Reciprocity in Quantum Mechanics

Technical Report · Thu Aug 01 04:00:00 EDT 1963

DOI:https://doi.org/10.2172/4101731· OSTI ID:4101731

Bilhorn, D. E. ^[1]; Foldy, L. L. ^[1]; Madsen, V. A. ^[2]; Thaler, R. M. ^[2]; Tobocman, W. ^[2]

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1. Case Inst. of Technology, Cleveland, OH (United States)
2. Case Inst. of Technology, Cleveland, OH (United States); NASA Lewis Research Center, Cleveland, OH (United States)

This report presents a new derivation of the generalized reciprocity theorem of quantum mechanics. In most branches of physics, reciprocity refers to a symmetry condition on a Green's function, whereas in quantum mechanics the term is used to denote a condition on scattering amplitude or on the S-matrix. The derivation given here relates these two points of view by first deriving a generalized symmetry condition on the quantum mechanical Green's function, and from it obtaining a condition on the scattering amplitude.

• Research Organization: NASA Lewis Research Center, Cleveland, OH (United States)
• Sponsoring Organization: National Aeronautics and Space Administration (NASA)
• NSA Number: NSA-18-012971
• OSTI ID: 4101731
• Report Number(s): NASA-TN-D--1985
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALUMINUM
ALUMINUM ALLOYS
COPPER ALLOYS
DEFORMATION
DIFFERENTIAL EQUATIONS
DUCTILITY
FIELD THEORY
GREEN FUNCTION
HAMILTONIAN
HEAT TREATMENTS
INSTRUMENTS
INVARIANCE PRINCIPLE
MAGNESIUM ALLOYS
MANGANESE ALLOYS
MATHEMATICS
MEASURED VALUES
QUANTITATIVE ANALYSIS
QUANTUM MECHANICS
REPRODUCTION
SILICIDES
STABILITY
SYMMETRY
TEMPERATURE