Quantum-Mechanical Transition-Complex Theory of Rearrangement Collisions
The theory of rearrangement collisions is discussed in applications to bimolecular chemical reactions, using the method of stationary-state solutions to the Sunhrodinger equation to avoid the perplexities associated with the nonorthogonality of initial and final states. The analysis employed is originally due to Gerjuoy STAE. Gerjuay, Phys. Rev. 109: 1806(1958); Ann. Phys. (N.Y.) 5: 58(1958)!. The usual results of the formal theory of scattering, involving the transition matrix element, are derived, and a further explicit development of the theory is given which permits the use of a model Hamiltonian to represent the reacting system. Several alternate expressions are obtained for the transition matrix element, involving the use of the transition complex'' eigenfunctions as an approximate basis for expansion of the state vector; and an approximate expansion in ascending orders of virtual reactive scatterings'' is introduced as a method for rapidly expanding the state vector.
- Research Organization:
- Massachusetts Inst. of Tech., Cambridge
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-028956
- OSTI ID:
- 4794538
- Journal Information:
- Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 2 Vol. 37; ISSN JCPSA6; ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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