References

  1. G. Birkhoff & J. von Neumann (1936): The Logic of Quantum Mechanics. Ann. Math. 37, pp. 823–845, doi:10.2307/1968621.
  2. G. Chevalier (1989): Commutators and Decompositions of Orthomodular Lattices. Order 6, pp. 181–194, doi:10.1007/BF02034335.
  3. P. Gibbins (1987): Particles and Paradoxes: The Limits of Quantum Logic. Cambridge UP, Cambridge, UK, doi:10.1017/CBO9780511570674.
  4. G. Kalmbach (1983): Orthomodular Lattices. Academic, London.
  5. S. Kochen & E. P. Specker (1967): The Problem of Hidden Variables in Quantum Mechanics. J. Math. Mech. 17, pp. 59–87.
  6. E. L. Marsden (1970): The commutator and solvability in a generalized orthomodular lattice. Pacific J. Math 33, pp. 357–361, doi:10.2140/pjm.1970.33.357.
  7. J. von Neumann (1955): Mathematical Foundations of Quantum Mechanics. Princeton UP, Princeton, NJ. [English translation ofıt Mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932)].
  8. M. Ozawa (1984): Quantum measuring processes of continuous observables. J. Math. Phys. 25, pp. 79–87, doi:10.1063/1.526000.
  9. M. Ozawa (2004): Uncertainty relations for noise and disturbance in generalized quantum measurements. Ann. Phys. (N.Y.) 311, pp. 350–416, doi:10.1016/j.aop.2003.12.012.
  10. M. Ozawa (2006): Quantum perfect correlations. Ann. Phys. (N.Y.) 321, pp. 744–769, doi:10.1016/j.aop.2005.08.007.
  11. M. Ozawa (2007): Transfer principle in quantum set theory. J. Symbolic Logic 72, pp. 625–648, doi:10.2178/jsl/1185803627.
  12. M. Ozawa (2011): Quantum Reality and Measurement: A Quantum Logical Approach. Found. Phys. 41, pp. 592–607, doi:10.1007/s10701-010-9462-y.
  13. M. Redhead (1987): Incompleteness, Nonlocality, and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics. Oxford UP, Oxford.
  14. G. Takeuti (1981): Quantum set theory. In: E. G. Beltrametti & B. C. van Fraassen: Current Issues in Quantum Logic. Plenum, New York, pp. 303–322, doi:10.1007/978-1-4613-3228-2_19.
  15. G. Takeuti & W. M. Zaring (1971): Introduction to Axiomatic Set Theory. Springer, New York, doi:10.1007/978-1-4613-8168-6.

Comments and questions to: eptcs@eptcs.org
For website issues: webmaster@eptcs.org