Exact partial wave analysis for scattering by a segmented potential

Journal Article · Fri Mar 01 04:00:00 EST 1991 · American Journal of Physics; (USA)

DOI:https://doi.org/10.1119/1.16567· OSTI ID:5862867

Kalotas, T M; Lee, A R; Howard, V E ^[1]

---

1. Department of Physics, La Trobe University, Bundoora, Victoria 3083, Australia (CA)

By approximating the scattering potential in the {ital l}th partial wave equation with a series of constant segments, an exact solution in terms of spherical Bessel and Neumann functions becomes available. Continuity at the segment boundaries is achieved with the aid of a simple 2{times}2 matrix formalism and leads to exact expressions for the scattering phase shifts.

• OSTI ID: 5862867
• Journal Information: American Journal of Physics; (USA), Journal Name: American Journal of Physics; (USA) Vol. 59:3; ISSN AJPIA; ISSN 0002-9505
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BESSEL FUNCTIONS
DIFFERENTIAL EQUATIONS
ELASTIC SCATTERING
EQUATIONS
FUNCTIONS
MECHANICS
NEUMANN SERIES
PARTIAL DIFFERENTIAL EQUATIONS
PARTIAL WAVES
POTENTIAL SCATTERING
QUANTUM MECHANICS
SCATTERING
SCHROEDINGER EQUATION
SERIES EXPANSION
WAVE EQUATIONS