Semispectral measures as convolutions and their moment operators

Journal of Mathematical Physics

Volumn 49, Issue 11, 2008, Pages

  Kiukas, Jukka ^a,b   Lahti, Pekka ^a   Ylinen, Kari ^a  

^a UNIVERSITY OF TURKU   (Finland)

^b TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 57049110394     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3032330     Document Type: Article

References (23)

1. E. B. Davies, Quantum Theory of Open Systems (Academic, London, 1976).
2. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
3. P. Busch, M. Grabowski, and P. Lahti, Operational Quantum Physics, 2nd ed. (Springer-Verlag, Berlin, 1997).
4. F. E. Schroeck, Jr., Quantum Mechanics on Phase Space (Kluwer Academic, Dordrecht, 1996).
5. U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, 1997).
6. W. Stulpe, Classical Representations of Quantum Mechanics Related to Statistically Complete Observables (Wissenschaft und Technik, Berlin, 1997).
7. N. P. Landsman, Mathematical Topics Between Classical and Quantum Mechanics (Springer-Verlag, New York, 1998).
8. S. T. Ali, J. -P. Antoine, and J. -P. Gazeau, Coherent States, Wavelets and Their Generalizations (Springer-Verlag, New York, 2000).
9. A. S. Holevo, Statistical Structure of Quantum Theory (Springer, Berlin, 2001).
10. Quantum State Estimation, Lecture Notes in Physics Vol. 649, edited by, M. G. A. Paris, and, J. eháč, (Springer-Verlag, Berlin, 2004).
11. N. P. Landsman, Between Classical and Quantum, Handbook of the Philosophy of Science, Philosophy of Physics (Elsevier, New York, 2007).
12. J. Kiukas and P. Lahti, J. Mod. Opt. 55, 1891 (2008). 0950-0340
13. A. S. Holevo, Rep. Math. Phys. 0034-4877 10.1016/0034-4877(79)90072-7 16, 385 (1979).
14. R. Werner, J. Math. Phys. 0022-2488 10.1063/1.526310 25, 1404 (1984).
15. G. Cassinelli, E. De Vito, and A. Toigo, J. Math. Phys. 0022-2488 10.1063/1.1598277 44, 4768 (2003).
16. J. Kiukas, P. Lahti, and K. Ylinen, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2005.06.069 319, 783 (2006).
17. A. Dvurečenskij, P. Lahti, and K. Ylinen, Rep. Math. Phys. 0034-4877 10.1016/S0034-4877(00)88876-X 45, 139 (2000).
18. J. Kiukas and P. Lahti, J. Mod. Opt. 55, 1175 (2008). 0950-0340
19. P. Lahti, M. Maczyński, and K. Ylinen, Rep. Math. Phys. 0034-4877 10.1016/S0034-4877(98)80019-0 41, 319 (1998).
20. N. Dunford and J. T. Schwartz, Linear Operators, Part I: General Theory (Interscience, New York, 1958).
21. P. R. Halmos, Measure Theory (Springer-Verlag, New York, 1974) (originally published in 1950).
22. J. Kiukas, P. Lahti, and K. Ylinen, J. Math. Phys. 0022-2488 10.1063/1.1851957 46, 042107 (2005).
23. J. Kiukas, P. Lahti, and K. Ylinen, J. Math. Phys. 0022-2488 10.1063/1.2211931 47, 072104 (2006).