Vugal'ter Semen Abramovich

Publications in Math-Net.Ru

1. On the discrete spectrum of Hamiltonians for pseudo-relativistic electrons
   
   Izv. RAN. Ser. Mat., 66:1 (2002),  71–102
2. The Discrete Spectrum of the Hamiltonians of Atoms in a Homogeneous Magnetic Field
   
   Funktsional. Anal. i Prilozhen., 34:1 (2000),  80–83
3. Spectral properties of a pseudorelativistic system of two particles with finite masses
   
   TMF, 121:2 (1999),  297–306
4. The Discrete Spectrum of a Many-Particle Pseudorelativistic Hamiltonian
   
   Funktsional. Anal. i Prilozhen., 32:2 (1998),  83–86
5. Spectral properties of Hamiltonians with magnetic field under fixation of pseudomomentum. I
   
   TMF, 113:3 (1997),  413–431
6. Stability of Systems of a Large Number of Particles in Magnetic Fields
   
   Funktsional. Anal. i Prilozhen., 30:2 (1996),  70–73
7. 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
8. The limit of stability of positive molecular ions in magnetic fields
   
   Dokl. Akad. Nauk, 328:5 (1993),  562–563
9. On the Finiteness of the Discrete Spectrum of the Schrödinger Operator for a Three-Particle System with Unstable Two-Particle Subsystems in a Homogeneous Magnetic Field
   
   Funktsional. Anal. i Prilozhen., 27:2 (1993),  83–84
10. Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a magnetic field
    
    TMF, 97:1 (1993),  94–112
11. 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
12. On the asymptotics of the discrete spectrum of given symmetry of multiparticle Hamiltonians
    
    Tr. Mosk. Mat. Obs., 54 (1992),  186–212
13. Absence of discrete spectrum of the Schrödinger operators of positive molecular ions
    
    TMF, 93:1 (1992),  94–106
14. 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
15. 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
16. On the discrete spectrum of Hamiltonians of multiparticle systems in a homogeneous magnetic field
    
    Dokl. Akad. Nauk SSSR, 317:6 (1991),  1365–1369
17. 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
18. 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
19. Asymptotic behavior of the eigenvalues of many-particle Hamiltonians on subspaces of functions of a given symmetry
    
    TMF, 83:2 (1990),  236–246
20. On the stability of $N$-particle systems
    
    TMF, 76:1 (1988),  132–142
21. The spectrum of the Schrödinger operators of multiparticle systems with short-range potentials
    
    Tr. Mosk. Mat. Obs., 49 (1986),  95–112
22. On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems
    
    TMF, 55:2 (1983),  269–281
23. On finiteness of the discrete spectrum of the energy operators of multiatomic molecules
    
    TMF, 55:1 (1983),  66–77
24. 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
25. Absence of Efimov's effect in the spaces of functions with a given symmetry
    
    Dokl. Akad. Nauk SSSR, 257:2 (1981),  324–326
26. Discrete spectrum of many-particle quantum systems not having stable subsystems. II
    
    Funktsional. Anal. i Prilozhen., 14:3 (1980),  69–70
27. The discrete spectrum of the $n$-particle quantum system energy operator
    
    Dokl. Akad. Nauk SSSR, 240:4 (1978),  817–820
28. Discrete spectrum of multifrequency quantum systems possessing no stable subsystems
    
    Funktsional. Anal. i Prilozhen., 12:3 (1978),  74–75
29. Finiteness of the discrete spectrum of many-particle Hamiltonians in symmetry spaces
    
    TMF, 32:1 (1977),  70–87


30. 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