journal article
Mar 01, 1956
Relativistic invariance in quantum mechanics
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References
27
[1]
Quantum mechanics of many-electron systems
Paul Adrien Maurice Dirac
Proceedings of the Royal Society of London. Series...
1929
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R. Haag: mimeographed notes (1953), unpublished.
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�ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
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Zeitschrift f�r Physik
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Cf.G. Wick, A. S. Wightman andE. P. Wigner:Phys. Rev.,88, 101 (1952).
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E. Schrödinger :Sitzungsber. preuss. Akad. Wiss. Physik.-math. Kl., p. 418 (1930).
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The concept of time dependent operators was introduced already byM. Born andP. Jordan:Zeits. f. Phys.,34, 858 (1925).
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E. P. Wigner: Gruppentheorieund ihre Anwendungen etc. (Braunschweig, 1931), Anhang to Chapter XX.
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Cg. e.g.J. M. Jauch andF. Rohrlich:The Theory of Photons and Electrons (Cambridge, Mass., 1955), p. 11.
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For the problematical nature of such proofs cf.L. Gabding andA. S. Wightman:Proc. Nat. Acad. Sc,40, 617, 622 (1954) also L. van Hove:Physica,18, 145 (1952) and E. Haag: reference (6) andKon. Danske Tidensk. Selskab, Math.-fys. Medd., 29, No. 12 (1955).
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Cf. reference (8) andL. L. Foldy:Phys. Rev.,93, 1395 (1953); S. Watanabe:Rev. Mod. Phys.,27, 26, 40 (1955).
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N. Bohr andL. Eosenfeld:Kon. Danske Vid. Selskab Mat.-fys. Medd. 12, No. 8 (1933);
[17]
Phys. Rev.,78, 194 (1950);
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E. Coeinadlesi:Nuovo Cimento,8, 494 (1951);9, 194 (1952). In particulars these articles do not deal fully with the problems raised by O. Halpern and M. H. Johnson (Phys. Rev.,59, 896 (1941)). Cf. also B. Feeretti:Nuovo Cimento,12, 558 (1954).
[19]
It is contained in various publications such as reference (13) andV. Bargmann andE. P. Wigner:Proc. Nat. Acad. Sc,34, 211 (1948); E. Inonu and E. P. WignerNuovo Cimento,9, 719 (1952);E. Haag: reference (15).
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Cf.Al. Proca:Journ. de Phys.,7, 347 (1936); N. Kemmer:Proc. Boy. Soc.,166, 127 (1938);173, 91 (1939); W. Pauli and M. Fierz:Helv. Phys. Acta,12, 297 (1939); L. de Broglie:Compt. Rend.,209, 265 (1939); H. A. Kramers, F. T. Belinfante and T. K. Lubanski:Physica, 8, 597 (1941); H. Bhabha:Bev. Mod. Phys.,. 17, 200 (1945); H. Hönl and H. Boerner:Zeits. f. Naturforsch., 5a, 353 (1950); K. J. Le Couteur:Proc. Boy. Soc., A202, 284, 394 (1950); P. L. Bauer:Ber. Bayer. Akad. d. Wissensch., p. 112 (1952); H. Yukawa:Phys. Bev.,91, 415, 416 (1953).
[21]
This was recognized already byP. A. M. Dirac:Proc. Boy Soc.,114, 243 (1927). Cf. also T. D. Newton and E. P. Wigner:Bev. Mod. Phys.,21, 400 (1949).
10.1098/rspa.1927.0039
[22]
This point is indicated also byH. Umezawa, S. Kamefuchi andS. Tanaka:Prog. Theor. Phys.,12, 383 (1955). The same result was obtained by the present writer on the basis of the consideration of time displacements and the positive nature of the energy (Göttinger Nachr., 1932, p. 546).
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[23]
See reference (13). It should be noted, however, that the time inversion considered there is Pauli’s unitary operator (cf.Rev. Mod. Phys.,13, 203 (1941)).
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[24]
A. Papapetrou:Praktika Acad. Athènes,14, 540 (1939);15, 404 (1940); M. H. L. Peyce:Proc. Roy. Soc.,195, 62 (1948).
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Cf.L. Michel:Report on the 1953 meeting of the IUPAP, 272.
[26]
L. D. Landau:Dokl. Akad. Nauk USSR,60, 207 (1948); C. N. Yang:Phys. Rev.,77, 242 (1950).
[27]
Some results for the angular distribution and polarisation were obtained already byC. L. Critchfield andE. Teller:Phys. Rev.,60, 10 (1941); D. R. Hamilton:Phys. Rev.,71, 546 (1947); E. Eisner and R. G. Sachs:Phys. Rev.,72, 680 (1947); L. Wolfenstein and R. G. Sachs:Phys. Rev.,73, 528 (1948); G. N. Yang:Phys. Rev.,74, 764 (1948).
10.1103/physrev.60.10
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References
Details
- Published
- Mar 01, 1956
- Vol/Issue
- 3(3)
- Pages
- 517-532
- License
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Authors
Cite This Article
E. P. Wigner (1956). Relativistic invariance in quantum mechanics. Il Nuovo Cimento, 3(3), 517-532. https://doi.org/10.1007/bf02744425
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