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Zhislin, Grigorii Moiseevich

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Total publications: 60
Scientific articles: 57

Number of views:
This page:974
Abstract pages:10574
Full texts:4380
References:1084
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https://mathscinet.ams.org/mathscinet/MRAuthorID/200920

Publications in Math-Net.Ru
2015
1. G. M. Zhislin, “On the discrete spectrum of the Hamiltonians of $n$-particle systems with $n\to\infty$ in function spaces with various permutation symmetries”, Funktsional. Anal. i Prilozhen., 49:2 (2015),  85–88  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 49:2 (2015), 148–150  isi  elib  scopus
2012
2. G. M. Zhislin, “Discrete spectrum of Hamiltonians of some quantum system models”, TMF, 171:1 (2012),  44–64  mathnet  mathscinet  elib; Theoret. and Math. Phys., 171:1 (2012), 458–477  isi  elib  scopus
2008
3. G. M. Zhislin, “The Pauli principle, stability, and bound states in systems of identical pseudorelativistic particles”, TMF, 157:1 (2008),  116–129  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 157:1 (2008), 1461–1473  isi  scopus
2007
4. G. M. Zhislin, “Stability of $n$-particle pseudorelativistic systems”, TMF, 152:3 (2007),  528–537  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 152:3 (2007), 1322–1330  isi  scopus
2006
5. G. M. Zhislin, “Spectra of Hamiltonians of Molecule Pseudorelativistic Electrons in Spaces of Functions with Permutational and Point Symmetry”, Funktsional. Anal. i Prilozhen., 40:2 (2006),  65–69  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 40:2 (2006), 134–138  isi  elib  scopus
6. Grigorii Zhislin, “On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account”, SIGMA, 2 (2006), 024, 9 pp.  mathnet  mathscinet  zmath  isi  scopus
2004
7. G. M. Zhislin, “The Hamiltonians of Pseudorelativistic Atoms with Finite-Mass Nuclei: The Structure of the Discrete Spectrum”, Funktsional. Anal. i Prilozhen., 38:2 (2004),  85–91  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 38:2 (2004), 151–156  isi  scopus
2003
8. G. M. Zhislin, “Spectral Properties of Hamiltonians of Charged Systems in a Homogeneous Magnetic Field: II. The Structure of the Pure Point Spectrum”, TMF, 134:2 (2003),  273–288  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 134:2 (2003), 240–253  isi
2002
9. G. M. Zhislin, S. A. Vugal'ter, “On the discrete spectrum of Hamiltonians for pseudo-relativistic electrons”, Izv. RAN. Ser. Mat., 66:1 (2002),  71–102  mathnet  mathscinet  zmath  elib; Izv. Math., 66:1 (2002), 71–102  scopus
10. G. M. Zhislin, “Spectral Properties of Hamiltonians of Charged Systems in a Homogeneous Magnetic Field: I. General Characteristic of the Spectrum”, TMF, 133:1 (2002),  87–102  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 133:1 (2002), 1390–1405  isi
2000
11. S. A. Vugal'ter, G. M. Zhislin, “The Discrete Spectrum of the Hamiltonians of Atoms in a Homogeneous Magnetic Field”, Funktsional. Anal. i Prilozhen., 34:1 (2000),  80–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 34:1 (2000), 64–66  isi
1999
12. S. A. Vugal'ter, G. M. Zhislin, “Spectral properties of a pseudorelativistic system of two particles with finite masses”, TMF, 121:2 (1999),  297–306  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 121:2 (1999), 1506–1515  isi
13. G. M. Zhislin, “Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. III”, TMF, 120:2 (1999),  291–308  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 120:2 (1999), 1058–1073  isi
14. G. M. Zhislin, “Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomoment. II”, TMF, 118:1 (1999),  15–39  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 118:1 (1999), 12–31  isi
1998
15. S. A. Vugal'ter, G. M. Zhislin, “The Discrete Spectrum of a Many-Particle Pseudorelativistic Hamiltonian”, Funktsional. Anal. i Prilozhen., 32:2 (1998),  83–86  mathnet  mathscinet  zmath; Funct. Anal. Appl., 32:2 (1998), 134–136  isi
1997
16. S. A. Vugal'ter, G. M. Zhislin, “Spectral properties of Hamiltonians with magnetic field under fixation of pseudomomentum. I”, TMF, 113:3 (1997),  413–431  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 113:3 (1997), 1543–1558  isi
1996
17. G. M. Zhislin, “The essential spectrum of many-particle systems in magnetic fields”, Algebra i Analiz, 8:1 (1996),  127–136  mathnet  mathscinet  zmath; St. Petersburg Math. J., 8:1 (1997), 97–104
18. S. A. Vugal'ter, G. M. Zhislin, “Stability of Systems of a Large Number of Particles in Magnetic Fields”, Funktsional. Anal. i Prilozhen., 30:2 (1996),  70–73  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 30:2 (1996), 129–131  isi
19. G. M. Zhislin, “Location of the essential spectrum of the energy operators of the quantum systems with nonincreasing magnetic field”, TMF, 107:3 (1996),  372–387  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 107:3 (1996), 720–732  isi
1993
20. S. A. Vugal'ter, G. M. Zhislin, “Spectral asymptotics of $N$-particle Schrödinger operators with a homogeneous magnetic field on subspaces with fixed $SO(2)$ symmetry”, Algebra i Analiz, 5:2 (1993),  108–125  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:2 (1994), 317–332
21. S. A. Vugal'ter, G. M. Zhislin, “Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a magnetic field”, TMF, 97:1 (1993),  94–112  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 97:1 (1993), 1171–1185  isi
1992
22. S. A. Vugal'ter, G. M. Zhislin, “On the spectrum of Schrödinger operator for $3$-particle system without $2$-particle stable subsystems in homogeneous magnetic field”, Dokl. Akad. Nauk, 322:2 (1992),  281–283  mathnet
23. S. A. Vugal'ter, G. M. Zhislin, “On the asymptotics of the discrete spectrum of given symmetry of multiparticle Hamiltonians”, Tr. Mosk. Mat. Obs., 54 (1992),  186–212  mathnet  mathscinet  zmath
24. S. A. Vugal'ter, G. M. Zhislin, “On the discrete-spectrum of the given $SO(2)$ symmetry of many-particle systems with the potential field and the homogeneous magnetic field”, Zap. Nauchn. Sem. LOMI, 197 (1992),  28–41  mathnet  mathscinet  zmath; J. Math. Sci., 75:6 (1995), 2002–2010
1991
25. S. A. Vugal'ter, G. M. Zhislin, “Asymptotics of the discrete spectrum of Hamiltonians of many-particle quantum systems in a homogeneous magnetic field”, Algebra i Analiz, 3:6 (1991),  119–154  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:6 (1992), 1313–1349
26. S. A. Vugal'ter, G. M. Zhislin, “On the discrete spectrum of Hamiltonians of multiparticle systems in a homogeneous magnetic field”, Dokl. Akad. Nauk SSSR, 317:6 (1991),  1365–1369  mathnet  mathscinet; Dokl. Math., 36:4 (1991), 299–300
27. S. A. Vugal'ter, G. M. Zhislin, “Discrete spectrum of a given symmetry of the Schrödinger operator of an $n$-particle system in a homogeneous magnetic field”, Funktsional. Anal. i Prilozhen., 25:4 (1991),  83–86  mathnet  mathscinet  zmath; Funct. Anal. Appl., 25:4 (1991), 299–301  isi
1990
28. S. A. Vugal'ter, G. M. Zhislin, “Exact asymptotic behavior of the discrete spectrum of the $n$-particle Schrödinger operator in symmetry space”, Dokl. Akad. Nauk SSSR, 312:2 (1990),  339–342  mathnet  mathscinet  zmath
1988
29. S. A. Vugal'ter, G. M. Zhislin, “On the stability of $N$-particle systems”, TMF, 76:1 (1988),  132–142  mathnet  mathscinet; Theoret. and Math. Phys., 76:1 (1988), 757–765  isi
1986
30. S. A. Vugal'ter, G. M. Zhislin, “The spectrum of the Schrödinger operators of multiparticle systems with short-range potentials”, Tr. Mosk. Mat. Obs., 49 (1986),  95–112  mathnet  mathscinet  zmath
31. G. M. Zhislin, “Virtual levels of $n$-particle systems”, TMF, 68:2 (1986),  265–275  mathnet  mathscinet; Theoret. and Math. Phys., 68:2 (1986), 815–823  isi
1983
32. S. A. Vugal'ter, G. M. Zhislin, “On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems”, TMF, 55:2 (1983),  269–281  mathnet  mathscinet; Theoret. and Math. Phys., 55:2 (1983), 493–502  isi
33. S. A. Vugal'ter, G. M. Zhislin, “On finiteness of the discrete spectrum of the energy operators of multiatomic molecules”, TMF, 55:1 (1983),  66–77  mathnet  mathscinet; Theoret. and Math. Phys., 55:1 (1983), 357–365  isi
1982
34. S. A. Vugal'ter, G. M. Zhislin, “On the discrete spectrum of Schrödinger operators of many-particle systems with two-particle virtual levels”, Dokl. Akad. Nauk SSSR, 267:4 (1982),  784–786  mathnet  mathscinet  zmath
1981
35. S. A. Vugal'ter, G. M. Zhislin, “Absence of Efimov's effect in the spaces of functions with a given symmetry”, Dokl. Akad. Nauk SSSR, 257:2 (1981),  324–326  mathnet  mathscinet  zmath
1980
36. S. A. Vugal'ter, G. M. Zhislin, “Discrete spectrum of many-particle quantum systems not having stable subsystems. II”, Funktsional. Anal. i Prilozhen., 14:3 (1980),  69–70  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:3 (1980), 221–222  isi
1978
37. S. A. Vugal'ter, G. M. Zhislin, “The discrete spectrum of the $n$-particle quantum system energy operator”, Dokl. Akad. Nauk SSSR, 240:4 (1978),  817–820  mathnet  mathscinet
1977
38. S. A. Vugal'ter, G. M. Zhislin, “Finiteness of the discrete spectrum of many-particle Hamiltonians in symmetry spaces”, TMF, 32:1 (1977),  70–87  mathnet  mathscinet; Theoret. and Math. Phys., 32:1 (1977), 602–614
1976
39. M. A. Antonets, G. M. Zhislin, I. A. Shereshevskii, “On the infiniteness of the discrete spectrum of the energy operator of a system of $n$ particles”, Mat. Sb. (N.S.), 99(141):1 (1976),  34–48  mathnet  mathscinet  zmath; Math. USSR-Sb., 28:1 (1976), 27–39  isi
1975
40. M. A. Antonets, G. M. Zhislin, I. A. Shereshevskii, “On a reduction in the investigation of the discrete spectrum of many- particle Hamiltonians”, Dokl. Akad. Nauk SSSR, 222:4 (1975),  761–764  mathnet  mathscinet  zmath
1974
41. G. M. Zhislin, “Finiteness of the discrete spectrum in the quantum $n$-particle problem”, TMF, 21:1 (1974),  60–73  mathnet  mathscinet; Theoret. and Math. Phys., 21:1 (1974), 971–980
1973
42. M. A. Antonets, G. M. Zhislin, I. A. Shereshevskii, “On the discrete spectrum of the Hamiltonian of an $n$-particle quantum system”, TMF, 16:2 (1973),  235–246  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 16:2 (1973), 800–809
1972
43. G. M. Zhislin, “On the finiteness of the discrete spectrum of energy operators of multiparticle quantum systems”, Dokl. Akad. Nauk SSSR, 207:1 (1972),  25–28  mathnet  mathscinet  zmath
1971
44. G. M. Zhislin, “On the finiteness of the discrete spectrum of the energy operator of negative atomic and molecular ions”, TMF, 7:3 (1971),  332–341  mathnet  zmath; Theoret. and Math. Phys., 7:3 (1971), 571–578
1969
45. G. M. Zhislin, “Spectrum of differential operators of quantum-mechanical many-particle systems in spaces of functions of a given symmetry”, Izv. Akad. Nauk SSSR Ser. Mat., 33:3 (1969),  590–649  mathnet  mathscinet  zmath; Math. USSR-Izv., 3:3 (1969), 559–616
46. G. M. Zhislin, E. L. Mandel', “Spectrum of molecular electron energy operators in spaces of functions of specified symmetry”, TMF, 1:2 (1969),  295–302  mathnet  mathscinet; Theoret. and Math. Phys., 1:2 (1969), 227–232
1967
47. G. M. Zhislin, “Spectrum of the energy operator of molecule type systems on spaces of functions with given symmetry”, Dokl. Akad. Nauk SSSR, 175:3 (1967),  521–524  mathnet  mathscinet  zmath
1965
48. G. M. Zhislin, A. G. Sigalov, “A contribution to the theory of atomic spectra”, Dokl. Akad. Nauk SSSR, 163:2 (1965),  323–325  mathnet  zmath
49. G. M. Zhislin, A. G. Sigalov, “On certain mathematical problems of the theory of atomic spectra”, Izv. Akad. Nauk SSSR Ser. Mat., 29:6 (1965),  1261–1272  mathnet  mathscinet  zmath
50. G. M. Zhislin, A. G. Sigalov, “The spectrum of the energy operator for atoms with fixed nuclei on subspaces corresponding to irreducible representations of the group of permutations”, Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965),  835–860  mathnet  mathscinet  zmath
1964
51. G. M. Zhislin, A. G. Sigalov, “On the mixed spectrum of certain higher-dimensional differential operators of quantum mechanics”, Dokl. Akad. Nauk SSSR, 157:6 (1964),  1329–1331  mathnet  mathscinet
52. G. M. Zhislin, “A condition for the discreteness of the negative spectrum of the Schrödinger opertor”, Uspekhi Mat. Nauk, 19:6(120) (1964),  155–160  mathnet  mathscinet  zmath
1961
53. G. M. Zhislin, “On the nodes of the eigenfunctions of the Schrödinger operator”, Uspekhi Mat. Nauk, 16:1(97) (1961),  149–152  mathnet  mathscinet  zmath
1960
54. E. F. Zhizhenkova, G. M. Zhislin, “On the existence of a minimum of certain quadratic functionals in an unbounded region”, Tr. Mosk. Mat. Obs., 9 (1960),  121–128  mathnet  mathscinet  zmath
55. G. M. Zhislin, “A study of the spectrum of the Schrödinger operator for a system of several particles”, Tr. Mosk. Mat. Obs., 9 (1960),  81–120  mathnet  mathscinet  zmath
1958
56. G. M. Zhislin, “On the spectrum of Schrödinger's operator”, Dokl. Akad. Nauk SSSR, 122:3 (1958),  331–334  mathnet  mathscinet  zmath
1957
57. G. M. Zhislin, “On the existence of characteristic functions for Schrödinger's equation”, Dokl. Akad. Nauk SSSR, 117:6 (1957),  931–934  mathnet  mathscinet  zmath

1991
58. S. A. Vugal'ter, G. M. Zhislin, “Erratum: “On the discrete spectrum of Hamiltonians of multiparticle systems in a homogeneous magnetic field” (Dokl. Akad. Nauk SSSR, 317 (1991), № 6, 1365–1369)”, Dokl. Akad. Nauk SSSR, 318:5 (1991),  1032  mathnet  mathscinet
1970
59. O. N. Golovin, G. M. Zhislin, A. S. Kronrod, E. M. Landis, L. A. Lyusternik, G. E. Shilov, “Aleksandr Grigor'evich Sigalov (obituary)”, Uspekhi Mat. Nauk, 25:5(155) (1970),  227–234  mathnet  mathscinet  zmath; Russian Math. Surveys, 25:5 (1970), 225–232
1961
60. G. M. Zhislin, “Correction to the article “A study of the spectrum of the Schrödinger operator for a system of several particles” (Trudy Mosk. Matem. Ob-va 9 (1960))”, Tr. Mosk. Mat. Obs., 10 (1961),  437  mathnet

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