Positive operator valued measures covariant with respect to an Abelian group

Journal of Mathematical Physics

Volumn 45, Issue 1, 2004, Pages 418-433

  Cassinelli, G ^a   De Vito, E ^b,c   Toigo, A ^a  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^c INFN SEZIONE DI GENOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346671128     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1631081     Document Type: Article

References (14)

1. Ali, S. T., Antoine, J.-P. and Gazeau, J.-P., Coherent States, Wavelets and their Generalizations (Springer-Verlag, New York, 2000).
2. Busch, P., Grabowski, M., and Lahti, P., Operational Quantum Physics (Springer-Verlag, Berlin, 1997).
3. Cassinelli, G., De Vito, E., Lahti, P., and Pellonpää, J. P., "Covariant localizations in the torus and the phase observables," J. Math. Phys. 43, 693-704 (2002).
4. Cassinelli, G., and De Vito, E., "Square-integrability modulo a subgroup," Trans. Am. Math. Soc. 355, 1443-1465 (2002).
5. Cattaneo, U., "On Mackey's imprimitivity theorem," Commun. Math. Helv. 54, 629-641 (1979).
6. Davies, E., Quantum Theory of Open Systems (Academic, London, 1976).
7. Dieudonné, J., Elements d'analyse, Vol. 6 (Gauthiers-Villars, Paris, 1975).
8. Folland, G. B., A Course in Abstract Armonic Analysis (CRC, Boca Raton, 1995).
9. Heinonen, T., Lahti, P., and Pellonpää, J. P., "Covariant phase difference observables in quantum mechanics," J. Math. Phys. 44, 446-479 (2003).
10. Helstrom, C., Quantum Detection and Estimation Theory (Academic, New York, 1976).
11. Holevo, A. S., "Generalized imprimitivity systems for Abelian groups," Izv. Vyssh. Uchebn. Zaved., Mat. 27 (2), 53-80 (1983).
12. Holevo, A. S., "On a generalization of canonical quantization, " Math. USSR, Izv. 28 (1), 175-188 (1987).
13. Holevo, A., Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
14. Ludwig, G., Foundation of Quantum Mechanics Vol. I (Springer-Verlag, Berlin, 1983).