Transition from time-dependent to time-independent multichannel quantum scattering theory

Journal Article · Mon Oct 01 00:00:00 EDT 1973 · J. Math. Phys. (N.Y.), v. 14, no. 10, pp. 1328-1335

DOI:https://doi.org/10.1063/1.1666185· OSTI ID:4397734

Chandler, C; Gibson, A G

Rigorous proofs are given of several theorems establishing the connection between time-dependent and time-independent multichannel scattering theory. The method of proof involves a two-Hilbert-space fomulation of time- dependent multichannel theory and the theory of spectral integrals. In particular, the time-independcnt theory in the form proposed by Alt, Grassberger, and Sandhas is derived. (auth)

• Research Organization: Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-006307
• OSTI ID: 4397734
• Journal Information: J. Math. Phys. (N.Y.), v. 14, no. 10, pp. 1328-1335, Journal Name: J. Math. Phys. (N.Y.), v. 14, no. 10, pp. 1328-1335; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

*SCATTERING-- TIME DEPENDENCE
HILBERT SPACE
N64500* --Physics (High Energy)--Scattering Theory
QUANTUM MECHANICS
QUANTUM OPERATORS
TOPOLOGY