Mathematical Foundations of Quantum Mechanics 187Bibliography.................................
[1] G. Ghirardi,Sneaking a Look at God’s Cards: Unraveling the Mysteries of Quantum
MechanicsPrinceton University Press; Revised edition (March 25, 2007)
[2] Edward N. Zalta (ed.)The Stanford Encyclopedia of Philosophyhttp://plato.stanford.
edu/
[3] P.A.M. Dirac,The principles of Quantum Mechanics. Oxford University Press, Oxford
(1930)
[4] I. M. Gelfand and N. J. Vilenkin,Generalized Functions, vol. 4: Some Applications
of Harmonic Analysis. Rigged Hilbert Spaces. Academic Press, New York (1964).
[5] V. Moretti, Spectral Theory and Quantum Mechanics: Mathematical Foundations
of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation,
Springer, 2018
[6] V. Moretti,Fundamental Mathematica Structures of Quantum Theories. Springer,
Berlin (2019)
[7] J. von Neumann,Mathematische Grundlagen der Quantenmechanik. Springer-Verlag,
Berlin (1932)
[8] W. Rudin,Functional Analysis2nd edition, McGraw Hill (1991)
[9] K. Schm ̈udgen,Unbounded Self-adjoint Operators on Hilbert Space, Springer (2012)
[10] G. K. Pedersen,Analysis Now, Graduate Texts in Mathematics, Vol. 118 (Springer-
Verlag, New York, 1989)
[11] V.S. Varadarajan,Geometry of Quantum Theory, Second Edition, Springer, Berlin
(2007)
[12] Ph. Blanchard, D. Giulini D., E. Joos, C. Kiefer, I.-O. Stamatescu (Eds.): Deco-
herence: Theoretical, Experimental, and Conceptual Problems. Lecture Notes in
Physics. Springer-Verlag, Berlin (2000)
[13] O. Bratteli, D.W. Robinson,Operator Algebras and Quantum Statistical Mechanics
(Vol I and II, Second Edition). Springer, Berlin (2002)
[14] G. Birkhoff and J. von Neumann,The logic of quantum mechanics, Ann. of Math.
(2) 37(4) (1936) 823–843
[15] E.G. Beltrametti, G. Cassinelli, The logic of quantum mechanics. Encyclopedia
of Mathematics and its Applications, vol. 15, Addison-Wesley, Reading, Mass.
(1981)
[16] K. Engesser, D. M. Gabbay, D. Lehmann (Eds),Handbook of Quantum Logic and
Quantum Structures. Elsevier, Amsterdam (2009)
[17] G. Mackey,The Mathematical Foundations of Quantum Mechanics.Benjamin,New
York (1963)
[18] C. Piron,Axiomatique QuantiqueHelv. Phys. Acta 37 439-468 (1964)
[19] J.M., Jauch and C. Piron,On the structure of quantal proposition systemHelv. Phys.
Acta 42 , 842 (1969)
[20]J.M., Jauch,Foundations of Quantum MechanicsAddison-Wesley Publishing Com-
pany, Reading USA (1978)
[21] A. Dvurecenskij,Gleasons theorem and its applications. Kluwer academic publishers,
Dordrecht (1992)
[22] A. S. Wightman,Superselection rules; old and newNuovo Cimento B 110, 751-769
(1995)