On wave functions in quantum mechanics. Part 3. A theory of quantum mechanics where wave functions are defined by means of surely fundamental observables

Aldo Bressan

Rendiconti del Seminario Matematico della Università di Padova (1979)

  • Volume: 61, page 365-392
  • ISSN: 0041-8994

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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 61 (1979): 365-392. <http://eudml.org/doc/107730>.

@article{Bressan1979,
author = {Bressan, Aldo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {axiomatic theory; quantum mechanics; wave functions; quantistic axioms; primitive notions},
language = {eng},
pages = {365-392},
publisher = {Seminario Matematico of the University of Padua},
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},
url = {http://eudml.org/doc/107730},
volume = {61},
year = {1979},
}

TY - JOUR
AU - Bressan, Aldo
TI - On wave functions in quantum mechanics. Part 3. A theory of quantum mechanics where wave functions are defined by means of surely fundamental observables
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1979
PB - Seminario Matematico of the University of Padua
VL - 61
SP - 365
EP - 392
LA - eng
KW - axiomatic theory; quantum mechanics; wave functions; quantistic axioms; primitive notions
UR - http://eudml.org/doc/107730
ER -

References

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  1. [1] A. Bressan, A general interpreted modal calculus, Yale University Press, New Haven-London (1972), pp. 327. Zbl0255.02015MR401432
  2. [2] A. Bressan, On the usefulness of modal logic in the axiomatization of physics, in PSA 1972, Reidel Publishing Co., Dortrecht (1974), p. 285. Zbl0322.02014
  3. [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. Zbl0376.02020
  4. [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. MR604959
  5. [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. Zbl0476.03028
  6. [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. Zbl0432.35074MR555957
  7. [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. Zbl0456.35077MR569661
  8. [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. Zbl0485.03006
  9. [8] A.W. Burks, The logic of causal propositions, Mind, 60 (1951), p. 363. Zbl0044.25104MR45675
  10. [9] N. Cartwrite, A dilemma for the traditional interpretation of quantum mixtures, PSA 1972, Reidel Publishing Co. (1974), p. 251. 
  11. [10] H.D. Dombrowski, On simultaneous measurements of incompatible observables, Arch. Rat. Mech. Anal., 35 (1969), pp. 178-210. MR246599
  12. [11] P. Dore, Introduzione al calcolo delle probabilità e alle sue applicazioni ingegneristiche, PàtronBologna, (1964), 522 pp. Zbl0129.29901
  13. [12] G. Emch, Algebraic methods in statistical mechanics and quantum field theory, Wiley Interscience (1972), 333 pp. Zbl0235.46085
  14. [13] J.M. Jauch, Foundations of quantum mechanics, North Holland (1970), 299 pp. Zbl0166.23301MR218062
  15. [14] A. Messiah, Quantum mechanics, North Holland (1970), 1136 pp. Zbl0102.42602
  16. [15] E. Prugove, Quantum mechanics in Hilbert space, Academic Press, New York (1971), 648 pp. Zbl0217.44204
  17. [16] H. Reichenbach, The theory of probability, Univ. of California Press, Berkeley (1949), 492 pp. Zbl0038.28604
  18. [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). 
  19. [18] J. Von Neumann, (a) Mathematische Grundtagen der Quarcten Mechanik, Berlin (1932); (b) English translation of (a), Princeton University Press (1955), 445 pp. Zbl0479.46049JFM58.0929.06

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