About maximally localized states in quantum mechanics

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 12, 2002, Pages

  Detournay, S ^a   Gabriel, C ^a   Spindel, Ph ^a  

^a UNIVERSITY OF MONS   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; MATHEMATICAL ANALYSIS; QUANTUM MECHANICS; ROTATION; SPACE;

EID: 0037116064     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.125004     Document Type: Article

References (18)

1. A. Kempf, J. Math. Phys. 35, 4483 (1994).
2. A. Kempf, G. Mangano, and R. Mann, Phys. Rev. D 52, 1108 (1995).
3. A. Kempf, J. Math. Phys. 38, 1347 (1997).
4. P.K. Townsend, Phys. Rev. D 15, 2795 (1976);
5. D. Amati, M. Cialfaloni, and G. Veneziano, Phys. Lett. B 216, 41 (1989);
6. F. Lizzi and N. Mavromatos, Phys. Rev. D 55, 7859 (1997).
7. L. Garay, Int. J. Mod. Phys. A 10, 145 (1995).
8. A. Kempf and G. Mangano, Phys. Rev. D 55, 7909 (1997).
9. A. Kempf, Phys. Rev. D 63, 083514 (2001).
10. A. Kempf and J.C. Niemeyer, Phys. Rev. D 64, 103501 (2001).
11. F. Riesz and B. Sz-Nagy, Leçons d’Analyse Fonctionnelle (Gauthier-Villars, Paris, 1955), Sect. 119.
12. L. Landau, and E. Lifchitz, Quantum Mechanics (Pergamon Press, London, 1959), Chap. 6.
13. R. Brout, Cl. Gabriel, M. Lubo, and Ph. Spindel, Phys. Rev. D 59, 044005 (1999).
14. R. Brout (private communication).
15. A. Kempf, J. Phys. A 30, 2093 (1997).
16. G.N. Watson, Theory of Bessel Functions (Cambridge University Press, Cambridge, England, 1966), Chap. 15.
17. A. Kempf, Phys. Rev. D 63, 024017 (2001).
18. R. Jackiw, J. Math. Phys. 9, 339 (1968).