Are number and phase complementary observables?

Journal of Physics A: Mathematical and General

Volumn 34, Issue 30, 2001, Pages 5923-5935

  Busch, P ^a   Lahti, P ^b   Pellonpaa J P ^b   Ylinen, K ^b  

^a UNIVERSITY OF HULL   (United Kingdom)

^b UNIVERSITY OF TURKU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035800725     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/30/304     Document Type: Article

References (20)

1. Holevo A S 1983 Generalized imprimitivity systems for Abelian groups Izv. Vyssh. Uchebn. Zaved. Mat. 27 49-71 (Engl. Transl. Sov. Math. 53-80)
2. Holevo A S 1983 Generalized imprimitivity systems for Abelian groups Izv. Vyssh. Uchebn. Zaved. Mat. 27 49-71 (Engl. Transl. Sov. Math. 53-80)
3. Lahti P and Pellonpää J-P 1999 Covariant phase observables in quantum mechanics J. Math. Phys. 40 4688-98
4. Cassinelli G, De Vito E, Lahti P and Pellonpää J-P 2001 Covariant localizations in the torus and the phase observables J. Math. Phys. submitted
5. Holevo A S 1982 Probabilistic and Statistical Aspects of Quantum Theory (Amsterdam: North-Holland)
6. Lahti P and Pellonpää J-P 2000 Characterizations of the canonical phase observable J. Math. Phys. 41 7352-81
7. Ludwig G 1983 Foundations of Quantum Mechanics vol 1 (Berlin: Springer)
8. Kraus K 1983 States, Effects, and Operations (Lecture Notes in Physics 190) (Berlin: Springer)
9. Busch P, Lahti P and Mittelstaedt P 1996 The Quantum Theory of Measurement (Lecture Notes in Physics M2) 2nd edn (Berlin: Springer)
10. Lahti P, Pulmannova S and Ylinen K 1998 Coexistent observables and effects in a convexity approach J. Math. Phys. 39 6364-71
11. Berg C, Christensen J P R and Ressel P 1984 Harmonic Analysis on Semigroups (Berlin: Springer)
12. Ylinen K 1996 Positive operator bimeasures and a noncommutative generalization Stud. Math. 118 157-68
13. Bohr N 1928 The quantum postulate and the recent development of atomic theory Nature 121 580-90 Bohr N 1935 Can quantum mechanical description of physical reality be considered complete? Phys. Rev. 48 696-702
14. Bohr N 1928 The quantum postulate and the recent development of atomic theory Nature 121 580-90 Bohr N 1935 Can quantum mechanical description of physical reality be considered complete? Phys. Rev. 48 696-702
15. Busch P and Gudder S 1999 Effects as functions on projective Hilbert space Lett. Math. Phys. 47 329-37
16. Young N 1988 An Introduction to Hilbert Space (Cambridge: Cambridge University Press)
17. Billingsley P 1979 Probability and Measure (New York: Wiley)
18. Rudin W 1987 Real and Complex Analysis 3rd edn (New York: McGraw-Hill)
19. Lévy P 1939 L'addition des variables aléatoires définies sur une circonférence Bull. Soc. Math. France 67 1-41
20. Lahti P J 1981 On the inter-relations of the three quantal principles Current Issues in Quantum Logic ed E B Beltrametti and B C van Fraassen (New York: Plenum) pp 447-54