Campus Units

Physics and Astronomy, Mathematics, Ames Laboratory

Document Type

Article

Publication Version

Published Version

Publication Date

1983

Journal or Book Title

Journal of Mathematical Physics

Volume

24

Issue

5

First Page

1160

Last Page

1162

DOI

10.1063/1.525845

Abstract

For the three‐particle, two‐cluster, 2×2 channel coupling Hamiltonians used, e.g., in H+2 and He bound‐state calculations, we demonstrate that typically there exist unique eigenvectors for all bound states. This result also holds, with some technical assumptions on the potentials, for the corresponding 3×3 case provided there are no spurious eigenvectors with bound‐state eigenvalues. The proofs use the analogous results for the corresponding Faddeev‐type Hamiltonians together with spurious multiplier relationships.

Comments

This article is published as Evans, J. W. "Existence and uniqueness of bound‐state eigenvectors for some channel coupling Hamiltonians." Journal of Mathematical Physics 24, no. 5 (1983): 1160-1162, doi:10.1063/1.525845. Posted with permission.

Copyright Owner

American Institute of Physics

Language

en

File Format

application/pdf

Included in

Physics Commons

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