An order for quantum observables

Stanley P. Gudder

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 5, page 573-589
  • ISSN: 0232-0525

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Gudder, Stanley P.. "An order for quantum observables." Mathematica Slovaca 56.5 (2006): 573-589. <http://eudml.org/doc/34627>.

@article{Gudder2006,
author = {Gudder, Stanley P.},
journal = {Mathematica Slovaca},
keywords = {effects; logical order of operators},
language = {eng},
number = {5},
pages = {573-589},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {An order for quantum observables},
url = {http://eudml.org/doc/34627},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Gudder, Stanley P.
TI - An order for quantum observables
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 5
SP - 573
EP - 589
LA - eng
KW - effects; logical order of operators
UR - http://eudml.org/doc/34627
ER -

References

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  1. BUSCH P.-GRABOWSKI M.-LAHTI P. J., Operational Quantum Physics, Springer-Verlag, Berlin, 1995. (1995) Zbl0863.60106MR1356220
  2. DAVIES E. B., Quantum Theory of Open Systems, Academic Press, New York, 1976. (1976) Zbl0388.46044MR0489429
  3. DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Kluwer Acad. Publ., Dordrecht, 2000. Zbl0987.81005MR1861369
  4. FOULIS D. J.-BENNETT M. K., Effect algebras and unsharp quantum logics, Found. Phys. 24 (1994), 1325-1346. (1994) Zbl1213.06004MR1304942
  5. GIUNTINI R.-GREULING H., Toward a formal language for unsharp properties, Found. Phys. 19 (1989), 931-945. (1989) MR1013913
  6. GUDDER S., A structure for quantum measurements, Rep. Math. Phys. 55 (2005), 249-267. Zbl1098.81014MR2139588
  7. HOLEVO A. S., Probabilistic and Statistical Aspects of Quantum Theory, North-Holland, Amsterdam, 1982. (1982) Zbl0497.46053MR0681693
  8. KADISON R., Order properties of bounded self-adjoint operators, Proc. Amer. Math. Soc. 34 (1951), 505-510. (1951) Zbl0043.11501MR0042064
  9. KRAUS K., States, Effects and Operations, Springer-Verlag, Berlin, 1983. (1983) Zbl0545.46049MR0725167
  10. LUDWIG G., Foundations of Quantum Mechanics, Vols. I, II, Springer, Berlin, 1983/1985. (1983) 

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