What question did this study set out to answer?

To calculate the probability of atomic multiphoton absorption from a monochromatic laser beam across arbitrary intensities and frequencies by solving the Schrödinger equation via a space translation method.

April 1, 1973Journal of Physics B Atomic and Molecular Physics

Multiple absorption of laser photons by atoms

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Authors

FFF. H. M. FaisalBielefeld University

Discussion

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Implication

Theoretical analysis demonstrates multiphoton absorption probabilities for atoms under arbitrary laser fields, indicating consistent convergence with perturbation theory at low intensities.

Key Points

To calculate the probability of atomic multiphoton absorption from a monochromatic laser beam across arbitrary intensities and frequencies by solving the Schrödinger equation via a space translation method.
Applied a space translation operation to the time-dependent Schrödinger equation describing an atom interacting with an electromagnetic field.
Formulated an analytical N-photon transition matrix (T-matrix) to describe multiple photon absorption events.
Evaluated the formulation under low-intensity limits and determined the mathematical conditions governing the method's validity.
Derived an N-photon T-matrix expression that directly incorporates standard single-photon matrix elements from conventional perturbation theory.
Demonstrated that the non-perturbative transition probabilities exactly reduce to standard perturbative results in the limit of low laser intensity.
Established the explicit boundary conditions and criteria required for applying the space translation framework.

Cite This Study

F. H. M. Faisal (1973) studied this question.

synapsesocial.com/papers/6a191d71296f34002fd945fa https://doi.org/10.1088/0022-3700/6/4/011

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April 1, 1973Journal of Physics B Atomic and Molecular Physics

Multiple absorption of laser photons by atoms

View Full Paper

Ask AI

Bookmark

Authors

FFF. H. M. FaisalBielefeld University

Discussion

Member takes

Implication

Theoretical analysis demonstrates multiphoton absorption probabilities for atoms under arbitrary laser fields, indicating consistent convergence with perturbation theory at low intensities.

Key Points

To calculate the probability of atomic multiphoton absorption from a monochromatic laser beam across arbitrary intensities and frequencies by solving the Schrödinger equation via a space translation method.
Applied a space translation operation to the time-dependent Schrödinger equation describing an atom interacting with an electromagnetic field.
Formulated an analytical N-photon transition matrix (T-matrix) to describe multiple photon absorption events.
Evaluated the formulation under low-intensity limits and determined the mathematical conditions governing the method's validity.
Derived an N-photon T-matrix expression that directly incorporates standard single-photon matrix elements from conventional perturbation theory.
Demonstrated that the non-perturbative transition probabilities exactly reduce to standard perturbative results in the limit of low laser intensity.
Established the explicit boundary conditions and criteria required for applying the space translation framework.

Cite This Study

F. H. M. Faisal (1973) studied this question.

synapsesocial.com/papers/6a191d71296f34002fd945fa https://doi.org/10.1088/0022-3700/6/4/011

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