| |
Table des matières de ce fascicule | Article suivant
Almond, D. J.
Time operators, position operators, dilatation transformations and virtual particles in relativistic and nonrelativistic quantum mechanics. Annales de l'institut Henri Poincaré (A) Physique théorique, 19 no. 2 (1973), p. 105-169
Texte intégral djvu | pdf
URL stable: http://www.numdam.org/item?id=AIHPA_1973__19_2_105_0
[1] E.P. Wigner, Ann. Math., vol. 40, 1939, p. 149. Zbl 0020.29601 | JFM 65.1129.01
[2] T.D. Newton and E.P. Wigner, Rev. Mod. Phys., vol. 21, 1949, p. 400. Zbl 0036.26704
[3] R.P. Feynman, Phys. Rev., vol. 80, 1950, p. 440. Zbl 0040.28002
[4] R.J. Eden and P.V. Landshoff, Ann. Phys. (N. Y.), vol. 31, 1965, p. 370. MR 178747 | Zbl 0126.45001
[5] A. Papapetrou, Prakt. Acad. Athenon, vol. 14, 1939, p. 540 and 15, 1940, p. 404. MR 32489 | JFM 65.1520.03
[6] M.H.L. Pryce, Proc. Roy. Soc. (London), vol. A 195, 1948, p. 62. MR 29776 | Zbl 0032.23605
[7] C. Møller, Commun. Dublin Inst. Advanced Stud., vol. A, No. 5, 1949. Zbl 0032.32703
[8] C. Møller, The Theory of Relativity, Oxford University Press, Second Edit., Oxford, 1972.
[9] W. Pauli, Die allgemeinen Prinzipien der Wellenmechanik (Encyclopaedia of Physics, vol. 5/I, Springer, Berlin, 1958).
[10] W. Heisenberg, Zeits. für Phys., vol. 120, 1943, p. 513 and 673. Zbl 0028.27901
[11] H.A. Kastrup, Phys. Rev., vol. 142, 1966, p. 1060. MR 194057 | Zbl 0137.18503
[12] J.-M. Lévy-Leblond, J. Math. Phys., vol. 4, 1963, p. 776. MR 154608 | Zbl 0122.22302
[13] V. Bargmann, Ann. Math., vol. 59, 1954, p. 1. Zbl 0055.10304
[14] A.S. Wightman, Suppl. Nuovo Cimento, vol. 14, 1959, p. 81. MR 113606
[15] E. Inönü and E.P. Wigner, Nuovo Cimento, vol. 9, 1952, p. 705. MR 50594 | Zbl 0049.13802
[16] J.-M. Lévy-Leblond, Galilei group and Galilean invariance in Group theory and applications, vol. 2 (E. M. LOEBL, ed.), Academic Press, New York, 1971. MR 466427
[17] M. Hamermesh, Ann. Phys. (N. Y.), vol. 9, 1960, p. 518.
[18] H.J. Bernstein, J. Math. Phys., vol. 8, 1967, p. 406. Zbl 0152.23203
[19] A.R. Edmonds, Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, 1960.
[20] M.E. Rose, Elementary Theory of Angular Momentum, Wiley, New York, 1957. Zbl 0079.20102
[21] L.H. Ryder, Nuovo Cimento, vol. 52 A, 1967, p. 879. MR 224741 | Zbl 0152.41602
[22] P.A.M. Dirac, Proc. Roy. Soc. (London), vol. A 136, 1932, p. 453. Zbl 0004.28002 | JFM 58.0935.02
[23] S. Tomonaga, Progr. Theor. Phys., vol. 1, 1946, p. 27. Zbl 0038.13101
[24] S. Gartenhaus and C. Schwartz, Phys. Rev., vol. 108, 1957, p. 482. MR 95055 | Zbl 0081.43103
[25] L. Eisenbud, Doctoral Dissertation, Princeton, 1948.
[26] D. Bohm, Quantum Theory, Prentice-Hall, Englewood Cliffs, 1951.
[27] E.P. Wigner, Phys. Rev., vol. 18, 1955, p. 145. MR 71337 | Zbl 0064.21804
[28] F.T. Smith, Phys. Rev., vol. 118, 1960, p. 349. MR 116934 | Zbl 0092.19001
[29] E.C. Zeeman, J. Math. Phys., vol. 5, 1964, p. 490. Zbl 0133.23205
[30] R. Hermann, Comm. Math. Phys., vol. 3, 1966, p. 75.
Article | MR 206154 | Zbl 0139.41905
[31] D.J. Almond, Lett. Nuovo Cimento, vol. 5, 1972, p. 233.
[32] W.D. Mc Glinn, Phys. Rev. Letters, vol. 12, 1964, p. 467. Zbl 0127.44801
[33] J.G. Taylor, private communication.
[34] J. Hilgevoord and S.A. Wouthuysen, Nucl. Phys., vol. 40, 1963, p. 1. MR 151132 | Zbl 0115.44401
[35] D.M. Fradkin and R.H. Good, Nuovo Cimento, 22, 1961, p. 643. Zbl 0097.42906
[36] H.A. Kastrup, Phys. Rev., vol. 143, 1966, p. 1021. MR 195409
[37] L. Castell, Nuovo Cimento, vol. A 49, 1967, p. 285. MR 211687
[38] E.P. Wigner, Rev. Mod. Phys., vol. 29, 1957, p. 255. MR 91188 | Zbl 0097.42702
[39] A.J. Macfarlane, J. Math. Phys., vol. 4, 1963, p. 490. Zbl 0149.46204
[40] F. Gürsey and L.A. Radicati, BNL Report No. BNL-8767, 1965 (unpublished).
[41] K.M. Bitar and F. Gürsey, Phys. Rev., vol. 164, 1967, p. 1805.
[42] H.A. Kastrup, Phys. Rev., vol. 140, 1965, p. B 183. MR 189628 | Zbl 0138.45602
[43] A.J. Kálnay and B.P. Toledo, Nuovo Cimento, vol. 48 A, 1967, p. 997. MR 218079 | Zbl 0163.22101
[44] I.E. Segal, Duke Math. J., vol. 18, 1951, p. 221.
Article | MR 45133 | Zbl 0045.38601
[45] E. Inönü and E.P. Wigner, Proc. Nat. Acad. Sci. U. S. A., vol. 39, 1953, p. 510 and 40, 1954, p. 119. Zbl 0050.02601
[46] E. Saletan, J. Math. Phys., vol. 2, 1961, p. 1. Zbl 0098.25804
[47] Iu.M. Shirokov, J. Exptl. Theoret. Phys. (U. S. S. R.), vol. 33, 1957, p. 1196; English translation, Sov. Phys. (J. E. T. P.), vol. 6, 1958, p. 919. Zbl 0085.21601
[48] V. Bargmann, Ann. Math., vol. 48, 1947, p. 568. MR 21942 | Zbl 0045.38801
[49] L.C. Biedenharn, Some Remarks on Representations of the Non-Compact Unitary Groups SU (p, 1) in Applications of Mathematics to Problems in Theoretical Physics (F. LURCAT, ed.), Gordon and Breach, New York, 1967. MR 231593
[50] H. Osborn, Phys. Rev., vol. 176, 1958, p. 1514.
[51] F.E. Close and L.A. Copley, Nucl. Phys., vol. B 19, 1970, p. 477.
[52] G.C. Wick, A.S. Wightman and E.P. Wigner, Phys. Rev., vol. 88,1952, p. 101. MR 53796 | Zbl 0046.43906
[53] P.A.M. Dirac, Proc. Roy. Soc. (London), vol. A 133, 1931, p. 60. Zbl 0002.30502 | JFM 57.1581.06
[54] M. Hamermesh, Group Theory, Pergamon London, 1962. MR 143451 | Zbl 0100.36704
[55] D.J. Almond, Unitary ray representations of Lie groups and their application to quantum mechanics, University of Southampton, preprint, 1973.
[56] U. Ottoson, Arkiv fur Physik, vol. 33, 1967, p. 523.
[57] A.J. Kálnay, The Localisation problem in Studies in the Foundations Methodology and Philosophy of Science, vol. 4 : Problems in the Foundations of Physics (M. BUNGE, ed.), Springer-Verlag, Berlin, 1971.
[58] E. Inönü, Contraction of Lie groups and their representations in Group Theoretical Concepts and Methods in Elementary Particle Physics (F. GÜRSEY, ed.), Gordon and Breach, New York, 1964. MR 170636
|
