Edit Profile (opens in new tab) Zhislin, Grigoriĭ M. Co-Author Distance Author ID: zhislin.grigorii-m Published as: Zhislin, G. M.; Zhislin, G.; Zhislin, Grigoriĭ M.; Zhislin, Grigorii; Zhislin, Grigoriy more...less External Links: MGP Documents Indexed: 74 Publications since 1958 Co-Authors: 20 Co-Authors with 42 Joint Publications 343 Co-Co-Authors all top 5 Co-Authors 32 single-authored 28 Vugal’ter, Semën Abramovich 5 Antonets, Mikhail A. 5 Shereshevskii, Ilya Aronovich 5 Sigalov, Aleksandr Grigor’evich 2 Golovin, Oleg Nikolaevich 2 Kronrod, Aleksandr Semenovich 2 Landis, Evgenii Mikhailovich 2 Lyusternik, Lazar’ Aronovich 2 Shilov, Georgiĭ Evgen’evich 1 Beloshapka, Valeriĭ K. 1 Kalinin, Aleksey V. 1 Kuznetsov, Michael I. 1 Mayorov, Kirill 1 Polotovsky, Grigory Mikhailovich 1 Remizov, Ivan D. 1 Sennikovskiy, Yakov 1 Shabat, Georgiĭ Borisovich 1 Tokman, Mikhail 1 Tumanov, Alexander 1 Zhizhenkova, E. F. all top 5 Serials 12 Theoretical and Mathematical Physics 7 Functional Analysis and its Applications 4 Soviet Mathematics. Doklady 3 Doklady Akademii Nauk SSSR 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Transactions of the Moscow Mathematical Society 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 St. Petersburg Mathematical Journal 3 Doklady Mathematics 2 Letters in Mathematical Physics 2 Teoreticheskaya i Matematicheskaya Fizika 2 Algebra i Analiz 2 Soviet Physics. Doklady 2 Translations. Series 2. American Mathematical Society 1 Communications in Mathematical Physics 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Mathematics of the USSR, Sbornik 1 Notices of the American Mathematical Society 1 Zapiski Nauchnykh Seminarov POMI 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Izvestiya: Mathematics 1 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Fields 47 Quantum theory (81-XX) 33 Operator theory (47-XX) 32 Partial differential equations (35-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 92 times in 58 Documents Cited by ▼ Year ▼ The symmetry and Efimov’s effect in systems of three-quantum particles. Zbl 0515.47024 Vugal’ter, S. A.; Zhislin, G. M. 13 1982 On the finiteness of discrete spectrum in the n-particle problem. Zbl 0581.46063 Vugal’ter, S. A.; Zhislin, G. M. 11 1984 Untersuchung des Spektrums des Schrödingerschen Operators für Systeme von vielen Teilchen. Zbl 0121.10004 Zhislin, G. M. 6 1960 Über das Spektrum des Energieoperators für Atome mit ruhenden Kernen auf Unterräumen, die irreduziblen Darstellungen der Permutationsgruppe entsprechen. Zbl 0138.39304 Zhislin, G. M.; Sigalov, A. G. 5 1965 On the finiteness of the discrete spectrum of Hamiltonians for quantum systems of three one- or two-dimensional particles. Zbl 0759.35033 Vugalter, S. A.; Zhislin, G. M. 5 1992 Localization of the essential spectrum of the energy operators of \(n\)- particle quantum systems in a magnetic field. Zbl 0801.35096 Vugal’ter, S. A.; Zhislin, G. M. 5 1993 Spectrum of differential operators of quantum-mechanical many-particle systems in spaces of functions of a given symmetry. Zbl 0205.14503 Zhislin, G. M. 5 1970 Spectral properties of Hamiltonians with a magnetic field under fixation of pseudomomentum. II. Zbl 1085.81504 Zhislin, G. M. 3 1999 Localization of the essential spectrum of energy operators for quantum systems with nonincreasing magnetic fields. Zbl 0930.47047 Zhislin, G. M. 3 1996 Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. I. Zbl 0963.47509 Vugal’ter, S. A.; Zhislin, G. M. 3 1997 On the discrete spectrum of Schrödinger operators of many-particle systems with two-particle virtual levels. Zbl 0561.35022 Vugal’ter, S. A.; Zhislin, G. M. 2 1982 Über die Endlichkeit des Spektrums des Energieoperators negativer atomarer und molekularer Ionen. Zbl 0212.15703 Zhislin, G. M. 2 1971 Spectral properties of a pseudorelativistic system of two particles with finite masses. Zbl 0972.81039 Vugal’ter, S. A.; Zhislin, G. M. 2 1999 On the finiteness of the discrete spectrum of energy operators of multiparticle quantum systems. Zbl 0277.35028 Zhislin, G. M. 2 1972 On the discrete spectrum of the Hamiltonian of an n-particle quantum system. Zbl 0281.47008 Antonets, M. A.; Zhislin, G. M.; Shereshevskij, I. A. 2 1974 Spectra of Hamiltonians of molecule pseudorelativistic electrons in spaces of functions with permutational and point symmetry. Zbl 1098.81037 Zhislin, G. M. 2 2006 On the spectrum of Schrödinger operators of multiparticle systems with short-range potentials. Zbl 0623.35046 Vugal’ter, S. A.; Zhislin, G. M. 2 1987 On the discrete spectrum of Hamiltonians for pseudo-relativistic electrons. Zbl 1039.81022 Zhislin, G. M.; Vugal’ter, S. A. 2 2002 Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. III. Zbl 1086.81512 Zhislin, G. M. 1 1999 Spectral asymptotic for \(N\)-particle Schrödinger operators with a homogeneous magnetic field on subspaces with fixed \(SO(2)\)-symmetry. Zbl 0824.35092 Vugal’ter, S. A.; Zhislin, G. M. 1 1993 Spectral properties of Hamiltonians of charged systems in a homogeneous magnetic field. II: The structure of the pure point spectrum. Zbl 1178.81075 Zhislin, G. M. 1 2003 The essential spectrum of many-particle systems in magnetic fields. Zbl 0866.35080 Zhislin, G. M. 1 1996 Spectrum of the relative motion of many-particle systems in a homogeneous magnetic field: What do we know about it? Zbl 0922.35103 Zhislin, G. 1 1999 On the existence of characteristic functions for Schrödinger’s equation. Zbl 0084.30802 Zhislin, G. M. 1 1958 A characteristic of the spectrum of Schrödinger’s operator for systems of molecular type. Zbl 0104.07801 Zhislin, G. M. 1 1959 Untersuchung des Spektrums von Differentialoperatoren quantenmechanischer Systeme vieler Teilchen in Räumen von Funktionen gegebener Symmetrie. Zbl 0182.18701 Zhislin, G. M. 1 1969 Geometric methods for many-particle Hamiltonians with magnetic fields. Zbl 0898.35067 Zhislin, G.; Vugal’ter, S. 1 1998 Asymptotics of the discrete spectrum of Hamiltonians of quantum systems with a homogeneous magnetic field. Zbl 0731.47016 Vugal’ter, S. A.; Zhislin, G. M. 1 1990 Asymptotics of the discrete spectrum of the Hamiltonians of multiparticle quantum systems in a homogeneous magnetic field. Zbl 0791.47058 Vugal’ter, S. A.; Zhislin, G. M. 1 1991 On the asymptotics of the discrete spectrum of a given symmetry of multiparticle Hamiltonians. Zbl 0806.46078 Vugal’ter, S. A.; Zhislin, G. M. 1 1992 On the discrete spectrum of the negative hydrogen ion with a homogeneous magnetic field. Zbl 0772.35044 Vugalter, S. A.; Zhislin, G. M. 1 1993 Stability of \(n\)-particle pseudorelativistic systems. Zbl 1131.81013 Zhislin, G. M. 1 2007 Aleksandr Grigor’evich Sigalov. Obituary. Zbl 0201.00403 Golovin, O. N.; Zhislin, G. M.; Kronrod, A. S.; Landis, E. M.; Lyusternik, L. A.; Shilov, G. E. 1 1970 On the spectrum of the energy operator for atoms with fixed nuclei on subspaces corresponding to irreducible representations of a group of permutations. Zbl 0201.45401 Zhislin, G. M.; Sigalov, A. G. 1 1970 Alexander Abrosimov. Zbl 1284.01049 Beloshapka, Valery; Kalinin, Aleksey; Kuznetsov, Michael; Mayorov, Kirill; Polotovskiy, Grigory; Remizov, Ivan; Sennikovskiy, Yakov; Shabat, George; Tokman, Mikhail; Tumanov, Alexander; Zhislin, Grigoriy 1 2012 Alexander Abrosimov. Zbl 1284.01049 Beloshapka, Valery; Kalinin, Aleksey; Kuznetsov, Michael; Mayorov, Kirill; Polotovskiy, Grigory; Remizov, Ivan; Sennikovskiy, Yakov; Shabat, George; Tokman, Mikhail; Tumanov, Alexander; Zhislin, Grigoriy 1 2012 Stability of \(n\)-particle pseudorelativistic systems. Zbl 1131.81013 Zhislin, G. M. 1 2007 Spectra of Hamiltonians of molecule pseudorelativistic electrons in spaces of functions with permutational and point symmetry. Zbl 1098.81037 Zhislin, G. M. 2 2006 Spectral properties of Hamiltonians of charged systems in a homogeneous magnetic field. II: The structure of the pure point spectrum. Zbl 1178.81075 Zhislin, G. M. 1 2003 On the discrete spectrum of Hamiltonians for pseudo-relativistic electrons. Zbl 1039.81022 Zhislin, G. M.; Vugal’ter, S. A. 2 2002 Spectral properties of Hamiltonians with a magnetic field under fixation of pseudomomentum. II. Zbl 1085.81504 Zhislin, G. M. 3 1999 Spectral properties of a pseudorelativistic system of two particles with finite masses. Zbl 0972.81039 Vugal’ter, S. A.; Zhislin, G. M. 2 1999 Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. III. Zbl 1086.81512 Zhislin, G. M. 1 1999 Spectrum of the relative motion of many-particle systems in a homogeneous magnetic field: What do we know about it? Zbl 0922.35103 Zhislin, G. 1 1999 Geometric methods for many-particle Hamiltonians with magnetic fields. Zbl 0898.35067 Zhislin, G.; Vugal’ter, S. 1 1998 Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. I. Zbl 0963.47509 Vugal’ter, S. A.; Zhislin, G. M. 3 1997 Localization of the essential spectrum of energy operators for quantum systems with nonincreasing magnetic fields. Zbl 0930.47047 Zhislin, G. M. 3 1996 The essential spectrum of many-particle systems in magnetic fields. Zbl 0866.35080 Zhislin, G. M. 1 1996 Localization of the essential spectrum of the energy operators of \(n\)- particle quantum systems in a magnetic field. Zbl 0801.35096 Vugal’ter, S. A.; Zhislin, G. M. 5 1993 Spectral asymptotic for \(N\)-particle Schrödinger operators with a homogeneous magnetic field on subspaces with fixed \(SO(2)\)-symmetry. Zbl 0824.35092 Vugal’ter, S. A.; Zhislin, G. M. 1 1993 On the discrete spectrum of the negative hydrogen ion with a homogeneous magnetic field. Zbl 0772.35044 Vugalter, S. A.; Zhislin, G. M. 1 1993 On the finiteness of the discrete spectrum of Hamiltonians for quantum systems of three one- or two-dimensional particles. Zbl 0759.35033 Vugalter, S. A.; Zhislin, G. M. 5 1992 On the asymptotics of the discrete spectrum of a given symmetry of multiparticle Hamiltonians. Zbl 0806.46078 Vugal’ter, S. A.; Zhislin, G. M. 1 1992 Asymptotics of the discrete spectrum of the Hamiltonians of multiparticle quantum systems in a homogeneous magnetic field. Zbl 0791.47058 Vugal’ter, S. A.; Zhislin, G. M. 1 1991 Asymptotics of the discrete spectrum of Hamiltonians of quantum systems with a homogeneous magnetic field. Zbl 0731.47016 Vugal’ter, S. A.; Zhislin, G. M. 1 1990 On the spectrum of Schrödinger operators of multiparticle systems with short-range potentials. Zbl 0623.35046 Vugal’ter, S. A.; Zhislin, G. M. 2 1987 On the finiteness of discrete spectrum in the n-particle problem. Zbl 0581.46063 Vugal’ter, S. A.; Zhislin, G. M. 11 1984 The symmetry and Efimov’s effect in systems of three-quantum particles. Zbl 0515.47024 Vugal’ter, S. A.; Zhislin, G. M. 13 1982 On the discrete spectrum of Schrödinger operators of many-particle systems with two-particle virtual levels. Zbl 0561.35022 Vugal’ter, S. A.; Zhislin, G. M. 2 1982 On the discrete spectrum of the Hamiltonian of an n-particle quantum system. Zbl 0281.47008 Antonets, M. A.; Zhislin, G. M.; Shereshevskij, I. A. 2 1974 On the finiteness of the discrete spectrum of energy operators of multiparticle quantum systems. Zbl 0277.35028 Zhislin, G. M. 2 1972 Über die Endlichkeit des Spektrums des Energieoperators negativer atomarer und molekularer Ionen. Zbl 0212.15703 Zhislin, G. M. 2 1971 Spectrum of differential operators of quantum-mechanical many-particle systems in spaces of functions of a given symmetry. Zbl 0205.14503 Zhislin, G. M. 5 1970 Aleksandr Grigor’evich Sigalov. Obituary. Zbl 0201.00403 Golovin, O. N.; Zhislin, G. M.; Kronrod, A. S.; Landis, E. M.; Lyusternik, L. A.; Shilov, G. E. 1 1970 On the spectrum of the energy operator for atoms with fixed nuclei on subspaces corresponding to irreducible representations of a group of permutations. Zbl 0201.45401 Zhislin, G. M.; Sigalov, A. G. 1 1970 Untersuchung des Spektrums von Differentialoperatoren quantenmechanischer Systeme vieler Teilchen in Räumen von Funktionen gegebener Symmetrie. Zbl 0182.18701 Zhislin, G. M. 1 1969 Über das Spektrum des Energieoperators für Atome mit ruhenden Kernen auf Unterräumen, die irreduziblen Darstellungen der Permutationsgruppe entsprechen. Zbl 0138.39304 Zhislin, G. M.; Sigalov, A. G. 5 1965 Untersuchung des Spektrums des Schrödingerschen Operators für Systeme von vielen Teilchen. Zbl 0121.10004 Zhislin, G. M. 6 1960 A characteristic of the spectrum of Schrödinger’s operator for systems of molecular type. Zbl 0104.07801 Zhislin, G. M. 1 1959 On the existence of characteristic functions for Schrödinger’s equation. Zbl 0084.30802 Zhislin, G. M. 1 1958 all cited Publications top 5 cited Publications all top 5 Cited by 63 Authors 10 Vugal’ter, Semën Abramovich 8 Zhislin, Grigoriĭ M. 4 Lakaev, Saidakhmat Norzhigitovich 3 Barth, Simon 3 Bitter, Andreas 3 Hundertmark, Dirk 3 Lewin, Mathieu 3 Lewis, Roger T. 2 Abdullaev, Janikul I. 2 Albeverio, Sergio A. 2 Barbaroux, Jean-Marie 2 Dell’Antonio, Gian Fausto 2 Evans, William Desmond 2 Figari, Rodolfo 2 Rasulov, Tulkin Khusenovich 2 Ruskai, Mary Beth 2 Saitō, Yoshimi 2 Sigal, Israel Michael 2 Teta, Alessandro 2 Vougalter, Vitali 2 Wang, Xueping 1 Alladustov, Sh. U. 1 Anapolitanos, Ioannis 1 Argaez, Carlos 1 Badalyan, Mariam 1 Basti, Giulia 1 Bozorov, Islom Namozovich 1 Cancès, Eric 1 Chen, Thomas 1 Eshkabilov, Yusup Khalbaevich 1 Froese, Richard 1 Gautschi, Walter 1 Gérard, Christian 1 Gridnev, Dmitry K. 1 Hartig, Michael C. 1 Herbst, Ira W. 1 Jex, Michal 1 Jörgens, Konrad 1 Kholmatov, Shokhrukh Yusufovich 1 Kucharov, Ramziddin R. 1 Kurbanov, Sh. Kh. 1 Łaba, Izabella 1 Landis, Evgenii Mikhailovich 1 Lange, Markus 1 Last, Yoram 1 Maday, Yvon 1 Mamirov, B. U. 1 Matijchuk, Mikhail Ivanovich 1 Melgaard, Michael 1 Muminov, Mukhiddin Èshkobilovich 1 Muminov, Zahriddin Ishkobilovich 1 Phan Thành Nam 1 Pukal’s’kyĭ, Ivan D. 1 Rakhmonov, Askar Akhmadovich 1 Remizov, Ivan D. 1 Rougerie, Nicolas 1 Siedentop, Heinz Karl Heinrich 1 Simon, Barry 1 Stoltz, Gabriel 1 Tamura, Hideo 1 Wang, Yipeng 1 Wang, Yuefei 1 Yaglom, Isaak Moiseevich all top 5 Cited in 30 Serials 11 Theoretical and Mathematical Physics 6 Journal of Mathematical Physics 4 Communications in Mathematical Physics 4 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Archive for Rational Mechanics and Analysis 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Journal of Mathematical Sciences (New York) 1 Documenta Mathematica 1 Annales Henri Poincaré 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Modelling of Natural Phenomena 1 Analysis & PDE 1 Forum of Mathematics, Sigma 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Cited in 16 Fields 51 Quantum theory (81-XX) 28 Partial differential equations (35-XX) 24 Operator theory (47-XX) 8 Mechanics of particles and systems (70-XX) 3 Functional analysis (46-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year