On the discrete spectrum of Hamiltonians for pseudo-relativistic electrons

Izvestiya Mathematics

Volumn 66, Issue 1, 2002, Pages 71-102

  Zhislin, G M ^a   Vugal'ter, S A ^a  

^a LOBACHEVSKY STATE UNIVERSITY OF NIZHNY NOVGOROD   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3142752791     PISSN: 10645632     EISSN: 14684810     Source Type: Journal    
DOI: 10.1070/IM2002v066n01ABEH000372     Document Type: Article

References (12)

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2. R. T. Lewis, H. Siedentop, and S. Vugalter, "The essential spectrum of relativistic multiparticle operators", Ann. Inst. Henri Poincaré Phys. Theor. 67:1 (1997), 1-28.
3. S.A. Vugal'ter and G. M. Zhislin, "The discrete spectrum of a multiparticle pseudorelativistic Hamiltonian", Funkts. Anal. Prilozhen. 32:2 (1998), 83-86;
4. English transl., Funct. Anal. Appl. 32 (1998), 134-136.
5. G.M. Zhislin and S.A. Vugal'ter, "Spectral properties of a pseudorelativistic system of two particles with finite masses", Teor. Mat. Fiz. 121:2 (1999), 297-306;
6. English transl., Theor. Math. Phys. 121 (1999), 1506-1515.
7. S.A. Vugal'ter and G.M. Zhislin, "On the asymptotics of the discrete spectrum of a given symmetry of multiparticle Hamiltonians", Trudy Moskov. Mat. Obshch. 54 (1992), 186-212;
8. English transl., Trans. Moscow Math. Soc. (1993), 165-189.
9. M. A. Antonets, G. M. Zhislin, and I. A. Shereshevskii, "The discrete spectrum of multiparticle Hamiltonians", K. Jörgens and I. Weidmann, The spectral properties of Hamiltonian operators, Springer, Heidelberg 1973; Russian transl., Mir, Moscow 1976.
10. R. Carmona, W. C. Masters, and B. Simon, "Relativistic Schrödinger operators: asymptotic behavior of the eigenfunctions", J. Funct. Anal. 91:1 (1990), 117-142.
11. G.M. Zhislin, "On the nodes of eigenfunctions of the Schödinger operator", Uspekhi Mat. Nauk 14:1 (1961), 149-152. (Russian)
12. H. Batemau and A. Erdelyi, Higher Transcendental Functions, vol. 2, McGraw-Hill, New York-Toronto-London 1953; Russian transl., Nauka, Moscow 1974.