Published December 1980
| public
Journal Article
Coupling Constant Thresholds in Nonrelativistic Quantum Mechanics. I. Short-Range Two-Body Case
- Creators
- Klaus, M.
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Simon, Barry
Chicago
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Abstract
Consider −Δ + λV with V short range at a value λ_0 where some eigenvalue e(λ) → 0 as λ ↓ λ_0. We analyze two questions: (i) What is the leading order of e(λ), i.e., for what α does e(λ) ∼ c(λ − λ_0)^α? (ii) Is e(λ) analytic at λ = λ_0 and, if not, what is the natural expansion parameter? The results are highly dimension dependent.
Additional Information
© 1980 Published by Elsevier. Received April 4, 1980; revised May 16, 1980. Research supported by Swiss National Science Foundation. Research supported by USNSF Grant MCS-78-01885. We should like to thank J. Morgan III and R. Newton for valuable discussions. One of us (B.S.) would like to thank the Technion Physics Department for its hospitality during the completion of this work.Additional details
- Eprint ID
- 86522
- DOI
- 10.1016/0003-4916(80)90338-3
- Resolver ID
- CaltechAUTHORS:20180521-150501792
- Swiss National Science Foundation (SNSF)
- NSF
- MCS-78-01885
- Created
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2018-05-21Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field