Covariant phase observables in quantum mechanics

Journal of Mathematical Physics

Volumn 40, Issue 10, 1999, Pages 4688-4698

  Lahti, Pekka ^a   Pellonpää, Juha Pekka ^a  

^a UNIVERSITY OF TURKU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240826     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532998     Document Type: Article

References (14)

1. W. P. Schleich and S. M. Barnett (eds.), Quantum Phase and Phase Dependent Measurements, Phys. Scr. T48, (1993).
2. R. Lynch, "The quantum phase problem: A critical review," Phys. Rep. 256, 367-436 (1995).
3. D. A. Dubin, M. A. Hennings, and T. B. Smith, "Mathematical aspects of quantum phase," Int. J. Mod. Phys. B 9, 2597-2687 (1995).
4. E. B. Davies, Quantum Theory of Open Systems (Academic, London, 1976).
5. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
6. G. Ludwig, Foundations of Quantum Mechanics (Springer, Berlin, 1983), Vol. I.
7. P. Busch, M. Grabowski, and P. Lahti, Operational Quantum Physics (Springer, Berlin, 1997).
8. A. S. Holevo, "Generalized imprimitivity systems for Abelian groups," Sov. Math. (Iz. VUZ) 27, 53-80 (1983).
9. S. K. Berberian, Notes on Spectral Theory (Van Nostrand, Princeton, 1966).
10. W. Stulpe, Classical Representations of Quantum Mechanics (Wissenschaft & Technik, Berlin, 1997).
11. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products. Corrected and Enlarged Edition (Academic, New York, 1980).
12. H. Buchholz, The Confluent Hypergeometric Function (Springer, Berlin, 1969).
13. J. C. Garrison and J. Wong, "Canonically conjugate pairs, uncertainty relations, and phase operators," J. Math. Phys. 11, 2242-2249 (1970).
14. A. Galindo, "Phase and number," Lett. Math. Phys. 8, 495-500 (1984).