Abstract
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 contribution | Quantum monodromy in the two-centre problem |
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Original language | English |
Pages (from-to) | L307 - L314 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 36(20) |
Publication status | Published - 23 May 2003 |
Bibliographical note
Publisher: IOP Publishing LtdOther identifier: IDS number 690HA