Remarks on causality, localization, and spreading of wave packets

Gerhard C. Hegerfeldt; Simon N. M. Ruijsenaars

doi:10.1103/PhysRevD.22.377

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Remarks on causality, localization, and spreading of wave packets

Gerhard C. Hegerfeldt^* and Simon N. M. Ruijsenaars

Joseph Henry Laboratories of Physics, Princeton University, Princeton, New Jersey 08544

^*On leave from the Institut für Theoretische Physik, Universität Göttingen.

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Phys. Rev. D 22, 377 – Published 15 July, 1980

DOI: https://doi.org/10.1103/PhysRevD.22.377

Abstract

Localization properties of general quantum systems and their connection with causality are studied, extending previous results by the first-named author.

References (18)

G. N. Fleming, Phys. Rev. 139, B963 (1965)
B. Gerlach, D. Gromes, and J. Petzold, Z. Phys. 202, 401 (1967) ibid.204, 1 (1967) ibid.221, 141 (1969) D. Gromes, ibid. 236, 276 (1970) J. W. De Roever, thesis, University of Amsterdam, 1977 (unpublished)
A. J. Kalnay, in Problems in the Foundation of Physics, edited by M. Bunge (Springer, Berlin, 1971), Vol. 4, pp. 93-110
G. C. Hegerfeldt, Phys. Rev. D 10, 3320 (1974)
J. F. Perez and I. F. Wilde, Phys. Rev. D 16, 315 (1977) B. K. Skagerstam, Int. J. Theor. Phys. 15, 213 (1976)
Omitted endnote
N. Levinson and R. M. Redheffer, Complex variables (Holden-Day, San Francisco, 1970)
Omitted endnote
Omitted endnote
Omitted endnote
Omitted endnote
S. N. M. Ruijsenaars, Ann. Phys. (N.Y.) (to be published)
Omitted endnote
M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1979), Vol. IV, Theorem XIII.57
K. Masuda, Proc. Jpn. Acad. 43, 361 (1967)
K. Masuda, J. Math. Anal. Appl. 21, 369 (1968)
B. Simon, Trace Ideals and Their Applications (Cambridge University Press, Cambridge, England, 1979)
M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1979), Vol. III

[c1] G. N. Fleming, Phys. Rev. 139, B963 (1965)

[c2] B. Gerlach, D. Gromes, and J. Petzold, Z. Phys. 202, 401 (1967) ibid.204, 1 (1967) ibid.221, 141 (1969) D. Gromes, ibid. 236, 276 (1970) J. W. De Roever, thesis, University of Amsterdam, 1977 (unpublished)

[c3] A. J. Kalnay, in Problems in the Foundation of Physics, edited by M. Bunge (Springer, Berlin, 1971), Vol. 4, pp. 93-110

[c4] G. C. Hegerfeldt, Phys. Rev. D 10, 3320 (1974)

[c5] J. F. Perez and I. F. Wilde, Phys. Rev. D 16, 315 (1977) B. K. Skagerstam, Int. J. Theor. Phys. 15, 213 (1976)

[c6] Omitted endnote

[c7] N. Levinson and R. M. Redheffer, Complex variables (Holden-Day, San Francisco, 1970)

[c8] Omitted endnote

[c9] Omitted endnote

[c10] Omitted endnote

[c11] Omitted endnote

[c12] S. N. M. Ruijsenaars, Ann. Phys. (N.Y.) (to be published)

[c13] Omitted endnote

[c14] M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1979), Vol. IV, Theorem XIII.57

[c15] K. Masuda, Proc. Jpn. Acad. 43, 361 (1967)

[c16] K. Masuda, J. Math. Anal. Appl. 21, 369 (1968)

[c17] B. Simon, Trace Ideals and Their Applications (Cambridge University Press, Cambridge, England, 1979)

[c18] M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1979), Vol. III

Physical Review D

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Remarks on causality, localization, and spreading of wave packets

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