@article{AIHPA_1973__19_2_105_0,
author = {Almond, D. J.},
title = {Time operators, position operators, dilatation transformations and virtual particles in relativistic and nonrelativistic quantum mechanics},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {19},
year = {1973},
pages = {105-169},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1973__19_2_105_0}
}
Almond, D. J. Time operators, position operators, dilatation transformations and virtual particles in relativistic and nonrelativistic quantum mechanics. Annales de l'I.H.P. Physique théorique, Tome 19 (1973) pp. 105-169. http://gdmltest.u-ga.fr/item/AIHPA_1973__19_2_105_0/
[1] , Ann. Math., vol. 40, 1939, p. 149. | JFM 65.1129.01 | Zbl 0020.29601
[2] and , Rev. Mod. Phys., vol. 21, 1949, p. 400. | Zbl 0036.26704
[3] , Phys. Rev., vol. 80, 1950, p. 440. | Zbl 0040.28002
[4] and , Ann. Phys. (N. Y.), vol. 31, 1965, p. 370. | MR 178747 | Zbl 0126.45001
[5] , Prakt. Acad. Athenon, vol. 14, 1939, p. 540 and 15, 1940, p. 404. | JFM 65.1520.03 | MR 32489
[6] , Proc. Roy. Soc. (London), vol. A 195, 1948, p. 62. | MR 29776 | Zbl 0032.23605
[7] , Commun. Dublin Inst. Advanced Stud., vol. A, No. 5, 1949. | Zbl 0032.32703
[8] , The Theory of Relativity, Oxford University Press, Second Edit., Oxford, 1972.
[9] , Die allgemeinen Prinzipien der Wellenmechanik (Encyclopaedia of Physics, vol. 5/I, Springer, Berlin, 1958).
[10] , Zeits. für Phys., vol. 120, 1943, p. 513 and 673. | Zbl 0028.27901
[11] , Phys. Rev., vol. 142, 1966, p. 1060. | MR 194057 | Zbl 0137.18503
[12] , J. Math. Phys., vol. 4, 1963, p. 776. | MR 154608 | Zbl 0122.22302
[13] , Ann. Math., vol. 59, 1954, p. 1. | Zbl 0055.10304
[14] , Suppl. Nuovo Cimento, vol. 14, 1959, p. 81. | MR 113606
[15] and , Nuovo Cimento, vol. 9, 1952, p. 705. | MR 50594 | Zbl 0049.13802
[16] , Galilei group and Galilean invariance in Group theory and applications, vol. 2 (E. M. LOEBL, ed.), Academic Press, New York, 1971. | MR 466427
[17] , Ann. Phys. (N. Y.), vol. 9, 1960, p. 518.
[18] , J. Math. Phys., vol. 8, 1967, p. 406. | Zbl 0152.23203
[19] , Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, 1960.
[20] , Elementary Theory of Angular Momentum, Wiley, New York, 1957. | Zbl 0079.20102
[21] , Nuovo Cimento, vol. 52 A, 1967, p. 879. | MR 224741 | Zbl 0152.41602
[22] , Proc. Roy. Soc. (London), vol. A 136, 1932, p. 453. | JFM 58.0935.02 | Zbl 0004.28002
[23] , Progr. Theor. Phys., vol. 1, 1946, p. 27. | Zbl 0038.13101
[24] and , Phys. Rev., vol. 108, 1957, p. 482. | MR 95055 | Zbl 0081.43103
[25] , Doctoral Dissertation, Princeton, 1948.
[26] , Quantum Theory, Prentice-Hall, Englewood Cliffs, 1951.
[27] , Phys. Rev., vol. 18, 1955, p. 145. | MR 71337 | Zbl 0064.21804
[28] , Phys. Rev., vol. 118, 1960, p. 349. | MR 116934 | Zbl 0092.19001
[29] , J. Math. Phys., vol. 5, 1964, p. 490. | Zbl 0133.23205
[30] , Comm. Math. Phys., vol. 3, 1966, p. 75. | MR 206154 | Zbl 0139.41905
[31] , Lett. Nuovo Cimento, vol. 5, 1972, p. 233.
[32] , Phys. Rev. Letters, vol. 12, 1964, p. 467. | Zbl 0127.44801
[33] , private communication.
[34] and , Nucl. Phys., vol. 40, 1963, p. 1. | MR 151132 | Zbl 0115.44401
[35] and , Nuovo Cimento, 22, 1961, p. 643. | Zbl 0097.42906
[36] , Phys. Rev., vol. 143, 1966, p. 1021. | MR 195409
[37] , Nuovo Cimento, vol. A 49, 1967, p. 285. | MR 211687
[38] , Rev. Mod. Phys., vol. 29, 1957, p. 255. | MR 91188 | Zbl 0097.42702
[39] , J. Math. Phys., vol. 4, 1963, p. 490. | Zbl 0149.46204
[40] and , BNL Report No. BNL-8767, 1965 (unpublished).
[41] and , Phys. Rev., vol. 164, 1967, p. 1805.
[42] , Phys. Rev., vol. 140, 1965, p. B 183. | MR 189628 | Zbl 0138.45602
[43] and , Nuovo Cimento, vol. 48 A, 1967, p. 997. | MR 218079 | Zbl 0163.22101
[44] , Duke Math. J., vol. 18, 1951, p. 221. | MR 45133 | Zbl 0045.38601
[45] and , Proc. Nat. Acad. Sci. U. S. A., vol. 39, 1953, p. 510 and 40, 1954, p. 119. | Zbl 0050.02601
[46] , J. Math. Phys., vol. 2, 1961, p. 1. | Zbl 0098.25804
[47] , 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] , Ann. Math., vol. 48, 1947, p. 568. | MR 21942 | Zbl 0045.38801
[49] , 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] , Phys. Rev., vol. 176, 1958, p. 1514.
[51] and , Nucl. Phys., vol. B 19, 1970, p. 477.
[52] , and , Phys. Rev., vol. 88,1952, p. 101. | MR 53796 | Zbl 0046.43906
[53] , Proc. Roy. Soc. (London), vol. A 133, 1931, p. 60. | JFM 57.1581.06 | Zbl 0002.30502
[54] , Group Theory, Pergamon London, 1962. | MR 143451 | Zbl 0100.36704
[55] , Unitary ray representations of Lie groups and their application to quantum mechanics, University of Southampton, preprint, 1973.
[56] , Arkiv fur Physik, vol. 33, 1967, p. 523.
[57] , 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. | Zbl 0224.00004
[58] , 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 | Zbl 0151.34304