Analytic solutions to two-state collision problems for the case of exponential coupling
Journal Article
·
· Phys. Rev. A; (United States)
Analytic solutions to two-state collision problems are obtained for systems in which the interaction matrix element of the Hamiltonian displays an exponential variation with time. When the difference in the diagonal matrix elements is either constant or governed by the same exponential function, exact analytic solutions can be found. When it is in the form of a constant plus an exponential term, the case of practical importance, an approximate solution is obtained based upon these exact solutions. The solution is used to calculate cross sections for fine-structure transitions in atomic collisions (Na-He, F-Xe, F-H/sup +/).
- Research Organization:
- Department of Physics, Oakland University, Rochester, Michigan 48063
- OSTI ID:
- 6876562
- Journal Information:
- Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 29:5; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Nonadiabatic transmission: Exact quantum-mechanical solution for a special case of the two-state exponential model
Matrix-exponential description of radiative transfer
Radial matrix elements with Dirac`s functions in the theory of fine and hyperfine structures of hydrogen-like systems
Journal Article
·
Tue Feb 14 23:00:00 EST 2006
· Physical Review. A
·
OSTI ID:20974584
Matrix-exponential description of radiative transfer
Journal Article
·
Tue Mar 31 23:00:00 EST 1981
· J. Opt. Soc. Am.; (United States)
·
OSTI ID:6531536
Radial matrix elements with Dirac`s functions in the theory of fine and hyperfine structures of hydrogen-like systems
Journal Article
·
Sun Sep 15 00:00:00 EDT 1996
· International Journal of Modern Physics B
·
OSTI ID:398291
Related Subjects
640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ALKALI METALS
ANALYTICAL SOLUTION
ATOM COLLISIONS
ATOM-ATOM COLLISIONS
CATIONS
CHARGED PARTICLES
COLLISIONS
COUPLING
CROSS SECTIONS
ELEMENTS
FINE STRUCTURE
FLUIDS
FLUORINE
GASES
HALOGENS
HAMILTONIANS
HELIUM
HYDROGEN IONS
HYDROGEN IONS 1 PLUS
ION COLLISIONS
ION-ATOM COLLISIONS
IONS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
METALS
NONMETALS
QUANTUM OPERATORS
RARE GASES
SODIUM
XENON
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ALKALI METALS
ANALYTICAL SOLUTION
ATOM COLLISIONS
ATOM-ATOM COLLISIONS
CATIONS
CHARGED PARTICLES
COLLISIONS
COUPLING
CROSS SECTIONS
ELEMENTS
FINE STRUCTURE
FLUIDS
FLUORINE
GASES
HALOGENS
HAMILTONIANS
HELIUM
HYDROGEN IONS
HYDROGEN IONS 1 PLUS
ION COLLISIONS
ION-ATOM COLLISIONS
IONS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
METALS
NONMETALS
QUANTUM OPERATORS
RARE GASES
SODIUM
XENON