Off-the-mass shell scattering amplitude in a two-particle potential model

Journal Article · Thu Dec 31 23:00:00 EST 1981 · Am. J. Phys.; (United States)

DOI:https://doi.org/10.1119/1.12985· OSTI ID:5791538

Coutinho, F A.B.

In the textbooks of elementary quantum mechanics, two-particle scattering is treated by introducing the concept of off-the-energy shell scattering amplitude. On the other hand, in relativistic quantum field theory, the need to treat momentum and energy on the same footing forces one to use an off-the-mass shell scattering amplitude. We believe the introducing the off-the-mass shell extrapolation of the scattering amplitude in nonrelativistic quantum mechanics should be illuminating. We try to show this in this paper.

• Research Organization: Departamento de Fisica Matematica, Instituto de Fisica, Universidade de Sao Paulo, Cp 20516, CEP 05508, Sao Paulo, Brasil
• OSTI ID: 5791538
• Journal Information: Am. J. Phys.; (United States), Journal Name: Am. J. Phys.; (United States) Vol. 50:1; ISSN AJPIA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
ELASTIC SCATTERING
EQUATIONS
INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
MATRICES
MECHANICS
PERTURBATION THEORY
POTENTIAL SCATTERING
QUANTUM MECHANICS
S MATRIX
SCATTERING
SCATTERING AMPLITUDES