Campus Units

Physics and Astronomy, Mathematics, Chemistry, Ames Laboratory

Document Type

Article

Publication Version

Published Version

Publication Date

1981

Journal or Book Title

Journal of Mathematical Physics

Volume

22

Issue

12

First Page

2858

Last Page

2871

DOI

10.1063/1.525167

Abstract

Faddeev type equations are considered in differential form as eigenvalue equations for non‐self‐adjoint channel space (matrix) Hamiltonians HF. For these equations in both the spatially confined and infinite systems, the nature of the spurious (nonphysical) solutions is obvious. Typically, these together with the physical solutions (given extra technical assumptions) generate a regular biorthogonal system for the channel space. This property may be used to provide an explicit functional calculus for the then real eigenvalue scalar spectral HF, to show that ±iHF generate uniformly bounded C0 semigroups and to simply relate HF to self‐adjoint Hamiltonian‐like operators. These results extend to the four‐channel Faddeev type equations where the breakup channel is included explicitly.

Comments

This article is published as Evans, J. W., and D. K. Hoffman. "Faddeev’s equations in differential form: Completeness of physical and spurious solutions and spectral properties." Journal of Mathematical Physics 22, no. 12 (1981): 2858-2871, doi:10.1063/1.525167. Posted with permission.

Copyright Owner

American Institute of Physics

Language

en

File Format

application/pdf

Included in

Physics Commons

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