Abstract
One may identify at least four different ways in which pov measures enter the arena of quantum physical investigations. First, they are an integral part of the probabilistic structure of quantum mechanics. Second, they arise in a natural way in the theoretical description of many experiments. Furthermore, some of the longstanding conceptual problems of quantum mechanics appear in an entirely new light if reformulated in terms of pov measures. Finally, thinking of observables as pov measures leads one to envisage new perspectives that could not have been seen in a frame based on ordinary observables only.
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Chapter I.
P. Busch, P. Lahti, P. Mittelstaedt. The Quantum Theory of Measurement, Springer-Verlag, Berlin, 1991.
O. Stern. Ein Weg zur experimentellen Prüfung der Richtungsquantelung im Magnetfeld. Zeitschrift für Physik 7, 249–253, 1921. W. Gerlach, O. Stern. Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld. Zeitschrift für Physik 9, 349–352, 1922.
G. Ludwig. Foundations of Quantum Mechanics, Vol I. Springer-Verlag, Berlin, 1983.
K. Kraus. States, Effects and Operations. Springer-Verlag, Berlin, 1983.
R. Haag, D. Kastler. An algebraic approach to quantum field theory, Journal of Mathematical Physics 5, 846–861, 1964.
B. Mielnik. Theory of filters, Communications in Mathematical Physics 15, 1–46, 1969.
E.B. Davies, J.T. Lewis. An operational approach to quantum probability. Communications in Mathematical Physics 17, 239–259, 1970.
E.B. Davies. Quantum Theory of Open Systems. Academic Press, London, 1976.
G. Lindblad. Non-Equilibrium Entropy and Irreversibility. Reidel, Dordrecht, 1983.
R. Alicki, K. Lendi. Quantum Dynamical Semigroups and Applications. Springer-Verlag, Berlin, 1987.
C.W. Helstrom. Quantum Detection and Estimation Theory. Academic Press, New York, 1976.
A.S. Holevo. Probabilistic and Statistical Aspects of Quantum Theory. North Holland Publishing Corporation, Amsterdam, 1982.
M. Ohya, D. Petz. Quantum Entropy and Its Use. TMP, Springer-Verlag, Berlin, 1993.
S.T. Ali. Stochastic Localization, Quantum Mechanics on Phase Space and Quantum Space-Time. La Rivista del Nuovo Cimento 8(11), 1–128, 1985.
E. Prugovečki. Stochastic Quantum Mechanics and Quantum Space Time. D. Reidel Publishing Corporation, Dordrecht, 2nd edition, 1986.
E. Prugovečki. Quantum Geometry. Kluwer Academic Publishers, Dordrecht, 1992.
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© 1995 Springer-Verlag Berlin Heidelberg
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(1995). Introduction. In: Operational Quantum Physics. Lecture Notes in Physics Monographs, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49239-9_1
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DOI: https://doi.org/10.1007/978-3-540-49239-9_1
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