Molecular transition probabilities for time-dependent, bilinear Hamiltonians in many dimensions: A recursive procedure

Journal Article · Sat Jul 01 00:00:00 EDT 1989 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.40.74· OSTI ID:5898268

Fernandez, F M; Micha, D A; Echave, J

Vibrational transitions in collisions of two polyatomic systems aredescribed in terms of a Hamiltonian bilinear in momentum and positionoperators, for several degrees of freedom. The relative motion is assumed to beclassical and leads to time-dependent coefficients in the Hamiltonian. Thepresent treatment employs a simple procedure that does not require theconstruction of the time-evolution operator and leads to recursion relationsfor transition amplitudes, suitable for numerical applications. As examples, weconsider the special cases of a single degree of freedom, and of the linearlydriven harmonic oscillator.

• Research Organization: Department of Chemistry and Department of Physics, University of Florida, Gainesville, Florida 32611(US)
• OSTI ID: 5898268
• Journal Information: Phys. Rev. A; (United States), Vol. 40:1
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
MOLECULE-MOLECULE COLLISIONS
ENERGY-LEVEL TRANSITIONS
HAMILTONIANS
POLYATOMIC MOLECULES
PROBABILITY
RECURSION RELATIONS
TRANSITION AMPLITUDES
VIBRATIONAL STATES
AMPLITUDES
COLLISIONS
ENERGY LEVELS
EXCITED STATES
MATHEMATICAL OPERATORS
MOLECULE COLLISIONS
MOLECULES
QUANTUM OPERATORS
640304* - Atomic
Molecular & Chemical Physics- Collision Phenomena