Phase and temporal average transition probabilities for a multi-level system in a sinusoidal field

J. V. Moloney, William J. Meath

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

Abstract

A previous exact formal and practical solution for the time-dependent Schrodinger equation for a two-level non-degenerate system in an arbitrarily strong sinusoidal field is transformed for an 2V-level system to a Floquet form. Using the Floquet form of the solution computationally convenient expressions are obtained for the phase and the phase-long time-averaged induced transition probabilities. The method exploits the time periodicity of the Schrodinger equation and the solution over the initial period of the hamiltonian provides all the information needed to obtain both the unaveraged and the averaged transition probabilities for the system. The method is illustrated by specific examples which are used to discuss some of the temporal features of the multi-photon spectra of two-level systems.

Original languageEnglish (US)
Pages (from-to)1537-1548
Number of pages12
JournalMolecular Physics
Volume31
Issue number5
DOIs
StatePublished - Jun 1976
Externally publishedYes

ASJC Scopus subject areas

  • Biophysics
  • Molecular Biology
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

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