Formal scattering theory by an algebraic approach
Technical Report
·
OSTI ID:5569582
Formal scattering theory is recast in a Lie-algebraic form. The central result is an algebraic Lippmann-Schwinger equation for the wave operator from which an algebraic form of the Born series (containing only linked terms) is obtained. When a finite Lie algebra is sufficient, the Moller wave operator, on the energy shell, can be solved for explicitly as an element of the corresponding group. The method is illustrated for the separable potential whose relevant algebra is found to be U(1,1).
- Research Organization:
- Massachusetts Inst. of Tech., Cambridge (USA). Dept. of Chemistry
- OSTI ID:
- 5569582
- Report Number(s):
- AD-A-167160/1/XAB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BORN APPROXIMATION
DIFFERENTIAL EQUATIONS
EQUATIONS
INELASTIC SCATTERING
INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
RESONANCE SCATTERING
SCATTERING
WAVE EQUATIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BORN APPROXIMATION
DIFFERENTIAL EQUATIONS
EQUATIONS
INELASTIC SCATTERING
INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
RESONANCE SCATTERING
SCATTERING
WAVE EQUATIONS