Remarks Concerning Reciprocity in Quantum Mechanics

Journal Article · Wed Jan 01 04:00:00 EST 1964 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1704136· OSTI ID:4067602

Bilhorn, D. E.; Foldy, L. L.; Thaler, R. M.; Tobocman, W.; Madsen, V. A.

A new derivation of the reciprocity theorem is given. The general invariance property of the hamiltonian which leads to symmetry of the Green's function for a quantum mechanical system is exhibited. It is found that reciprocity does not necessarily imply Hermiticity of the hamiltonian, so that the complex optical model potential,'' for example, satisfies the reciprocity relations. The concept of reciprocity is then generalized to include a somewhat wider class of symmetry properties. Some properties of antiunitary transformations are discussed.

• Research Organization: Originating Research Org. not identified
• Sponsoring Organization: USDOE
• NSA Number: NSA-18-016802
• OSTI ID: 4067602
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 5; ISSN JMAPAQ; ISSN 0022-2488
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
GREEN FUNCTION
GROUP THEORY
HAMILTONIAN
INVARIANCE PRINCIPLE
MATHEMATICS
QUANTUM MECHANICS
REPRODUCTION
SYMMETRY