# 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 (1979)

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

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topBressan, 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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- [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] 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
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- [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 (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
- [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
- [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
- [8] A.W. Burks, The logic of causal propositions, Mind, 60 (1951), p. 363. Zbl0044.25104MR45675
- [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. MR246599
- [11] P. Dore, Introduzione al calcolo delle probabilità e alle sue applicazioni ingegneristiche, PàtronBologna, (1964), 522 pp. Zbl0129.29901
- [12] G. Emch, Algebraic methods in statistical mechanics and quantum field theory, Wiley Interscience (1972), 333 pp. Zbl0235.46085
- [13] J.M. Jauch, Foundations of quantum mechanics, North Holland (1970), 299 pp. Zbl0166.23301MR218062
- [14] A. Messiah, Quantum mechanics, North Holland (1970), 1136 pp. Zbl0102.42602
- [15] E. Prugove, Quantum mechanics in Hilbert space, Academic Press, New York (1971), 648 pp. Zbl0217.44204
- [16] H. Reichenbach, The theory of probability, Univ. of California Press, Berkeley (1949), 492 pp. Zbl0038.28604
- [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).
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