## Abstract

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/k

A method to calculate

∫∫∫dk/k

^{2}∫∫∫dk'/k'^{2}k'^{2j}θ'cos^{2i}θ δ ((k+k')^{2}-ε^{2})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 language | English |
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Publisher | SCK CEN |

Number of pages | 52 |

State | Published - Nov 1969 |

Externally published | Yes |

### Publication series

Name | SCK CEN Reports |
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Publisher | SCK CEN |

No. | BLG-439 |