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Physical Review Letters

Extended Two-Level Theory of the Exponential Index of Multiphoton Processes

Joseph H. Eberly

Published Apr 16, 1979• 25 citations
Publisher

Abstract

A nonperturbative formula is given for the r-photon-resonant, (r+p)-photon ionization rate of an atom and from it is derived an expression for the exponential index.Received 25 August 1978DOI:https://doi.org/10.1103/PhysRevLett.42.1049©1979 American Physical Society

DOI
10.1103/physrevlett.42.1049

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A nonperturbative formula is given for the r-photon-resonant, (r+p)-photon ionization rate of an atom and from it is derived an expression for the exponential index.Received 25 August 1978DOI:https://doi.org/10.1103/PhysRevLett.42.1049©1979 American Physical Society
The Keldysh-Faisal-Reiss theory of nonresonant multiphoton ionization seems to give reasonably good agreement with experiments for production rates in the above-threshold-ionization peaks. The theory has some conceptual difficulties, since physically equivalent Hamiltonians give radically different results when treated by this method. An alternate form of the S matrix is used here in which approximation must be made upon the exact wave function evolving from the initial state rather than the time-reversed form used in the Keldysh-Reiss treatment. The exact initial state is approximated by an adiabatic form which results in an S matrix that eliminates the conceptual difficulties described above.