Application of the density matrix method to multiphoton ionization of molecules

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Abstract
In this paper we shall apply the density matrix method to study the one-photon ionization and two-photon ionization of molecules. Fano’s results for one-photon autoionization will be reproduced by this formalism. It will be shown that the existence of autoionization states will interfere with the determination of ionization thresholds of molecules by using the photoionization method if the autoionization state is located near the ionization threshold. It will also be shown that the density matrix method can treat two-color photoionization spectroscopy and the excited state lifetime measurement by multiphoton ionization method.