Prog. Theor. Phys. Vol. 56 No. 3 (1976) pp. 897-907

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Eikonal Approximation

— Backward and Transverse Effects —

Takayuki Matsuki

Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo 152

(Received February 9, 1976)

Abstract:

We propose a high-energy approximation method in nonrelativistic and relativistic quantum mechanics. In our formalism, we take into account the effects of propagation in the forward, backward and transverse directions. With the backward and the transverse effect neglected, the present method gives eikonal approximation, while the Fresnel approximation is obtained from our formalism with only the backward effect neglected. In quantum field theory, as an application of our formalism, we investigate the s-u crossing problem which is closely related to backward scattering.

URL : http://ptp.ipap.jp/link?PTP/56/897/
DOI : 10.1143/PTP.56.897

References:

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Citing Article(s) :

Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1007-1012 :
High-Energy Scattering of Dirac Particles by an Arbitrary Potential

Takayuki Matsuki
Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 320-322 :
Eikonal-Type Expansions

Toshimi Adachi and Toshio Inagaki
Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 1956-1973 :
Eikonal Type Approximations for Potential Scattering

Toshimi Adachi and Toshio Inagaki