Sensitivity analysis for quantum eigenvalues of bound systems

J. Brickmann*, R. D. Levine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The sensitivity of the eigenvalues Ei of a non-integrable Hamiltonian measured by their second differences or second derivatives d2Ei/dλ2 with respect to a coupling parameter λ is studied for the regular and the irregular part of the spectrum as well as for the range of isolated avoided crossings. In the regular part the d2Ei/dλ2 values are expected to be arranged on branches in a plot versus energy: in the avoided-crossing range there should be a drastic increase, and for the irregular part a decrease and a breakdown of the branching is predicted.

Original languageEnglish
Pages (from-to)252-256
Number of pages5
JournalChemical Physics Letters
Volume120
Issue number3
DOIs
StatePublished - 11 Oct 1985

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