Quantum monodromy in the two-centre problem

H Waalkens, A Junge, HR Dullin

Research output: Contribution to journalArticle (Academic Journal)peer-review

28 Citations (Scopus)


Using modem tools from the geometric theory of Hamiltonian systems it is shown that electronic excitations in diatoms which can be modelled by the two-centre problem exhibit a complicated case of classical and quantum monodromy. This means that there is an obstruction to the existence of global quantum numbers in these classically integrable systems. The symmetric case of H-2(+) and the asymmetric case of H He++ are explicitly worked out. The asymmetric case has a non-local singularity causing monodromy. It coexists with a second singularity which is also present in the symmetric case. An interpretation of monodromy is given in terms of the caustics of invariant tori.
Translated title of the contributionQuantum monodromy in the two-centre problem
Original languageEnglish
Pages (from-to)L307 - L314
JournalJournal of Physics A: Mathematical and General
Publication statusPublished - 23 May 2003

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS number 690HA

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