Diagonalization of the Dirac equation: An alternative approach

American Journal of Physics

Volumn 65, Issue 6, 1997, Pages 519-522

  Holstein, Barry R ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031508214     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18582     Document Type: Article

References (11)

1. See, e.g., B. R. Holstein, Topics in Advanced Quantum Mechanics (Addison-Wesley, Reading, MA, 1992).
2. J.-F. Malthiot, "Electromagnetic Meson-Exchange Currents at the Nucleon Mass Scale," Phys. Rep. 173, 63-172 (1989).
3. See, e.g., V. Bernard, N. Kaiser, J. Kambor, and U.-G. Meissner, "Chiral Structure of the Nucleon," Nucl. Phys. B 388, 315-45 (1992).
4. L. L. Foldy and S. A. Wouthuysen, "On the Dirac Theory of Spin 1/2 Particles and its Non-relativistic Limit," Phys. Rev. 78, 29-36 (1950); J. P. Costella and B. H. J. McKellar, "The Foldy-Wouthuysen Transformation," Am. J. Phys. 63, 1119-1121 (1995).
5. L. L. Foldy and S. A. Wouthuysen, "On the Dirac Theory of Spin 1/2 Particles and its Non-relativistic Limit," Phys. Rev. 78, 29-36 (1950); J. P. Costella and B. H. J. McKellar, "The Foldy-Wouthuysen Transformation," Am. J. Phys. 63, 1119-1121 (1995).
6. J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).
7. H. W. Fearing, G. I. Poulis, and S. Scherer, "Low Energy Compton Scattering by a Proton: Comparison of Effective Hamiltonians with Relativistic Corrections," Nucl. Phys. A 570, 686-700 (1994).
8. J. G. Körner and G. Thompson, "The Heavy Mass Limit in Field Theory and the Heavy Quark Theory," Phys. Lett. B 264, 185-192 (1991).
9. -1iγ·Du(x) and then substituting into Eq. (29).
10. T. Mannel, "Effective Theory for Heavy Quarks" (preprint).
11. T. R. Hemmert, B. R. Holstein, and J. Kambor, "Systematic 1/M Expansion for Spin 3/2 Particles in Baryon Chiral Perturbation Theory" (preprint).