Types of transformations used in physics, and particle "exchange"

An active transformation of a physical system implies its motion. A passive transformation of the system is a change in the method of describing it. An analogy transformation means transition to another physical system, similar in some respect to the original one. In some cases transformations of one type may imitate those of another. The operation of particle permutation in quantum mechanics implies a passive transition to describing the same state of the system by a different method of introducing particle numbering. The problems of transitions from describing identical particles to describing different ones and that of ``explaining'' the probabilistic meaning of wave functions statistically are touched upon.

PACS: 03.65.−w
DOI: 10.1070/PU1987v030n07ABEH002930
URL: https://ufn.ru/en/articles/1987/7/g/
Citation: Klepikov N P "Types of transformations used in physics, and particle 'exchange'" Sov. Phys. Usp. 30 644–648 (1987)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Клепиков Н П «Типы преобразований, используемых в физике, и „обмен“ частицами» УФН 152 521–529 (1987); DOI: 10.3367/UFNr.0152.198707g.0521

References (34) ↓ Cited by (1) Similar articles (20)

Bargman V Rev. Mod. Phys. 29 161 (1957)
Andrie M J. Math. Phys. 17 394 (1976)
Waerden B L van der Modern Algebra (OGIZ, M., 1949)
Wigner E P Group Theory And Its Application To The Quantum Mechanics Of Atomic Spectra (IL, M., 1959)
Mirman R Nuovo Cimento, Ser. B 18 110 (1973)
Frenkel’ Ya I Wave Mechanics (GTTI, M., L., 1934)
Dirac P A M The Principles Of Quantum Mechanics (GTTI, M., L., 1967)
Pauli W General Principles Of Quantum Mechanics (Gostekhizdat, M., L.], 1947)
Landau L D and E M Lifshitz Quantum Mechanics (Fizmatgiz, M., 1963)
Schiff L I Quantum Mechanics (IL, M., 1959)
Sokolov A A Yu M Loskutov, and I M Ternov Quantum Mechanics (Uchpedgiz, M., 1984)
Davydov A S Quantum Mechanics (Fizmatgiz, M., 1963)
Bethe H A and R Jackiw Intermediate Quantum Mechanics (Mir, M., 1965)
Mackey G W Lectures On The Mathematical Foundation Of Quantum Mechanics (Mir, M., 1965)
Matveev A N Quantum Mechanics And Atomic Structure (in Russian) (Vysshaya Shkola, M., 1965)
Mott N F and I N Sneddon Wave Mechanics And Its Applications (Nauka, M., 1966)
Grashin A F Quantum Mechanics (in Russian) (Prosveshchenie, M., 1974)
Blokhintsev D I Principles Of Quantum Mechanics (Nauka, M., 1976)
Elyutin P V and V D Krivchenkov Quantum Mechanics (in Russian) (Nauka, M.)
Fok V A Fundamentals Of Quantum Mechanics (in Russian) (Nauka, M., 1976)
Savel’ev I V Foundations Of Theoretical Physics (in Russian) Vol. Vol. 2 (Nauka, M., 1977)
Lipkin H J Quantum Mechanics; New Approaches To Selected Topics (Mir, M., 1977)
Sokolov A A I M Ternov, and V Ch Zhukovski&ibreve; Quantum Mechanics (Nauka, M., 1979)
Messiah A Quantum Mechanics (Nauka, M., 1979)
Fedorchenko A M Foundations Of Quantum Mechanics (Vishcha Shkola, Kiev, 1978)
Faddeev L D and O A Yakubovski&ibreve; Lectures On Quantum Mechanics For Mathematics Studies (Izd-vo Leningr. Un-ta, L., 1980)
Committee on Science and Technology Terminology (USSR Academy Of Sciences) Terminology Of Quantum Mechanics, Handbook Of Recommended Terms (in Russian) (Nauka, M.) No. 104 (1985)
Klepikov N P Yad. Fiz. 19 462 (1974)
Gel’fer Ya I, V L Lyuboshin, and M I Podgoretskin The Gibbs Paradox And Particle Identity In Quantum Mechanics (in Russian) (Nauka, M., 1975)
Nikolski&ibreve; K V Quantum Processes (in Russian) (Gostekhizdat, M., 1940)
Kolmogorov A N Foundations Of The Theory Of Probability (Nauka, M.], 1974)
Mathematics: Its Content Methods, And Significance (in Russian) (Izd-vo Akad. Nauk SSSR, M., 1956)
Landau L D and E M Lifshitz Statistical Physics (Gostekhizdat, M.], 1951)
Klepikov N P and S N Sokolov Analysis And Design Of Experiments By The Maximum Likelihood Method (in Russian) (Nauka, M., 1964)