On the numerical evaluation of two phonon absorption integrals in polaron, Theory

M.J. Goovaerts, M.J. De Sitter, J. Devreese

Research outputpeer-review

3 Downloads (Pure)


Integrals arising in the calculation of 2-phonon processes in hte absorption of light by free continuum polarons [E. Kartheuser, R. Evrard, J. Devreese, "Mechaism of absorption of light by free continuum polarons" Phys. Rev. Letters 22, 94 (1969)], are evaluated numerically.
A method to calculate
∫∫∫dk/k2 ∫∫∫dk'/k'2 k'2jθ'cos2iθ δ ((k+k')22)e-xk'2-yk'2    (α)Numerically for all x, y > 0 and with positive integers i and j is described. Also a power series development in ε and an asymptotic expansion for the case x=y=2 and i = j = 0 are derived. Finally the calculation of (α) is carried out analytically.

Original languageEnglish
PublisherSCK CEN
Number of pages52
StatePublished - Nov 1969
Externally publishedYes

Publication series

NameSCK CEN Reports
PublisherSCK CEN

Cite this