Special topics in atomic physics

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1987

OSTI ID:5245332

Tang, A Z

Within the framework of nonrelativistic quantum mechanics, the analysis of the two-photon absorption by atomic hydrogen is generalized to the case of two incident beams with arbitrary direction and polarization. In the dipole approximation, exact calculation of the angular part of the second-order matrix element responsible for two-photon absorption predicts that, for the s-s transition only, transparency is obtained regardless of the frequencies of the two beams with perpendicular polarizations. In addition, circularly polarized light is found to be more efficient for the s-d two-photon transition. The radial parts of the matrix elements are accurately evaluated by using the Coulomb Green's function technique and an implicit technique of Dalgarno and Lewis. Their calculation indicates that zeros exist in the two-photon absorption spectrum, thereby predicting that absorption is not possible at certain frequencies. An expression for the lifetime of excited atomic states taking account of contributions due to nonresonant two-photon transitions is derived. Explicit integration of the two-photon emission is not required. The results are applied to the case of the hydrogen atom. Using an integral representation involving the radial Coulomb Green's function an analytic closed-form expression is derived for the dynamic multipole polarizability of atomic hydrogen in an arbitrary state. The shifted 1/N expansion method is applied to the Hulthen potential and the Morse potential.

• Research Organization: Arkansas Univ., Fayetteville, AR (USA)
• OSTI ID: 5245332
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION SPECTRA
ANALYTICAL SOLUTION
ATOMIC PHYSICS
ATOMS
COMPARATIVE EVALUATIONS
ELECTRICAL PROPERTIES
ELEMENTS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
GREEN FUNCTION
HYDROGEN
MECHANICS
MOLECULES
MORSE POTENTIAL
MULTI-PHOTON PROCESSES
NONMETALS
PERTURBATION THEORY
PHYSICAL PROPERTIES
PHYSICS
POLARIZABILITY
POLARIZATION
POTENTIALS
QUANTUM MECHANICS
SPECTRA