Sensitivity analysis for quantum eigenvalues of bound systems

✍ Scribed by J. Brickmann; R.D. Levine

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 367 KB
• Volume: 120
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(85)87052-4

✦ Synopsis

Rccei\*ed 20 June 19X5 The sensiti\ily of Ihe eigenvalues I?, of a non-integrable Hamiltonian measured by their second differences or second dcrknivcs d'E;/dA' with rcsprc~ LO a coupling pammewr h is sudied for the regular and Ihe irregular part of the spectrum as w!II as for Ihe rang< of iFolared avoided crossings. In the regular part the d'E,/dA' values are expecwd LO be arranged on branches in a plot versus energy: in the avoided-crossing range there should be a drastic increase. and for the irregular psr~ a decrease and a breakdown of the branching is predicwd.