Adiabatic-diabatic approach to vibrational inelastic scattering: Theory and study of a simple collinear model
Journal Article
·
· J. Chem. Phys.; (United States)
The quantum mechanical problem of the vibrational excitation of a harmonic oscillator in one dimension is treated with an adiabatic basis set. The Smith transformation (Phys. Rev. 179, 111 (1969)) is used to eliminate the dynamical coupling terms and leads to a new diabatic representation. The rate of convergence of calculated transition probabilities in the new diabatic representation is compared with calculations based on the usual asymptotic representation for a variety of different mass combinations and collision energies. These calculations revealed that: (i) the new diabatic potential matrix converges to the usual asymptotic one as the size of the adiabatic basis set becomes large enough; (ii) the transition probabilities converge much faster than the potential matrix elements and faster than those calculated by the usual method. Typically only about two states more than the upper state considered are required whereas in the usual representation many more states are needed, several of which are frequently closed.
- Research Organization:
- Max-Planck-Institut fuer Stroemungsforschung, 3400 Goettingen, Federal Republic of Germany
- OSTI ID:
- 5056487
- Journal Information:
- J. Chem. Phys.; (United States), Journal Name: J. Chem. Phys.; (United States) Vol. 73:4; ISSN JCPSA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC APPROXIMATION
ATOM COLLISIONS
ATOM-MOLECULE COLLISIONS
COLLISIONS
ENERGY LEVELS
ENERGY TRANSFER
ENERGY-LEVEL TRANSITIONS
EXCITATION
EXCITED STATES
HARMONIC OSCILLATOR MODELS
MATHEMATICAL MODELS
MECHANICS
MOLECULE COLLISIONS
MOLECULE-MOLECULE COLLISIONS
QUANTUM MECHANICS
VIBRATIONAL STATES
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC APPROXIMATION
ATOM COLLISIONS
ATOM-MOLECULE COLLISIONS
COLLISIONS
ENERGY LEVELS
ENERGY TRANSFER
ENERGY-LEVEL TRANSITIONS
EXCITATION
EXCITED STATES
HARMONIC OSCILLATOR MODELS
MATHEMATICAL MODELS
MECHANICS
MOLECULE COLLISIONS
MOLECULE-MOLECULE COLLISIONS
QUANTUM MECHANICS
VIBRATIONAL STATES