Another definition for time delay

H. Narnhofer

doi:10.1103/PhysRevD.22.2387

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Another definition for time delay

H. Narnhofer

Institut für Theoretische Physik, Universität Wien, A-1090 Wien, Boltzmanngasse 5, Vienna, Austria

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Phys. Rev. D 22, 2387 – Published 15 November, 1980

DOI: https://doi.org/10.1103/PhysRevD.22.2387

Abstract

Time delay is defined by geometrical considerations which work in classical as well as in quantum mechanics, and its connection with the $S$ matrix and the virial is proven for potentials with $V (\vec{x})$ and $\vec{x} \cdot \vec{\nabla} V (x)$ vanishing as $r^{- 1 - ε}$ for $r \to \infty$ .

References (13)

E. Wigner, Phys. Rev. 98, 145 (1955)
J. M. Jauch, B. Misra, and K. B. Sinha, Helv. Phys. Acta 45, 398 (1972)
R. B. Lavine, 1976 report (unpublished)
M. Reed and B. Simon, Methods of Mathematical Physics (Academic, New York, 1978), Vol. III
Omitted endnote
T. A. Osborn, R. G. Froese, and S. F. Howes, Phys. Rev. A 22, 101 (1980)
W. Thirring, Lehrbuch der Mathematischen Physik (Springer, Wien, 1979), Vol. III, p. 156
Ph. A. Martin, Commun. Math. Phys. 41, 221 (1976)
D. Bollé and T. A. Osborn, Phys. Rev. D 13, 299 (1976)
Y. N. Demkov, Dok. Akad. Nauk SSSR 138, 86 (1961) [Sov. Phys.-Dokl. 6, 393 (1961)]
J. O. Hirschfelder, Phys. Rev. A 19, 2463 (1979)
R. Lavine, in Scattering Theory and Mathematical Physics, edited by J. A. LaVita and J. P. Marchand (Reidel, Boston, 1974), p. 141
T. A. Osborne and D. Bollé, J. Math. Phys. 20, 1121 (1979)

[c1] E. Wigner, Phys. Rev. 98, 145 (1955)

[c2] J. M. Jauch, B. Misra, and K. B. Sinha, Helv. Phys. Acta 45, 398 (1972)

[c3] R. B. Lavine, 1976 report (unpublished)

[c4] M. Reed and B. Simon, Methods of Mathematical Physics (Academic, New York, 1978), Vol. III

[c5] Omitted endnote

[c6] T. A. Osborn, R. G. Froese, and S. F. Howes, Phys. Rev. A 22, 101 (1980)

[c7] W. Thirring, Lehrbuch der Mathematischen Physik (Springer, Wien, 1979), Vol. III, p. 156

[c8] Ph. A. Martin, Commun. Math. Phys. 41, 221 (1976)

[c9] D. Bollé and T. A. Osborn, Phys. Rev. D 13, 299 (1976)

[c10] Y. N. Demkov, Dok. Akad. Nauk SSSR 138, 86 (1961) [Sov. Phys.-Dokl. 6, 393 (1961)]

[c11] J. O. Hirschfelder, Phys. Rev. A 19, 2463 (1979)

[c12] R. Lavine, in Scattering Theory and Mathematical Physics, edited by J. A. LaVita and J. P. Marchand (Reidel, Boston, 1974), p. 141

[c13] T. A. Osborne and D. Bollé, J. Math. Phys. 20, 1121 (1979)

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