Zhislin Grigorii Moiseevich

Publications in Math-Net.Ru

1. 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
2. Discrete spectrum of Hamiltonians of some quantum system models
   
   TMF, 171:1 (2012),  44–64
3. The Pauli principle, stability, and bound states in systems of identical pseudorelativistic particles
   
   TMF, 157:1 (2008),  116–129
4. Stability of $n$-particle pseudorelativistic systems
   
   TMF, 152:3 (2007),  528–537
5. 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
6. On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account
   
   SIGMA, 2 (2006), 024, 9 pp.
7. The Hamiltonians of Pseudorelativistic Atoms with Finite-Mass Nuclei: The Structure of the Discrete Spectrum
   
   Funktsional. Anal. i Prilozhen., 38:2 (2004),  85–91
8. 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
9. On the discrete spectrum of Hamiltonians for pseudo-relativistic electrons
   
   Izv. RAN. Ser. Mat., 66:1 (2002),  71–102
10. Spectral Properties of Hamiltonians of Charged Systems in a Homogeneous Magnetic Field: I. General Characteristic of the Spectrum
    
    TMF, 133:1 (2002),  87–102
11. The Discrete Spectrum of the Hamiltonians of Atoms in a Homogeneous Magnetic Field
    
    Funktsional. Anal. i Prilozhen., 34:1 (2000),  80–83
12. Spectral properties of a pseudorelativistic system of two particles with finite masses
    
    TMF, 121:2 (1999),  297–306
13. Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. III
    
    TMF, 120:2 (1999),  291–308
14. Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomoment. II
    
    TMF, 118:1 (1999),  15–39
15. The Discrete Spectrum of a Many-Particle Pseudorelativistic Hamiltonian
    
    Funktsional. Anal. i Prilozhen., 32:2 (1998),  83–86
16. Spectral properties of Hamiltonians with magnetic field under fixation of pseudomomentum. I
    
    TMF, 113:3 (1997),  413–431
17. The essential spectrum of many-particle systems in magnetic fields
    
    Algebra i Analiz, 8:1 (1996),  127–136
18. Stability of Systems of a Large Number of Particles in Magnetic Fields
    
    Funktsional. Anal. i Prilozhen., 30:2 (1996),  70–73
19. Location of the essential spectrum of the energy operators of the quantum systems with nonincreasing magnetic field
    
    TMF, 107:3 (1996),  372–387
20. 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
21. Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a magnetic field
    
    TMF, 97:1 (1993),  94–112
22. 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
23. On the asymptotics of the discrete spectrum of given symmetry of multiparticle Hamiltonians
    
    Tr. Mosk. Mat. Obs., 54 (1992),  186–212
24. 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
25. 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
26. On the discrete spectrum of Hamiltonians of multiparticle systems in a homogeneous magnetic field
    
    Dokl. Akad. Nauk SSSR, 317:6 (1991),  1365–1369
27. 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
28. 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
29. On the stability of $N$-particle systems
    
    TMF, 76:1 (1988),  132–142
30. The spectrum of the Schrödinger operators of multiparticle systems with short-range potentials
    
    Tr. Mosk. Mat. Obs., 49 (1986),  95–112
31. Virtual levels of $n$-particle systems
    
    TMF, 68:2 (1986),  265–275
32. On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems
    
    TMF, 55:2 (1983),  269–281
33. On finiteness of the discrete spectrum of the energy operators of multiatomic molecules
    
    TMF, 55:1 (1983),  66–77
34. 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
35. Absence of Efimov's effect in the spaces of functions with a given symmetry
    
    Dokl. Akad. Nauk SSSR, 257:2 (1981),  324–326
36. Discrete spectrum of many-particle quantum systems not having stable subsystems. II
    
    Funktsional. Anal. i Prilozhen., 14:3 (1980),  69–70
37. The discrete spectrum of the $n$-particle quantum system energy operator
    
    Dokl. Akad. Nauk SSSR, 240:4 (1978),  817–820
38. Finiteness of the discrete spectrum of many-particle Hamiltonians in symmetry spaces
    
    TMF, 32:1 (1977),  70–87
39. 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
40. On a reduction in the investigation of the discrete spectrum of many- particle Hamiltonians
    
    Dokl. Akad. Nauk SSSR, 222:4 (1975),  761–764
41. Finiteness of the discrete spectrum in the quantum $n$-particle problem
    
    TMF, 21:1 (1974),  60–73
42. On the discrete spectrum of the Hamiltonian of an $n$-particle quantum system
    
    TMF, 16:2 (1973),  235–246
43. On the finiteness of the discrete spectrum of energy operators of multiparticle quantum systems
    
    Dokl. Akad. Nauk SSSR, 207:1 (1972),  25–28
44. On the finiteness of the discrete spectrum of the energy operator of negative atomic and molecular ions
    
    TMF, 7:3 (1971),  332–341
45. 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
46. Spectrum of molecular electron energy operators in spaces of functions of specified symmetry
    
    TMF, 1:2 (1969),  295–302
47. 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
48. A contribution to the theory of atomic spectra
    
    Dokl. Akad. Nauk SSSR, 163:2 (1965),  323–325
49. On certain mathematical problems of the theory of atomic spectra
    
    Izv. Akad. Nauk SSSR Ser. Mat., 29:6 (1965),  1261–1272
50. 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
51. On the mixed spectrum of certain higher-dimensional differential operators of quantum mechanics
    
    Dokl. Akad. Nauk SSSR, 157:6 (1964),  1329–1331
52. A condition for the discreteness of the negative spectrum of the Schrödinger opertor
    
    Uspekhi Mat. Nauk, 19:6(120) (1964),  155–160
53. On the nodes of the eigenfunctions of the Schrödinger operator
    
    Uspekhi Mat. Nauk, 16:1(97) (1961),  149–152
54. On the existence of a minimum of certain quadratic functionals in an unbounded region
    
    Tr. Mosk. Mat. Obs., 9 (1960),  121–128
55. A study of the spectrum of the Schrödinger operator for a system of several particles
    
    Tr. Mosk. Mat. Obs., 9 (1960),  81–120
56. On the spectrum of Schrödinger's operator
    
    Dokl. Akad. Nauk SSSR, 122:3 (1958),  331–334
57. On the existence of characteristic functions for Schrödinger's equation
    
    Dokl. Akad. Nauk SSSR, 117:6 (1957),  931–934


58. 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
59. Aleksandr Grigor'evich Sigalov (obituary)
    
    Uspekhi Mat. Nauk, 25:5(155) (1970),  227–234
60. 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