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On the application of the adiabatic invariance method for the identification of “quantum chaos”

✍ Scribed by Gert Due Billing; Georges Jolicard

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
442 KB
Volume
155
Category
Article
ISSN
0009-2614

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✦ Synopsis

The quantum-mechanical adiabatic invariance method is applied to the H&non-Heiles Hamiltonian and used to discuss the criteria for a quantum analog to classical chaotic motion.

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On the adiabatic and exact invariants of
On the adiabatic and exact invariants of some special Hamiltonians
✍ J.P Ottoy; R Mertens 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 703 KB

The first few terms of the adiabatic invariant series are calculated for a Hamiltonian of the special form H = +p\* + f h(q, T) dq (T = st, E < 1.) We also look for the conditions under which a recursion relation for the successive terms of this adiabatic invariant series can be constructed, especia