-413.
PDF
(cond-mat/0602409)
- V.E. Tarasov
"Fractional systems and fractional Bogoliubov hierarchy equations"
Physical Review E. Vol.71. (2005) 011102 (12 pages).
PDF
(cond-mat/0505720)
- V.E. Tarasov
"Path integral for quantum operations"
Journal of Physics A. Vol.37. No.9. (2004) pp.3241-3257.
PDF
(arXiv:0706.2142)
- V.E. Tarasov
"Fractional generalization of Liouville equations"
Chaos. Vol.14. No.1. (2004) pp.123-127.
PDF
(nlin.CD/0312044)
- V.E. Tarasov
"Classical canonical distribution for dissipative systems"
Modern Physics Letters B. Vol.17. No.23. (2003) pp.1219-1226.
PDF
(cond-mat/0311536)
- V.E. Tarasov
"Pure stationary states of open quantum systems"
Physical Review E. Vol.66. No.5. (2002) 056116.
PDF
(quant-ph/0311177)
- V.E. Tarasov
"Quantum computer with mixed states and four-valued logic"
Journal of Physics A. Vol.35. No.25. (2002) pp.5207-5235.
PDF
(quant-ph/0312131)
- V.E. Tarasov
"Stationary states of dissipative quantum systems"
Physics Letters A. Vol.299. No.2/3. (2002) pp.173-178.
PDF
- V.E. Tarasov
"Quantization of non-Hamiltonian and dissipative systems"
Physics Letters A. Vol.288. No.3/4. (2001) pp.173-182.
PDF
(quant-ph/0311159)
- V.E. Tarasov
"Weyl quantization of dynamical systems with flat phase space"
Moscow University Physics Bulletin. Vol.56. No.6. (2001) pp.5-10.
PDF
Vestnik Moscovskogo Universiteta. Seria 3. Fizika i Astronomiya. Vol.56. No.6. (2001) pp.6-9.
PDF
- V.E. Tarasov
"Quantization of non-Hamiltonian systems"
Theoretical Physics. Vol.2. (2001) pp.150-160.
PDF
- V.E. Tarasov
"Quantum dissipative systems: IV.
Analogues of Lie algebras and groups"
Theoretical and Mathematical Physics. Vol.110. No.2. (1997) pp.168-178.
PDF
(Teoreticheskaia i Matematicheskaia Fizika. Vol. 110. No.2. (1997) pp.214-227.
PDF in Russian)
- V.E. Tarasov
"Quantum dissipative systems: III.
Definition and algebraic structure"
Theoretical and Mathematical Physics. Vol.110. No.1. (1997) pp.57-67.
PDF
(Teoreticheskaia i Matematicheskaia Fizika. Vol. 110. No.1. (1997) pp.73-85.
PDF in Russian)
- V.E. Tarasov
"Bosonic string in affine-metric curved space"
Physics Letters B. Vol.323. No.3/4. (1994) pp.296-304.
PDF
(hep-th/0401223)
- V.E. Tarasov
"Two-Loop beta-function for nonlinear sigma model with affine-metric manifold"
Modern Physics Letters A. Vol.9. No.26. (1994) pp.2411-2419.
PDF
- V.E. Tarasov
"Quantum dissipative systems: I.
Canonical quantization and quantum Liouville equation"
Theoretical and Mathematical Physics. Vol.100. No.3. (1994) pp.1100-1112.
PDF
(Teoreticheskaia i Matematicheskaia Fizika. Vol.100. No.3. (1994) pp.402-417.
PDF in Russian)
- V.E. Tarasov
"Quantum dissipative systems: II.
String in a curved affine-metric space-time"
Theoretical and Mathematical Physics. Vol.101. No.1. (1994) pp.1184-1190.
PDF
(Teoreticheskaia i Matematicheskaia Fizika. Vol.101. No.1. (1994) pp.38-46.
PDF in Russian)
- V.E. Tarasov
"Quantization, generating functional and conformal
anomaly for a nonlinear affine-metric sigma-model"
Physics of Atomic Nuclei. Vol.56. No.11. (1993) pp.1608-1612.
(Yadernaia Fizika. Vol.56. No.11. (1993) pp.269-276.)
PDF
- A.P. Demichev, M.Z. Iofa, Yu.A. Kubyshin, V.E. Tarasov
"Possible manifestations of multidimensionality
of space-time in a simple mode"
Physics of Atomic Nuclei. Vol.56. No.11. (1993) pp.1582-1584.
(Yadernaia Fizika. Vol.56. No.11. (1993) pp.222-226.)
PDF
- V.V. Belokurov, V.E. Tarasov
"Invariant regularization of infrared divergences in the
background field methods for two-dimensional nonlinear theories"
Moscow University Physics Bulletin.
Vol.46. No.6. (1991) pp.14-17.
PDF
- V.V. Belokurov, V.E. Tarasov
"Ultraviolet finiteness of nonlinear two-dimensional
sigma-models on affine-metric manifolds"
Theoretical and Mathematical Physics.
Vol.78. No.3. (1989) pp.334-337.
PDF
(Teoreticheskaia i Matematicheskaia Fizika. Vol.78. No.3. (1989) pp.471-474.
PDF in Russian)
Articles in refereed Proceedings:
- G.M. Zaslavsky, V.E. Tarasov
"Fractional generalization of Ginzburg-Landau and
nonlinear Schroedinger equations"
in Proceedings of the ASME International Design Engineering Technical
Conferences and
Computers and Information in Engineering Conference - DETC 2005, 6 B.
(September 24-28, 2005 Long Beach, CA) pp.1407-1414.
- V.E. Tarasov
"Canonical Gibbs distribution for dissipative systems"
in Proc. XVII Int. Workshop on High Energy Physics
and Quantum Field Theory.
(Samara-Saratov, Russia, September 4-11, 2003)
Ed. by M.N. Dubinin and V.I. Savrin
(MSU, Moscow, 2004). pp.432-442.
- V.E. Tarasov
"Pure stationary states of non-Hamiltonian and dissipative
quantum systems"
in Proc. XVI Int. Workshop on High Energy Physics
and Quantum Field Theory.
(September 6-12, Moscow, 2001)
Ed. by M.N. Dubinin and V.I. Savrin
(MSU, Moscow, 2002). pp.389-397.
(quant-ph/0201033)
- V.E. Tarasov
"Dynamical quantization"
in Proc. XV Int. Workshop on High Energy Physics
and Quantum Field Theory.
(Tver, Russia, September 7-13, 2000)
Ed. by M.N. Dubinin and V.I. Savrin
(MSU, Moscow, 2001). pp.362-371.
- V.E. Tarasov
"Quantum theory and non-Hamiltonian systems:
path-integral approach"
in Proc. XIV Int. Workshop on High Energy Physics
and Quantum Field Theory.
(Moscow, Russia, May 27 - June 2, 1999)
Ed. by B.B. Levtchenko and V.I. Savrin
(MSU, Moscow, 2000). pp.637-640.
- V.E. Tarasov
"Quantum non-Hamiltonian systems: definition and algebraic structures"
in Proc. XI Int. Workshop on High Energy Physics and Quantum
Field Theory.
(Sankt-Petersburg, Russia, September 12-18, 1996)
Ed. by B.B. Levtchenko.
(MSU, Moscow, 1997). pp.368-371.
- V.E. Tarasov
"Analog of Lie algebra and Lie group for
quantum non-Hamiltonian systems"
in Proc. X Int. Workshop on High Energy Physics
and Quantum Field Theory.
(Zvenigorod, Russia, September 20-26, 1995)
Ed. by B.B. Levtchenko.
(MSU, Moscow, 1996). pp.310-316.
(hep-th/9601063)
- V.E. Tarasov
"Strings and dissipative mechanics"
in Proc. IX Int. Workshop on High Energy Physics
and Quantum Field Theory.
(Zvenigorod, Russia, September 16-22, 1994)
Ed. by B.B. Levtchenko.
(MSU, Moscow, 1995). pp.332-339.
(hep-th/9506053)
- V.E. Tarasov
"Phase space path integral for non-Hamiltonian systems"
in Proc. Joint Int. Workshop on High Energy
Physics and Quantum Field Theory
(Zvenigorod, Russia, September 15-21, 1993)
Ed. by B.B. Levtchenko.
(MSU, Moscow, 1994). pp.205-209.
- V.E. Tarasov
"CompHEP catalogue. Higgs decay modes
in Standard Model (H --> 2x, 3x processes)"
in Proc. 2-nd Workshop on Physics at VLEPP
(Protvino, Russia, June 2-4, 1992)
Supplement. 1992. pp.89-106.
- V.E. Tarasov
"Nonlinear two-dimensional sigma-model:
nonmetricity from non-holonomic functional
and inconstant string tension"
in Proc. Int. Confer. on Current problems of
fundamental sciences.
(Moscow, Russia, October 28 - November 1, 1991)
Vol.3. Ed. by I.B. Fyodorov.
(Moscow, Moscow State Bauman Technical University), 1991. pp.62-64.
Preprints:
- V.E. Tarasov
"Fractional stability" 2007, 5p.
arXiv:0711.2117
- V.E. Tarasov
"Quantum computations by quantum operations
with mixed states."
2002. 11p. LANL E-print archiv: quant-ph/0201033.
- V.E. Tarasov
"Open n-qubit system as a quantum computer
with four-valued logic"
Preprint SINP MSU. No.2001-31/671. 25p.
LANL E-print archiv: quant-ph/0112023.
- V.E. Tarasov
"Quantization of Lorenz-type systems"
Preprint SINP MSU. No.2001-22/662. 15p.
- V.E. Tarasov
"Quantization of non-Hamiltonian systems"
Preprint SINP MSU. No. 2000-33/637. 15p.
LANL E-print archiv: quant-ph/0108120.
- V.E. Tarasov
"Dissipative quantum mechanics: The generalization of the
canonical quantization and von Neumann equation"
Preprint ICTP. No.IC-94-192. 23p.
LANL E-print archiv: hep-th/9410025.
PDF
- A.P. Demichev, M.Z. Iofa, Yu.A. Kubyshin, V.E. Tarasov
"Possible manifestations of multidimensionality of space-time in a simple models"
Preprint SNUTP. No.92-106,
Seoul: Seoul National Univ. Press, 1992. 9p.
- V.E. Tarasov
"Dissipative quantum dynamics and nonlinear sigma-model"
Preprint SINP MSU. No.92-33/282. 22p.
- V.E. Tarasov, V.V. Belokurov
"The correlation between the connection and
the metric as ultraviolet finiteness condition"
Preprint ICTP. No.IC-90-168. Trieste, 1990. 22p.
PDF
Scientific reports:
- M.Z. Iofa, Yu.A. Kubyshin, A.P. Demichev, V.E. Tarasov
"Investigation of gauge and string aspects of M-theory"
Information Bulletin of Russian Foundation for Basic Research,
Vol.7. (1999) No.2. p.438. (in Russian)
- M.Z. Iofa, A.P. Demichev, Yu.A. Kubyshin, V.E. Tarasov
"Quantization of the gravity models and higher-order
effects of string perturbation theory"
Information Bulletin of Russian Foundation for Basic Research,
Vol.4. (1996) No.2. p.152. (in Russian)
- V.V. Belokurov, M.Z. Iofa, V.E. Tarasov
"Higher-order effects of string perturbation theory
and two-dimensional black holes"
Information Bulletin of Russian Foundation for Basic Research,
Vol.2. (1994) No.2. p.525. (in Russian)
Scientific Popular Articles:
-
S. Belyaeva, V.E. Tarasov
"Quantum Computer",
(in Russian: "V labirintah Kvantovogo Mozga")
Vokrug Sveta. Vol.2779. No.8. August 2005. pp.86-92.
(in Russian)
-
V.E. Tarasov
"Quantum Fields and Superstrings", (in Russian: "Muzika Sfer")
Vokrug Sveta. Vol.2772. No.1. January 2005. pp.30-40
(in Russian)
-
V.E. Tarasov
"Quantum World", (in Russian: "Portchionnii Mikromir")
Vokrug Sveta. Vol.2766. No.7. July 2004. pp.76-86.
(in Russian)
Other Articles:
-
G.P. Berman, A.A. Vasiliev, N.S. Erokhin, L.M. Zeleny,
V.A. Ignatchenko, A. Iomin, E.Ya. Kogan, A.K. Kolovsky,
R.R. Mukhin, A.I. Neishtadt, S.V. Prants,
V.E. Tarasov, A.M. Fridman,
"G.M. Zaslavsky 1935-2008", (in Russian)
Applied Nonlinear Dynamics. Vol.17. No.1. (2009). pp.137-149.
Back to V. Tarasov
Last update: June 11, 2009
tarasov@theory.sinp.msu.ru