Some results in algebraic scattering theory

Journal Article · Mon Jan 01 04:00:00 EST 1973 · Ann. Inst. Henri Poincare, Sect. A, v. 18, no. 3, pp. 215-226

OSTI ID:4316674

Mourre, E

Some results of the the dependent formalism in scattering theory are presented. The asymptotic condition with an observable algebra A acting on a small Hilbert space, h, is imposed. H is given by H = H/sub 0/ + V, where H/sub 0/ is the free Hamiltonian on h and V the potential present. The demonstrations given are based on the convergence properties of the spectral measurements associated with the vectors, exp(-iHt) psi, psi being the scattering state. It is shown thnt the OMEGA /sup plus or minus / operators plus or minus infinity), where g belongs to a group of dense h vectors and where T/sub t/ is a family of limited operators in A. A necessary and sufficient condition is given for OMEGA /sup plus or minus / to exist and to permit a choice of T/sub t/ unitary operators to be made. (auth)

• Research Organization: CNRS, Paris
• NSA Number: NSA-29-022699
• OSTI ID: 4316674
• Journal Information: Ann. Inst. Henri Poincare, Sect. A, v. 18, no. 3, pp. 215-226, Journal Name: Ann. Inst. Henri Poincare, Sect. A, v. 18, no. 3, pp. 215-226; ISSN AHPAA
• Country of Publication: France
• Language: French

Related Subjects

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POTENTIAL SCATTERING
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