The generalized representation of particle localization in quantum mechanics

Foundations of Physics

Volumn 32, Issue 4, 2002, Pages 503-530

  Melloy, G F ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Dirac particle; Localization; Quantum mechanics

Indexed keywords

EID: 0036296665     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015080215317     Document Type: Article

References (21)

1. P. A. M. Dirac, The Principles of Quantum Mechanics, 4th edn. (Clarendon, Oxford, 1958).
2. G. C. Hegerfeldt, Phys. Rev. Lett. 54, 2395 (1985).
3. A. O. Barut and S. Malin, Rev. Mod. Phys. 40, 632-650 (1968).
4. E. P. Wigner and R. F. O'Connell, Phys. Lett. A 67, 319 (1978).
5. L. L. Foldy and Wouthuysen, Phys. Rev. 78, 29 (1950).
6. T. D. Newton and E. P. Wigner, Rev. Mod. Phys. 21, 400 (1949).
7. J. M. Knight, J. Math. Phys. 2, 459 (1964).
8. A. L. Licht, J. Math. Phys. 4, 1443 (1963).
9. R. Haag, Local Quantum Physics (Springer, New York, 1992).
10. A. J. Bracken and G. F. Melloy, J. Phys. A 32, 6127 (1999).
11. G. F. Melloy, Ph.D. thesis (University of Queensland, 2001).
12. R. V. Churchill, Fourier Series and Boundary Value Problems (McGraw-Hill, New York, 1969).
13. Mathematica Version 2 (Wolfram Research, Champaign, Illinois, 1991).
14. I. Halperin, Introduction to the Theory of Distributions (University of Toronto Press, Toronto, 1952).
15. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, 1958).
16. I. M. Gel'fand and G. E. Shilov, Generalized Functions (Academic, New York, 1968).
17. D. S. Jones, The Theory of Generalized Functions (Cambridge University Press, Cambridge, 1982).
18. S. G. Gindikin and L. R. Volevich, Distributions and Convolution Equations (Gordon & Breach, Philadelphia, 1992).
19. R. N. Braceweli, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1965).
20. A. Böhm, Quantum Mechanics (Springer, New York, 1979).
21. E. J. Borowski and J. M. Borwein, Dictionary of Mathematics (Collins, Glasgow, 1989).