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Publications in Math-Net.Ru |
Citations |
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2002 |
1. |
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 ; Izv. Math., 66:1 (2002), 71–102 |
6
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2000 |
2. |
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 ; Funct. Anal. Appl., 34:1 (2000), 64–66 |
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1999 |
3. |
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 ; Theoret. and Math. Phys., 121:2 (1999), 1506–1515 |
9
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1998 |
4. |
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 ; Funct. Anal. Appl., 32:2 (1998), 134–136 |
4
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1997 |
5. |
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 ; Theoret. and Math. Phys., 113:3 (1997), 1543–1558 |
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1996 |
6. |
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 ; Funct. Anal. Appl., 30:2 (1996), 129–131 |
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1993 |
7. |
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 ; St. Petersburg Math. J., 5:2 (1994), 317–332 |
2
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8. |
S. A. Vugal'ter, “The limit of stability of positive molecular ions in magnetic
fields”, Dokl. Akad. Nauk, 328:5 (1993), 562–563 ; Dokl. Math., 38:2 (1993), 60–61 |
9. |
S. A. Vugal'ter, “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 ; Funct. Anal. Appl., 27:2 (1993), 144–145 |
10. |
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 ; Theoret. and Math. Phys., 97:1 (1993), 1171–1185 |
7
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1992 |
11. |
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 |
1
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12. |
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 |
1
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13. |
S. A. Vugal'ter, “Absence of discrete spectrum of the Schrödinger operators of positive molecular ions”, TMF, 93:1 (1992), 94–106 ; Theoret. and Math. Phys., 93:1 (1992), 1142–1150 |
14. |
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 ; J. Math. Sci., 75:6 (1995), 2002–2010 |
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1991 |
15. |
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 ; St. Petersburg Math. J., 3:6 (1992), 1313–1349 |
6
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16. |
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 ; Dokl. Math., 36:4 (1991), 299–300 |
2
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17. |
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 ; Funct. Anal. Appl., 25:4 (1991), 299–301 |
1
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1990 |
18. |
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 |
19. |
S. A. Vugal'ter, “Asymptotic behavior of the eigenvalues of many-particle Hamiltonians on subspaces of functions of a given symmetry”, TMF, 83:2 (1990), 236–246 ; Theoret. and Math. Phys., 83:2 (1990), 502–510 |
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1988 |
20. |
S. A. Vugal'ter, G. M. Zhislin, “On the stability of $N$-particle systems”, TMF, 76:1 (1988), 132–142 ; Theoret. and Math. Phys., 76:1 (1988), 757–765 |
6
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1986 |
21. |
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 |
5
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1983 |
22. |
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 ; Theoret. and Math. Phys., 55:2 (1983), 493–502 |
6
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23. |
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 ; Theoret. and Math. Phys., 55:1 (1983), 357–365 |
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1982 |
24. |
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 |
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1981 |
25. |
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 |
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1980 |
26. |
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 ; Funct. Anal. Appl., 14:3 (1980), 221–222 |
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1978 |
27. |
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 |
28. |
S. A. Vugal'ter, “Discrete spectrum of multifrequency quantum systems possessing no stable subsystems”, Funktsional. Anal. i Prilozhen., 12:3 (1978), 74–75 ; Funct. Anal. Appl., 12:3 (1978), 220–221 |
2
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1977 |
29. |
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 ; Theoret. and Math. Phys., 32:1 (1977), 602–614 |
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1991 |
30. |
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 |
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