Expansion of the propagator in power series of the coupling constant

Journal Article · Thu Feb 01 04:00:00 EST 1979 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524070· OSTI ID:6504424

Perez, R B

We show by simple rearrangements of the Lippmann--Schwinger equation, that the propagator (Green's function) of a linear physical field can be expanded in power series valid for values of the coupling constant either close to unity or very large. The new series satisfy the generalized resolvent operator equation first derived by Mockel.

• Research Organization: Engineering Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830
• OSTI ID: 6504424
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 20:2; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING CONSTANTS
EQUATIONS
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
MATHEMATICAL OPERATORS
MECHANICS
NEUMANN SERIES
PROPAGATOR
QUANTUM MECHANICS
QUANTUM OPERATORS
SERIES EXPANSION