Special topics in atomic physics

Thesis/Dissertation · Thu Jan 01 00:00:00 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
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

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