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Calculation of high-frequency spectral wings by solution of the Schrödinger equation in the complex plane

✍ Scribed by J. Yang; C.G. Gray; B.G. Nickel; J.D. Poll; A.G. Basile

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
509 KB
Volume
175
Category
Article
ISSN
0009-2614

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✦ Synopsis

We discuss a method of overcoming the large-phase-cancellation problem, due to rapid oscillations of the integrand, which arises when trying to compute far off-diagonal radiative matrix elements; relevant for spectral wings. The method involves (a) distorting the matrix-element integration path from the real axis to a contour in the complex plane, and (b ) solving the Schriidinger equation exactly (numerically) along the contour. The contour is chosen to eliminate, or reduce greatly, the oscillations in the integrand for the matrix element.

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