VARIATIONAL PRINCIPLES FOR THE WAVE FUNCTION IN SCATTERING THEORY

Journal Article · Sat Mar 01 04:00:00 EST 1958 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.109.1830· OSTI ID:4343414

Altshuler, S

Variational principles are designed for the solution of the Schroedinger equation when a point source is placed in the presence of an inhomogeneous, absorbing medium represented by an arbitrary complex potential function. When the point source is allowed to recede to infinity, these stationary structures reduce to variational principles for the wave function in the standard scattering problem, namely the outgoing solution to the Schroedinger equatlon for an incident plane wave. Finally in the asymptotic region, the well-known bifunctional variational principles for the transition amplitudes arise automatically from the stationary forms for the wave function describing the standard scattering problem. A few examples leading to variationally improved wave functions are discussed. (auth)

• Research Organization: Ramo-Wooldridge Corp., Los Angeles
• NSA Number: NSA-12-008219
• OSTI ID: 4343414
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 109; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DENSITY
DIFFERENTIAL EQUATIONS
GASES
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MATHEMATICS
MOTION
PHYSICS
PRESSURE
SHOCK WAVES