Spectral comparison theorem for the dirac equation

Physical Review Letters

Volumn 83, Issue 3, 1999, Pages 468-471

  Hall, Richard L ^a  

^a Dept of Electrical and Computer Engineering   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243646713     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.83.468     Document Type: Article

References (14)

1. M. Reed and B. Simon, Methods of Modern Mathematical Physics IV: Analysis of Operators (Academic, New York, 1978). The min-max principle for the discrete spectrum is discussed on p. 75.
2. W. Thirring, A Course in Mathematical Physics 3: Quantum Mechanics of Atoms and Molecules (Springer, New York, 1981). The min-max principle for the discrete spectrum is discussed on p. 152.
3. M. E. Rose and R. R. Newton, Phys. Rev., 82, 470 (1951).
4. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1961), Vol. II. The Dirac equation for the Coulomb problem is discussed on p. 930.
5. M. E. Rose, Relativistic Electron Theory, (J. Wiley, New York, 1961). The Dirac equation for central fields is discussed on p. 159.
6. W. Greiner, The nonmonotone dependence of the energy on coupling to a scalar potential in one dimension is shown on p. 168.
7. H. Hellmann, Acta Physicochim. URSS I, 6, 913 (1935).
8. H. Hellmann, Acta Physicochim. URSS IV, 2, 225 (1936).
9. H. Hellmann, Einfürung in die Quantenchemie (F. Denticke, Leipzig, 1937), p. 286.
10. R. P. Feynman, Phys. Rev., 56, 340 (1939).
11. C. H. Mehta and S. H. Patil, Phys. Rev. A, 17, 34 (1978).
12. R. L. Hall, Phys. Rev. A, 32, 14 (1985).
13. R. L. Hall, J. Phys. A, 19, 2079 (1986).
14. W. Pieper and W. Greiner, Z. Phys., 218, 327 (1969).