Variational scattering theory using a functional of fractional form. I. General theory

Journal Article · Fri May 01 04:00:00 EDT 1981 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.23.2352· OSTI ID:6435965

Takatsuka, K; McKoy, V

We propose a variational method for scattering in which the functional is of a fractional form as for the Schwinger variational principle. However, our functional does not involve the Green's function, but the Hamiltonian and the potential function. This method shows features of both the Schwinger-type variational principles and the Kohn-type standard variational principles. As a result, our method can derive distinct advantages from both of these approaches. The resultant K matrix is symmetric and anomaly-free. Some other properties, including a minimum principle, which is useful in the selection of an optimum basis for the expansion of the scattering functions are also discussed.

• Research Organization: Arthur Amos Noyes Laboratory of Chemical Physics, California Institute of Technology, Pasadena, California 91125
• OSTI ID: 6435965
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 23:5; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOM COLLISIONS
COLLISIONS
FUNCTIONALS
FUNCTIONS
GREEN FUNCTION
MECHANICS
QUANTUM MECHANICS
SCATTERING
VARIATIONAL METHODS
WAVE FUNCTIONS