DOI: 10.1017/s0305004100019137. Probability relations between separated systems

Probability relations between separated systems

10.1017/s0305004100019137

Crossref journal-article

Cambridge University Press (CUP)

Mathematical Proceedings of the Cambridge Philosophical Society (56)

Abstract

The paper first scrutinizes thoroughly the variety of compositions which lead to the same quantum-mechanical mixture (as opposed to state or pure state). With respect to a given mixture every state has a definite probability (or mixing fraction) between 0 and 1 (including the limits), which is calculated from the mixtures Statistical Operator and the wave function of the state in question.A well-known example of mixtures occurs when a system consists of two separated parts. If the wave function of the whole system is known, either part is in the situation of a mixture, which is decomposed into definite constituents by a definite measuring programme to be carried out on the other part. All the conceivable decompositions (into linearly independent constituents) of the first system are just realized by all the possible measuring programmes that can be carried out on the second one. In general every state of the first system can be given a finite chance by a suitable choice of the programme.It is suggested that these conclusions, unavoidable within the present theory but repugnant to some physicists including the author, are caused by applying non-relativistic quantum mechanics beyond its legitimate range. An alternative possibility is indicated.

Bibliography

SchrÃ¶dinger, E. (1936). Probability relations between separated systems. Mathematical Proceedings of the Cambridge Philosophical Society, 32(3), 446â452.

Authors 1

E. Schrödinger (first)

References 5 Referenced 749

{'key': 'S0305004100019137_ref003', 'first-page': '961', 'volume': '83', 'author': 'Schrödinger', 'year': '1927', 'journal-title': 'Annalen der Physik'} / Annalen der Physik by Schrödinger (1927)
Proc. Camb. Phil. Soc. 31 (1935), 555–63. (10.1017/S0305004100013554)
Mathematische Grundlagen der Quantenmechanik, Berlin, Springer, 1932
Collected Papers (Blackie and Son, 1928), p. 141.
10.1038/137298a0

Dates

Type	When
Created	16 years, 9 months ago (Nov. 7, 2008, 11:02 a.m.)
Deposited	6 years, 2 months ago (June 8, 2019, 4:19 p.m.)
Indexed	5 hours, 57 minutes ago (Sept. 4, 2025, 9:13 a.m.)
Issued	88 years, 11 months ago (Oct. 1, 1936)
Published	88 years, 11 months ago (Oct. 1, 1936)
Published Online	16 years, 10 months ago (Oct. 24, 2008)
Published Print	88 years, 11 months ago (Oct. 1, 1936)

Funders 0

None

BibTeX

@article{Schr_dinger_1936, title={Probability relations between separated systems}, volume={32}, ISSN={1469-8064}, url={http://dx.doi.org/10.1017/s0305004100019137}, DOI={10.1017/s0305004100019137}, number={3}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Schrödinger, E.}, year={1936}, month=oct, pages={446–452} }

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