Uniqueness of conserved currents in quantum mechanics

Annalen der Physik (Leipzig)

Volumn 12, Issue 7-8, 2003, Pages 446-462

  Holland, Peter ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Conserved quantum current; Dirac equation; Klein Gordon equation

Indexed keywords

CURRENT DENSITY; ELECTRIC CURRENTS; ELECTROMAGNETIC FIELDS; MAXWELL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING; WAVE EQUATIONS;

QUANTUM STATES;

QUANTUM THEORY;

EID: 0242415381     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/andp.200310022     Document Type: Article

References (22)

1. A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (Dover, New York, 1980).
2. P. Holland, Phys. Rev. A 60, 4326 (1999).
3. V. A. Fock, The Theory of Space, Time and Gravitation, 2nd revised ed. (Pergamon Press, Oxford, 1964) Sect. 31 and 31*, Appendices B and C.
4. P.R. Holland, Found. Phys. 28, 881 (1998).
5. E. Deotto and G. C. Ghirardi, Found. Phys. 28, 1 (1998).
6. L. de Broglie, Nonlinear Wave Mechanics (Elsevier, Amsterdam, 1960).
7. D. Bohm, Phys. Rev. 85, 166, 180 (1952).
8. P. R. Holland, The Quantum Theory of Motion (Cambridge University Press, Cambridge, 2000).
9. For further details of the Dirac equation and the γ matrices see A. Messiah, Quantum Mechanics, Vol. 2 (North-Holland, Amsterdam, 1961) Chap. 20.
10. T. Takabayasi, Suppl. Prog. Theor. Phys. 4, 1 (1957).
11. P.R. Holland, Found. Phys. 16, 701 (1986).
12. G. Horton, C. Dewdney, and A. Nesteruk, J. Phys. A: Math. Gen. 33, 7337 (2000); G. Horton and C. Dewdney, J. Phys. A: Math. Gen. 34, 9871 (2001).
13. G. Horton, C. Dewdney, and A. Nesteruk, J. Phys. A: Math. Gen. 33, 7337 (2000); G. Horton and C. Dewdney, J. Phys. A: Math. Gen. 34, 9871 (2001).
14. P. Holland and H. R. Brown, Studies in History and Philosophy of Modern Physics 34, 161 (2003).
15. R. Gurtler and D. Hestenes, J. Math. Phys. 16, 573 (1975); D. Hestenes, Am. J. Phys. 47, 399 (1979).
16. R. Gurtler and D. Hestenes, J. Math. Phys. 16, 573 (1975); D. Hestenes, Am. J. Phys. 47, 399 (1979).
17. C. G. Callan, S. Coleman, and R. Jackiw, Ann. Phys. (N.Y.) 59, 42 (1970) ; C. R. Hagen, Phys. Rev. A 5, 389 (1972).
18. C. G. Callan, S. Coleman, and R. Jackiw, Ann. Phys. (N.Y.) 59, 42 (1970) ; C. R. Hagen, Phys. Rev. A 5, 389 (1972).
19. S. R. de Groot and L. G. Suttorp, Foundations of Electrodynamics (North-Holland, Amsterdam, 1972), p. 300.
20. R.P. Feynman et al., The Feynman Lectures on Physics, vol. 2 (Reading MA, Addison-Wesley, 1965), Chap. 27.
21. R. Wald, Commun. Math. Phys. 54, 1 (1977); S. Fulling, Aspects of Quantum Field Theory in Curved Spacetime (Cambridge University Press, Cambridge, 1989).
22. R. Wald, Commun. Math. Phys. 54, 1 (1977); S. Fulling, Aspects of Quantum Field Theory in Curved Spacetime (Cambridge University Press, Cambridge, 1989).