An extended Levinson's theorem

Journal Article · Tue Mar 01 04:00:00 EST 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523287· OSTI ID:7124235

Osborn, T A; Bolle, D

We investigate the form Levinson's theorem takes when the two-body scattering amplitude is not decomposed into partial waves. It is found that the theorem changes its structure in this case and is not merely the sum over angular momentum of the well-known partial wave results. The energy dependent quantity that replaces the partial wave phase shift turns out to be the trace of the two-body time delay operator. This extended version of the theorem remains valid for scattering by nonspherically symmetric potentials.

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• OSTI ID: 7124235
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:3; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ELASTIC SCATTERING
ENERGY DEPENDENCE
HAMILTONIANS
LEVINSON THEOREM
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
POTENTIAL SCATTERING
QUANTUM OPERATORS
SCATTERING
SCATTERING AMPLITUDES
TWO-BODY PROBLEM