Multichannel stationary scattering theory in two-Hilbert space formulation

Journal Article · Sun Jul 01 00:00:00 EDT 1973 · J. Math. Phys. (N.Y.), v. 14, no. 7, pp. 957-962

DOI:https://doi.org/10.1063/1.1666422· OSTI ID:4417640

Prugovecki, E

Two-Hilbert space versions of the basic integral-representation formulas for wave and transition operators are derived within the framework of time- independent scattering theory. Multichannel scatterINg theory for state vectors as well as for statistical operators is presented in a two-Hilbert space formulation to which these formulas become applicable. This formulation stays valid when long-range interactions, for which renormalized wave operators exist, are present. (auth)

• Research Organization: Univ. of Toronto
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-003639
• OSTI ID: 4417640
• Journal Information: J. Math. Phys. (N.Y.), v. 14, no. 7, pp. 957-962, Journal Name: J. Math. Phys. (N.Y.), v. 14, no. 7, pp. 957-962; ISSN JMAPA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

*SCATTERING-- HILBERT SPACE
INTEGRALS
INTERACTION RANGE
MATHEMATICAL OPERATORS
N64500* --Physics (High Energy)--Scattering Theory
QUANTUM OPERATORS
RENORMALIZATION
STATISTICS
VECTORS