×

zbMATH — the first resource for mathematics

Chebotarev, Alexandr M.

Compute Distance To:
Author ID: chebotarev.alexandr-m Recent zbMATH articles by "Chebotarev, Alexandr M."
Published as: Chebotarev, A.; Chebotarev, A. M.; Chebotarev, Alexander; Chebotarev, Alexander M.; Chebotarev, Alexandr M.; Chebotarëv, A. M.
Documents Indexed: 86 Publications since 1974, including 1 Book

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 197 times in 134 Documents Cited by Year
Sufficient conditions for conservativity of minimal quantum dynamical semigroups. Zbl 0914.47040
Chebotarev, A. M.; Fagnola, F.
48
1998
Sufficient conditions for conservativity of quantum dynamical semigroups. Zbl 0801.46083
Chebotarev, Alexandr M.; Fagnola, Franco
20
1993
The quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrödinger equation. Zbl 0919.60093
Chebotarev, A. M.
9
1997
Symmetric form of the Hudson-Parthasarathy stochastic equation. Zbl 0904.60050
Chebotarev, A. M.
9
1996
Lectures on quantum probability. Zbl 1010.60093
Chebotarev, A. M.
8
2000
Quantum stochastic differential equations is unitarily equivalent to a symmetric boundary value problem in Fock space. Zbl 0942.60097
Chebotarev, Alexander M.
8
1998
Sufficient conditions for dissipative dynamical semigroups to be conservative. Zbl 0694.47022
Chebotarev, A. M.
8
1989
Minimal solutions in classical and quantum stochastics. Zbl 0797.60091
Chebotarev, A. M.
5
1992
The theory of the conservative dynamical semigroups and its applications. Zbl 1128.47315
Chebotarev, A. M.
5
1990
Squeezed states and their applications to quantum evolution. Zbl 1270.81111
Chebotarev, A. M.; Tlyachev, T. V.; Radionov, A. A.
4
2011
On the Lindblad equation with unbounded time-dependent coefficients. Zbl 0912.47043
Chebotarev, A. M.; Garcia, J. C.; Quezada, R. B.
4
1997
Sufficient conditions of the conservatism of a minimal dynamical semigroup. Zbl 0820.47040
Chebotarev, A. M.
4
1992
Necessary and sufficient conditions for conservativeness of dynamical semigroups. Zbl 0734.60079
Chebotarev, A. M.
4
1991
Representation of the solution of an equation of Hartree type in the form of a T-mapping. Zbl 0323.45024
Maslov, V. P.; Chebotarev, A. M.
4
1975
Operator-valued ODEs and Feynman’s formula. Zbl 1284.47013
Chebotarev, A. M.; Teretenkov, A. E.
3
2012
Generalized squeezed states and multimode factorization formula. Zbl 1263.81216
Chebotarev, A. M.; Tlyachev, T. V.; Radionov, A. A.
3
2012
Sufficient conditions for the conservativity of a minimal quantum dynamical semigroup. Zbl 1024.37006
Chebotarev, A. M.; Shustikov, S. Yu.
3
2002
Probability representations of solutions of the Cauchy problem for quantum mechanical equations. Zbl 0724.60102
Konstantinov, A. A.; Maslov, V. P.; Chebotarev, A. M.
3
1990
Shift of the boundary conditions for partial differential equations. Zbl 0695.35004
Konstantinov, A. A.; Maslov, V. P.; Chebotarëv, A. M.
3
1988
Jump-type processes and their applications in quantum mechanics. Zbl 0516.28016
Maslov, V. P.; Chebotarev, A. M.
3
1978
Generalized measure in Feynman path integrals. Zbl 0411.28018
Maslov, V. P.; Chebotarev, A. M.
3
1977
A generalized measure and Feynman path integral. Zbl 0351.28007
Maslov, V. P.; Chebotarev, A. M.
3
1976
Normal forms, inner products, and Maslov indices of general multimode squeezings. Zbl 1312.81097
Chebotarev, A. M.; Tlyachev, T. V.
2
2014
Interaction representation method for Markov master equations in quantum otpics. Zbl 1071.81072
Chebotarev, Alexander M.; Garcia, Julio C.; Quezada, Roberto B.
2
2003
A priori estimates and existence theorems for the Lindblad equation with unbounded time-dependent coefficients. Zbl 0961.81041
Chebotarev, Alexander M.; Garcia, Julio C.; Quezada, Roberto
2
1998
Towards a stochastic Stone’s theorem. Zbl 0789.60054
Chebotarev, A. M.; Fagnola, F.; Frigerio, A.
2
1992
Sufficient conditions of regularity of jump Markov processes. Zbl 0664.60081
Chebotarev, A. M.
2
1988
Processus de sauts et leurs applications dans la mécanique quantique. Zbl 0443.28010
Chebotarev, A. M.; Maslov, V. P.
2
1979
Methode der stationären Phase für nichtdifferenzierbare Funktionen. Zbl 0294.41030
Chebotarev, A. M.
2
1974
Subdifferential inverse problems for magnetohydrodynamics. Zbl 1219.35167
Chebotarev, Alexander
1
2010
Monte-Carlo method for the Schrödinger equation with a periodic asymmetric potential. Zbl 1072.81018
Polyakov, A. V.; Chebotarev, A. M.
1
2004
Estimates for the deviations of random walks and a stochastic method for solving the Schrödinger equation. Zbl 1072.60038
Chebotarev, A. M.; Polyakov, A. V.
1
2004
On the strong resolvent convergence of the Schrödinger evolution to quantum stochastics. Zbl 1115.81046
Chebotarev, A. M.; Ryzhakov, G. V.
1
2003
What is a quantum stochastic equation from the point of view of functional analysis? Zbl 1044.81071
Chebotarev, A. M.
1
2002
Quantum stochastic processes arising the strong resolvent limits of the Schrödinger evolution in Fock space. Zbl 0939.47061
Chebotarev, Alexander M.; Victorov, Dmitry V.
1
1998
Logarithmic asymptotic for the solution of Boltzmann equation. Zbl 0974.76585
Chebotarev, A. M.
1
1995
Cluster expansions and second quantization. Zbl 0901.47054
Maslov, V. P.; Chebotarev, A. M.
1
1994
Applications of quantum probability to classical stochastics. Zbl 0877.60082
Chebotarev, Alexander M.
1
1994
The theory of dynamical semigroups and its applications. Zbl 0729.47040
Chebotarev, A. M.
1
1990
Necessary and sufficient conditions for conservativeness of dynamical semigroups. Zbl 0727.60083
Chebotarev, A. M.
1
1989
Sufficient conditions for the regularity of jump Markov processes. Zbl 0715.60104
Chebotarev, A. M.
1
1988
Displacement of the boundary conditions and uniqueness theorems for nonlinear boundary value problems. Zbl 0631.34026
Maslov, V. P.; Chebotarev, A. M.
1
1987
Second term of the logarithmic asymptotics of path integrals. Zbl 0558.28009
Maslov, V. P.; Chebotarev, A. M.
1
1983
On the second term of the logarithmic asymptotics of functional integrals. Zbl 0531.28014
Maslov, V. P.; Chebotarev, A. M.
1
1982
Path integral over branching paths. Zbl 0476.28007
Maslov, V. P.; Chebotarev, A. M.
1
1981
Representation of solution of the Schrödinger equation in the form of mathematical expectation of a functional of a transition process. Zbl 0419.60066
Chebotarev, A. M.
1
1979
The definition of Feynman’s functional integral in the p-representation. Zbl 0351.28008
Maslov, V. P.; Chebotarev, A. M.
1
1976
T-mappings and functional integrals. Zbl 0463.47049
Chebotarev, A. M.
1
1975
Normal forms, inner products, and Maslov indices of general multimode squeezings. Zbl 1312.81097
Chebotarev, A. M.; Tlyachev, T. V.
2
2014
Operator-valued ODEs and Feynman’s formula. Zbl 1284.47013
Chebotarev, A. M.; Teretenkov, A. E.
3
2012
Generalized squeezed states and multimode factorization formula. Zbl 1263.81216
Chebotarev, A. M.; Tlyachev, T. V.; Radionov, A. A.
3
2012
Squeezed states and their applications to quantum evolution. Zbl 1270.81111
Chebotarev, A. M.; Tlyachev, T. V.; Radionov, A. A.
4
2011
Subdifferential inverse problems for magnetohydrodynamics. Zbl 1219.35167
Chebotarev, Alexander
1
2010
Monte-Carlo method for the Schrödinger equation with a periodic asymmetric potential. Zbl 1072.81018
Polyakov, A. V.; Chebotarev, A. M.
1
2004
Estimates for the deviations of random walks and a stochastic method for solving the Schrödinger equation. Zbl 1072.60038
Chebotarev, A. M.; Polyakov, A. V.
1
2004
Interaction representation method for Markov master equations in quantum otpics. Zbl 1071.81072
Chebotarev, Alexander M.; Garcia, Julio C.; Quezada, Roberto B.
2
2003
On the strong resolvent convergence of the Schrödinger evolution to quantum stochastics. Zbl 1115.81046
Chebotarev, A. M.; Ryzhakov, G. V.
1
2003
Sufficient conditions for the conservativity of a minimal quantum dynamical semigroup. Zbl 1024.37006
Chebotarev, A. M.; Shustikov, S. Yu.
3
2002
What is a quantum stochastic equation from the point of view of functional analysis? Zbl 1044.81071
Chebotarev, A. M.
1
2002
Lectures on quantum probability. Zbl 1010.60093
Chebotarev, A. M.
8
2000
Sufficient conditions for conservativity of minimal quantum dynamical semigroups. Zbl 0914.47040
Chebotarev, A. M.; Fagnola, F.
48
1998
Quantum stochastic differential equations is unitarily equivalent to a symmetric boundary value problem in Fock space. Zbl 0942.60097
Chebotarev, Alexander M.
8
1998
A priori estimates and existence theorems for the Lindblad equation with unbounded time-dependent coefficients. Zbl 0961.81041
Chebotarev, Alexander M.; Garcia, Julio C.; Quezada, Roberto
2
1998
Quantum stochastic processes arising the strong resolvent limits of the Schrödinger evolution in Fock space. Zbl 0939.47061
Chebotarev, Alexander M.; Victorov, Dmitry V.
1
1998
The quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrödinger equation. Zbl 0919.60093
Chebotarev, A. M.
9
1997
On the Lindblad equation with unbounded time-dependent coefficients. Zbl 0912.47043
Chebotarev, A. M.; Garcia, J. C.; Quezada, R. B.
4
1997
Symmetric form of the Hudson-Parthasarathy stochastic equation. Zbl 0904.60050
Chebotarev, A. M.
9
1996
Logarithmic asymptotic for the solution of Boltzmann equation. Zbl 0974.76585
Chebotarev, A. M.
1
1995
Cluster expansions and second quantization. Zbl 0901.47054
Maslov, V. P.; Chebotarev, A. M.
1
1994
Applications of quantum probability to classical stochastics. Zbl 0877.60082
Chebotarev, Alexander M.
1
1994
Sufficient conditions for conservativity of quantum dynamical semigroups. Zbl 0801.46083
Chebotarev, Alexandr M.; Fagnola, Franco
20
1993
Minimal solutions in classical and quantum stochastics. Zbl 0797.60091
Chebotarev, A. M.
5
1992
Sufficient conditions of the conservatism of a minimal dynamical semigroup. Zbl 0820.47040
Chebotarev, A. M.
4
1992
Towards a stochastic Stone’s theorem. Zbl 0789.60054
Chebotarev, A. M.; Fagnola, F.; Frigerio, A.
2
1992
Necessary and sufficient conditions for conservativeness of dynamical semigroups. Zbl 0734.60079
Chebotarev, A. M.
4
1991
The theory of the conservative dynamical semigroups and its applications. Zbl 1128.47315
Chebotarev, A. M.
5
1990
Probability representations of solutions of the Cauchy problem for quantum mechanical equations. Zbl 0724.60102
Konstantinov, A. A.; Maslov, V. P.; Chebotarev, A. M.
3
1990
The theory of dynamical semigroups and its applications. Zbl 0729.47040
Chebotarev, A. M.
1
1990
Sufficient conditions for dissipative dynamical semigroups to be conservative. Zbl 0694.47022
Chebotarev, A. M.
8
1989
Necessary and sufficient conditions for conservativeness of dynamical semigroups. Zbl 0727.60083
Chebotarev, A. M.
1
1989
Shift of the boundary conditions for partial differential equations. Zbl 0695.35004
Konstantinov, A. A.; Maslov, V. P.; Chebotarëv, A. M.
3
1988
Sufficient conditions of regularity of jump Markov processes. Zbl 0664.60081
Chebotarev, A. M.
2
1988
Sufficient conditions for the regularity of jump Markov processes. Zbl 0715.60104
Chebotarev, A. M.
1
1988
Displacement of the boundary conditions and uniqueness theorems for nonlinear boundary value problems. Zbl 0631.34026
Maslov, V. P.; Chebotarev, A. M.
1
1987
Second term of the logarithmic asymptotics of path integrals. Zbl 0558.28009
Maslov, V. P.; Chebotarev, A. M.
1
1983
On the second term of the logarithmic asymptotics of functional integrals. Zbl 0531.28014
Maslov, V. P.; Chebotarev, A. M.
1
1982
Path integral over branching paths. Zbl 0476.28007
Maslov, V. P.; Chebotarev, A. M.
1
1981
Processus de sauts et leurs applications dans la mécanique quantique. Zbl 0443.28010
Chebotarev, A. M.; Maslov, V. P.
2
1979
Representation of solution of the Schrödinger equation in the form of mathematical expectation of a functional of a transition process. Zbl 0419.60066
Chebotarev, A. M.
1
1979
Jump-type processes and their applications in quantum mechanics. Zbl 0516.28016
Maslov, V. P.; Chebotarev, A. M.
3
1978
Generalized measure in Feynman path integrals. Zbl 0411.28018
Maslov, V. P.; Chebotarev, A. M.
3
1977
A generalized measure and Feynman path integral. Zbl 0351.28007
Maslov, V. P.; Chebotarev, A. M.
3
1976
The definition of Feynman’s functional integral in the p-representation. Zbl 0351.28008
Maslov, V. P.; Chebotarev, A. M.
1
1976
Representation of the solution of an equation of Hartree type in the form of a T-mapping. Zbl 0323.45024
Maslov, V. P.; Chebotarev, A. M.
4
1975
T-mappings and functional integrals. Zbl 0463.47049
Chebotarev, A. M.
1
1975
Methode der stationären Phase für nichtdifferenzierbare Funktionen. Zbl 0294.41030
Chebotarev, A. M.
2
1974
all top 5

Cited by 128 Authors

17 Chebotarev, Alexandr M.
12 Fagnola, Franco
7 Gough, John E.
7 Maslov, Viktor Pavlovich
7 Rebolledo Berroeta, Rolando
6 Kholevo, Aleksandr Semënovich
6 Mora, Carlos M.
5 Accardi, Luigi
5 Quezada, Roberto B.
5 Wang, Caishi
4 Albeverio, Sergio A.
4 García, Julio César
4 Hachicha, Skander
4 Teretenkov, Alexander E.
3 Bahn, Changsoo
3 Clark, Jeremy Thane
3 Gregoratti, Matteo
3 Høegh-Krohn, Raphael J.
3 Park, Yong Moon
3 Tlyachev, T. V.
2 Androulakis, George
2 Arnold, Anton
2 Chen, Jinshu
2 Combe, Ph.
2 Ekomasov, Evgenii G.
2 Gumerov, Azamat M.
2 Ko, Chul Ki
2 Kolokoltsov, Vassili N.
2 López, José Luis
2 Mohari, Anilesh
2 Mokhtar-Kharroubi, Mustapha
2 Radionov, A. A.
2 Ren, Suling
2 Sinha, Kalyan B.
2 Sirugue, Michel
2 Smolyanov, Oleg Georgievich
2 Soler, Juan S.
2 Tang, Yuling
2 Truman, Aubrey
2 von Waldenfels, Wilhelm
2 Wills, Stephen J.
2 Zagrebnov, Valentin A.
2 Ziemke, Matthew
1 Abylkairov, Undasin U.
1 Agredo, Julián
1 Aĭtzhanov, Serik Ersultanovich
1 Alazzawi, Sabina
1 Arlotti, Luisa
1 Bagarello, Fabio
1 Balla, Katalin
1 Barbu, Viorel
1 Baumgartner, Bernhard
1 Bechouche, Philippe
1 Becker, Simon
1 Belavkin, Viacheslav
1 Blanchard, Philippe
1 Bottero, Chiara
1 Bouten, Luc
1 Cangiotti, N.
1 Carbone, Raffaella
1 Chang, Kun Soo
1 Chargoy, Jesús
1 Chen, Mu-Fa
1 Dabrowski, Yoann
1 Das, Biswarup
1 Datta, Nilanjana
1 De Roeck, Wojciech
1 Dereziński, Jan
1 Dhahri, Ameur
1 Faddeev, Mikhaĭl Mikhaĭlovich
1 García, Juan C.
1 Gaxiola, Oswaldo G.
1 Goswami, Debashish
1 Hida, Takeyuki
1 Htay, Win Win
1 Hudson, Robin Lyth
1 Ibragimov, Il’dar Abdullovich
1 Ichinose, Wataru
1 James, Matthew R.
1 Jefferies, Brian R. F.
1 Johnson, George W.
1 Karasev, Mikhail Vladimirovich
1 Khrennikov, Andreĭ Yur’evich
1 Koshmanenko, Volodymyr Dmytrovych
1 Kozyrev, Sergeĭ Vladimirovich
1 Kravtseva, A. K.
1 Kudryavtsev, Roman V.
1 Kumar, Dharmendra
1 Lindsay, J. Martin
1 Lods, Betrand
1 Mądrecki, Andrzej
1 Mancino, Maria Elvira
1 Markowich, Peter Alexander
1 Martínez, L. Pantaleoń
1 Mazzucchi, Sonia
1 Monte, Roberto
1 Montejo-Gámez, Jesús
1 Murtazin, Ramil R.
1 Nachtergaele, Bruno
1 Nazarov, V. N.
...and 28 more Authors
all top 5

Cited in 47 Serials

27 Mathematical Notes
16 Infinite Dimensional Analysis, Quantum Probability and Related Topics
15 Journal of Mathematical Physics
7 Communications in Mathematical Physics
7 Journal of Functional Analysis
6 Reviews in Mathematical Physics
5 Theoretical and Mathematical Physics
5 Open Systems & Information Dynamics
3 Reports on Mathematical Physics
3 Journal of Soviet Mathematics
3 Annales Henri Poincaré
2 Stochastic Models
1 Computers & Mathematics with Applications
1 International Journal of Theoretical Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematics of Computation
1 Theory of Probability and its Applications
1 The Annals of Probability
1 Functional Analysis and its Applications
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Rendiconti del Seminario Matematico della Università di Padova
1 Siberian Mathematical Journal
1 Zeitschrift für Analysis und ihre Anwendungen
1 Stochastic Analysis and Applications
1 Probability Theory and Related Fields
1 Revista Matemática Iberoamericana
1 The Annals of Applied Probability
1 Computational Mathematics and Mathematical Physics
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Chinese Science Bulletin
1 Journal of Nonlinear Science
1 Russian Journal of Mathematical Physics
1 Mathematical Physics, Analysis and Geometry
1 Communications in Nonlinear Science and Numerical Simulation
1 Lobachevskii Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Boundary Value Problems
1 Stochastics
1 Advances in Mathematical Physics
1 Nanoscale Systems: Mathematical Modeling, Theory and Applications

Citations by Year