Positive energy bound state solutions in relativistic Coulomb potential-Reference-Cited by-同舟云学术

Positive energy bound state solutions in relativistic Coulomb potential

Published:1997-02 Issue:1 Volume:14 Page:39-50
ISSN:0916-7005
Container-title:Japan Journal of Industrial and Applied Mathematics
language:en
Short-container-title:Japan J. Indust. Appl. Math.

Author:

Tezuka Hirokazu

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Link

http://link.springer.com/content/pdf/10.1007/BF03167309.pdf

Reference9 articles.

1. H.A. Bethe and R.W. Jackiw, Intermediate Quantum Mechanics. Benjamin Cummings Pub. Comp., Menlo park 1986. V.S. Popv, On the properties of the discrete spectrum forZ close to 137. Soviet Phys. JETP,33 (1971), 665–673.

2. H.A. Bethe and E.E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms. Springer-Verlag, Berlin, 1957. J.D. Bjorken and S.D. Drell, Relativistic Quantum Mechanics. McGraw-Hill Book Co., New York 1964. C. Itzykson and J.-B. Zuber, Quantum Field Theory. McGraw-Hill Book Co., New York, 1985. M.E. Rose, Relativistic Electron Theory. John Wiley and Sons, Inc., New York, 1961.

3. H. Brysk and P.F. Zweifel, Possible bound states of repulsive potentials. Phys. Rev., C23 (1981), 968–972. A. Messiah, Quantum Mechanics. North-Holland, Amsterdam, 1962.

4. F.A.B. Coutinho, Y. Nogami and J.F. Perez, Self-adjoint extentions of the Hamiltonian for a charged particle in the presence of a thread of magnetic flux. Phys. Rev., A46 (1992), 6052–6055. F.A.B. Coutinho, Y. Nogami J.F. Perez and F.M., Toyama, Self-adjoint extentions of the Hamiltonian for a charged spin-1/2 particle in the Aharonov-Bohm field. J. Phys. A,27 (1994), 6539–6550. M. Klaus and R. Wüst, Spectral properties of Dirac, operators with singular potentials. J. Math. Anal. Appl.,72 (1979), 206–214. U.-W. Schmincke, Essential selfadjointness of Dirac operators with a strongly singular potential. Math. Z.,126 (1972), 71–81. U.-W. Schmincke, Distinguished selfadjoint extentions of Dirac operators. Math. Z.,129 (1972), 335–349. R. Wüst, Distinguished self-adjoint extentions of Dirac operators, constructed by means of cut-off potentials. Math. Z.,141 (1975), 93–98.

5. W. Greiner, Relativistic Quantum Mechanics. Springer-Verlag, Berlin, 1990.

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