Two-phonon absorption operator in spectroscopy

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2 Citations (Scopus)


While the raising operator â+ does not have eigenvectors, coherent states are eigenvectors of the lowering operator â. Therefore, operating with the operator exp[kâ+2] on coherent states poses a challenge, where k is an arbitrary constant. The result of this operation on coherent states has not yet been reported in a closed form. A closed-form expression for this problem is derived. The applicability and correctness of the result are tested by calculating the electronic dipole moment time correlation function and the corresponding Franck-Condon factors for systems with distorted Hamiltonian which arises in case of quadratic electron-phonon coupling which is significant in quantifying electronic dephasing.

Original languageEnglish
Pages (from-to)92-95
Number of pages4
JournalChemical Physics Letters
Publication statusPublished - Jan 3 2013

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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