Issues

 / 

1992

 / 

December

  

Reviews of topical problems


Groups and probabilities at the foundations of quantum mechanics

, ,  a
a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

The current state of the foundations of quantum mechanics is discussed. The analysis takes as its starting point the theory of probability amplitudes, which is intimately related to the group-theoretic approach. A detailed examination is presented of the relationships of classical and quantum theories, the transition to the classical limit, the different forms of uncertainty relations, and the properties of quantum structures determined by the Clebsch--Gordan coefficients. Possible future generalizations are examined, including those involving quantum algebras.

Fulltext pdf (2.4 MB)
Fulltext is also available at DOI: 10.1070/PU1992v035n12ABEH002281
PACS: 03.65.Ta, 03.65.Db, 02.50.Cw (all)
DOI: 10.1070/PU1992v035n12ABEH002281
URL: https://ufn.ru/en/articles/1992/12/a/
Citation: Smorodinskii Ya A, Shelepin A L, Shelepin L A "Groups and probabilities at the foundations of quantum mechanics" Sov. Phys. Usp. 35 (12) 1005–1051 (1992)
BibTexBibNote ® (generic)BibNote ® (RIS)Medline RefWorks
RT Journal
T1 Groups and probabilities at the foundations of quantum mechanics
A1 Smorodinskii,Ya.A.
A1 Shelepin,A.L.
A1 Shelepin,L.A.
PB Physics-Uspekhi
PY 1992
FD 10 Dec, 1992
JF Physics-Uspekhi
JO Phys. Usp.
VO 35
IS 12
SP 1005-1051
DO 10.1070/PU1992v035n12ABEH002281
LK https://ufn.ru/en/articles/1992/12/a/

Оригинал: Смородинский Я А, Шелепин А Л, Шелепин Л А «Групповые и вероятностные основы квантовой теории» УФН 162 (12) 1–95 (1992); DOI: 10.3367/UFNr.0162.199212a.0001

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions