On the optical theorem and non-plane-wave scattering in quantum mechanics
J. Math. Phys. 50, 112302 (2009); doi:10.1063/1.3256127
Published 6 November 2009
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In quantum mechanics, the optical theorem states that the extinction cross section is equal (within a prefactor 4
/k, in which k is a quantum wave number) to the imaginary part of the forward scattering angular function. This theorem is valid for plane wave scattering. We discuss modifications required for non-plane-wave scattering and establish a generalized expression for the extinction cross section in quantum mechanics. Examples are provided for two kinds of quantum shaped beams, namely, Gaussian and Bessel beams.
©2009 American Institute of Physics
/k, in which k is a quantum wave number) to the imaginary part of the forward scattering angular function. This theorem is valid for plane wave scattering. We discuss modifications required for non-plane-wave scattering and establish a generalized expression for the extinction cross section in quantum mechanics. Examples are provided for two kinds of quantum shaped beams, namely, Gaussian and Bessel beams.
©2009 American Institute of Physics
| History: | Received 2 July 2009; accepted 6 October 2009; published 6 November 2009 |
| Permalink: |
http://link.aip.org/link/?JMAPAQ/50/112302/1 |
KEYWORDS and PACS
PUBLICATION DATA
0022-2488 (print)
1089-7658 (online)
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