On wave functions in quantum mechanics. Part 3. A theory of quantum mechanics where wave functions are defined by means of surely fundamental observables
Bressan, Aldo
Rendiconti del Seminario Matematico della Università di Padova, Tome 61 (1979), p. 365-392 / Harvested from Numdam
Publié le : 1979-01-01
@article{RSMUP_1979__61__365_0,
     author = {Bressan, Aldo},
     title = {On wave functions in quantum mechanics. Part 3. A theory of quantum mechanics where wave functions are defined by means of surely fundamental observables},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {61},
     year = {1979},
     pages = {365-392},
     mrnumber = {569673},
     zbl = {0456.35078},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1979__61__365_0}
}
Bressan, Aldo. On wave functions in quantum mechanics. Part 3. A theory of quantum mechanics where wave functions are defined by means of surely fundamental observables. Rendiconti del Seminario Matematico della Università di Padova, Tome 61 (1979) pp. 365-392. http://gdmltest.u-ga.fr/item/RSMUP_1979__61__365_0/

[1] A. Bressan, A general interpreted modal calculus, Yale University Press, New Haven-London (1972), pp. 327. | MR 401432 | Zbl 0255.02015

[2] A. Bressan, On the usefulness of modal logic in the axiomatization of physics, in PSA 1972, Reidel Publishing Co., Dortrecht (1974), p. 285. | Zbl 0322.02014

[3] A. Bressan, On the semantics for the language MLv based on a type system and those for the type-free language ML∞, in Problems in logic and ontology, Akademische Druck-u. Verlangsanthalt, Graz (1977), p. 5. | Zbl 0376.02020

[4] A. Bressan, On physical possibility, being printed in Italian Studies in Philosophy of Science, ed. M. L. Dalla Chiara-Scabbia, Dr. Reidel Publishing Company, Dortrecht (Holland), Boston. | MR 604959

[5] A. Bressan, Extension of the modal calculi MCv and MC∞. Comparison of them with similar calculi endowed with different semantics. Application to probability theory, to be printed in the proceedings of the workshop on modal logic held in Tubinga, Dec. 1977. | Zbl 0476.03028

[6 (a)], or Part I, A. Bressan, On wave functions in quantum mechanics, Part I: On a fundamental property of wave functions. Its deduction from postulates with a good operative character and experimental support, Rend. Sem. Mat. Univ. Padova, 60 (1978), pp. 77-98. | Numdam | MR 555957 | Zbl 0432.35074

[6 (b)], or Part II, A. Bressan, On wave functions in quantum mechanics. Part II: On fundamental observables and quarctistic states, Rend. Sem. Mat. Univ. Padova, 61 (1979), pp. 221-228. | Numdam | MR 569661 | Zbl 0456.35077

[7] A. Bressan - A. Montanaro, Contributions to the foundations of probability theory given on the basis of the modal logical calculi MCv and MCv*, to be printed in Rend. Sem. Mat. Univ. Padova. | Numdam | Zbl 0485.03006

[8] A.W. Burks, The logic of causal propositions, Mind, 60 (1951), p. 363. | MR 45675 | Zbl 0044.25104

[9] N. Cartwrite, A dilemma for the traditional interpretation of quantum mixtures, PSA 1972, Reidel Publishing Co. (1974), p. 251.

[10] H.D. Dombrowski, On simultaneous measurements of incompatible observables, Arch. Rat. Mech. Anal., 35 (1969), pp. 178-210. | MR 246599

[11] P. Dore, Introduzione al calcolo delle probabilità e alle sue applicazioni ingegneristiche, Pàtron Bologna, (1964), 522 pp. | Zbl 0129.29901

[12] G. Emch, Algebraic methods in statistical mechanics and quantum field theory, Wiley Interscience (1972), 333 pp. | Zbl 0235.46085

[13] J.M. Jauch, Foundations of quantum mechanics, North Holland (1970), 299 pp. | MR 218062 | Zbl 0166.23301

[14] A. Messiah, Quantum mechanics, North Holland (1970), 1136 pp. | Zbl 0102.42602

[15] E. Prugove, Quantum mechanics in Hilbert space, Academic Press, New York (1971), 648 pp. | Zbl 0217.44204

[16] H. Reichenbach, The theory of probability, Univ. of California Press, Berkeley (1949), 492 pp. | Zbl 0038.28604

[17] Van Fraassen, (a) A formal approach to philosophy of science, in Paradigms and paradoxes, Pittsburgh University Press (1972); (b) in Contemporary research in the foundations and philosophy of quantum theory, Dortrecht, Reidel (1973).

[18] J. Von Neumann, (a) Mathematische Grundtagen der Quarcten Mechanik, Berlin (1932); (b) English translation of (a), Princeton University Press (1955), 445 pp. | JFM 58.0929.06 | Zbl 0479.46049