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On the Localizability of Quantum Mechanical Systems
Rev. Mod. Phys. 34, 845 – Published 1 October, 1962
DOI: https://doi.org/10.1103/RevModPhys.34.845
References (35)
- T. D. Newton and E. P. Wigner, Revs. Modern Phys. 21, 400 (1949)
- L. Foldy and S. Wouthuysen, Phys. Rev. 78, 29 (1950) A. Papapetrou, Acad. Athens 14, 540 (1939) R. Becker, Gött. Nach. p. 39 (1945) M. H. L. Pryce, Proc. Roy. Soc. (London) A150, 166 (1935) ibid.A195, 62 (1948) A. S. Wightman and S. Schweber, Phys. Rev. 98, 812 (1955)
- E. Inönü and E. Wigner, Nuovo cimento 9, 705 (1952)
- E. InönüE. WignerLes problèmes mathématiques de la théorie quantique des champs, (CNRS, Paris, 1959), pages 36-38
- G. W. Mackey, Proc. Natl. Acad. Sci. U.S. 35, 537 (1949) Ann. Math. 55, 101 (1952) ibid.58, 193 (1953) Acta Math. 99, 265 (1958) Mackey's Colloquium Lectures to the American Mathematical Society, Stillwater, Oklahoma Aug. 29-Sept. 1, 1961 Mackeyunpublished Harvard lectures 1960-61
- L. H. Loomis, Duke Math. J. 27, 569 (1960)
- J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1955), pp. 247-254
- J. von Neumann, Ann. Math. 33, 595 (1932)
- E. P. Wigner Dispersion Relations and Elementary Particles (John Wiley & Sons, Inc., 1961), pp. 176-181
- E. P. Wigner for V. Bargmannthe rotation group and Poincaré group) the Euclidean group in , Ann. Math. 59, 1 (1954)
- reference 1 L. Landau and R. Peierls Z. Physik 62, 188 (1930) ibid.69, 56 (1931) p. ibid.6967
Omitted endnote
- E. P. Wigner, Ann. Math. 40, 149 (1939) Z. Physik 124, 665 (1947-8)
- J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien (Gauthier-Villars, Paris, 1957) P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford University Press, New York, 1947), 3rd ed., Chap. III
- P. R. Halmos, Measure Theory (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1950), p. 128
- E. P. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra (Academic Press Inc., 1959), Chap. 26
- reference 16, pp. 343-344
- M. H. Stone, Linear Transformations in Hilbert Space (American Mathematical Society, Providence, Rhode Island, 1932), pp. 23-32
- reference 6. Loomis'
- R. Godement, Trans. Am. Math. Soc. 63, 1 (1948)
- reference 14, p. 20
- reference 15, p. 54, Theorem A
- V. Bargmann, Ann. Math. 59, 1 (1954), pp. 38-43
- Inönü and Wigner, reference 3
- E. Hewitt, Mat. Tidsskrift (1951B), pp. 81-94
- E. J. McShane, Integration (Princeton University Press, Princeton, New Jersey, 1947), pp. 242-274
- L. Pontrjagin, Topological Groups (Princeton University Press, Princeton, New Jersey, 1939), Chap. V
- Stone's original paper is Ann. Math. 33, 643 (1932) M. Naŭmark, Izvest. Akad. Nauk U.S.S.R. 7, 237 (1943) W. Ambrose, Duke Math. J. 11, 589 (1944) R. Godement, Compt. rend. 218, 901 (1944)
- F. Riesz and B. Sz.-Nagy, Leçons d'analyse fonctionelle (Budapest, 1953), p. 377
- M. H. Stone, Linear Transformations in Hilbert Space (American Mathematical Society, Providence, Rhode Island, 1932), Chap. VII
- H. Nakano, Ann. Math. 42, 657 (1941) I. E. Segal, Memoirs Am. Math. Soc. 9 (1951), Secs. I and II P. R. Halmos, Introduction to Hilbert Space and the Theory of Spectral Multiplicity (Chelsea Publishing Company, New York, 1951)
- R. Godement, Ann. Math. 53, 68 (1951) J. Dixmier, "Les Algebres d'Operateurs dans l'Espace Hilbertien," Algebres de von Neumann (Gauthier-Villars, Paris, 1957), Chap. II; pp. 216-224
- G. W. Mackey, Duke Math. J. 16, 313 (1949), Lemma 33 J. von Neumann, Bull. Amer. Math. Soc. 42, 343 (1936)
- P. R. Halmos, Measure Theory (D. van Nostrand Company, Inc., Princeton, New Jersey, 1950), pp. 243-9
- reference 15, pp. 55-56