Localization and causality in relativistic quantum mechanics

J. Fernando Perez; Ivan F. Wilde

doi:10.1103/PhysRevD.16.315

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Localization and causality in relativistic quantum mechanics

J. Fernando Perez^*

Ivan F. Wilde^†

Instituto de Física-Universidade de São Paulo, São Paulo, Brazil

Department of Physics, Queen Mary College, London, England

^*Partial financial support by FAPESP.
^†Work supported in part by the Science Research Council.

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Phys. Rev. D 16, 315 – Published 15 July, 1977

DOI: https://doi.org/10.1103/PhysRevD.16.315

Abstract

It is shown that in relativistic quantum mechanics there is no criterion for the strict localization of a state in a bounded space-time region compatible with causality, translation covariance, and the spectral condition (or positivity of energy together with Lorentz covariance).

References (12)

T. D. Newton and E. P. Wigner, Rev. Mod. Phys. 21, 400 (1949)
A. S. Wightman, Rev. Mod. Phys. 34, 845 (1962)
R. Haag and J. A. Swieca, Commun. Math. Phys. 1, 308 (1965)
S. Schlieder, Commun. Math. Phys. 1, 265 (1965)
J. M. Knight, J. Math. Phys. 2, 459 (1961)
A. L. Licht, J. Math. Phys. 4, 1443 (1963)
H. Reeh and S. Schlieder, Nuovo Cimento 22, 1051 (1961)
R. Streater and A. S. Wightman, PCT, Spin and Statistics and All That (Benjamin, New York, 1964)
R. Jost, The General Theory of Quantized Fields (American Mathematical Society, New York, 1963)
G. C. Hegerfeldt, Phys. Rev. D 10, 3320 (1974)
B. Durand, Phys. Rev. D 4, 1554 (1976)
G. N. Fleming, Phys. Rev. 137, B188 (1965)

[c1] T. D. Newton and E. P. Wigner, Rev. Mod. Phys. 21, 400 (1949)

[c2] A. S. Wightman, Rev. Mod. Phys. 34, 845 (1962)

[c3] R. Haag and J. A. Swieca, Commun. Math. Phys. 1, 308 (1965)

[c4] S. Schlieder, Commun. Math. Phys. 1, 265 (1965)

[c5] J. M. Knight, J. Math. Phys. 2, 459 (1961)

[c6] A. L. Licht, J. Math. Phys. 4, 1443 (1963)

[c7] H. Reeh and S. Schlieder, Nuovo Cimento 22, 1051 (1961)

[c8] R. Streater and A. S. Wightman, PCT, Spin and Statistics and All That (Benjamin, New York, 1964)

[c9] R. Jost, The General Theory of Quantized Fields (American Mathematical Society, New York, 1963)

[c10] G. C. Hegerfeldt, Phys. Rev. D 10, 3320 (1974)

[c11] B. Durand, Phys. Rev. D 4, 1554 (1976)

[c12] G. N. Fleming, Phys. Rev. 137, B188 (1965)

Physical Review D

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Localization and causality in relativistic quantum mechanics

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References (12)

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