NEW SERIES FOR PHASE SHIFT IN POTENTIAL SCATTERING

Journal Article · Mon Jul 01 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys.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.131.396· OSTI ID:4694852

Rosendorff, S; Tani, S

A new series for the phase shift was derived for the Schrodinger, Klein- Gordon, and Dirac equations. This series converges faster than the Born series for the tangent of the phase shift. This is so because the sum of the first n terms in the new series includes exactly all the terms up to the 2(2/sup n/-- 1)th order in the Born series. Under the condition that is tantamount to that the phase shift cannot be larger than 63 c- , the series converges absolutely. At high energies the series can be analytically continued with respect to the strength of the potential beyond such a limit. it is shown that the high-energy limit of the phase shift is given by its first Born approximation and that the difference between even and noneven potentials is reflected in the respective phase shifts to all orders. (auth)

• Research Organization: Univ. of Rochester, N.Y.
• NSA Number: NSA-17-026349
• OSTI ID: 4694852
• Report Number(s): NYO-10256; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 131; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BORN APPROXIMATION
DIFFERENTIAL EQUATIONS
DIRAC EQUATIONS
ELEMENTARY PARTICLES
MATHEMATICS
MOTION
PERTURBATION THEORY
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
SCATTERING
SCHROEDINGER EQUATION
SPECTRAL SHIFT