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dc.creatorChild, M. S.en_US
dc.date.accessioned2006-06-15T20:16:41Z
dc.date.available2006-06-15T20:16:41Z
dc.date.issued2001en_US
dc.identifier2001-WE-01en_US
dc.identifier.urihttp://hdl.handle.net/1811/20277
dc.description$^{a}$M S Child in `Computational Molecular Spectroscopy', Eds P Jensen and P R Bunker (Wiley, 2000) $^{b}$M S Child, T Weston and J Tennyson, Mol Phys, 96, 371 (1999)en_US
dc.descriptionAuthor Institution: Dept. of Chemistry, Physical and Theoretical Chemistry Laboratoryen_US
dc.description.abstractIt is well known that certain wavefunctions follow the shapes of classical trajectories close to stable classical periodic orbits. This paper concerns a deeper relationship between the organization of quantum mechanical eigenvalues and the number and types of classical periodic orbits, illustrated by reference to effective spectroscopic $Hamiltonians^{a}$. The simplest cases are perhaps the local stretching states of $H_{2}O$ or $H_{2}S$, for which one sees a pattern of progressively close local mode doublets at energies below the separatrix associated with an unstable orbit, and an increasingly regular pattern of energy separations above it. Similar, but more complex behavior is found in highly excited Fermi resonance polyads. There is also a classically related generic pattern (termed quantum $monodromy^{b}$) in the level structures arising from any cylindrically symmetric saddle point. Examples will be given for the bent to linear states of $H_{2}O$, pendular states of dipolar molecules in electric fields and highly excited Fermi resonant states of $CO_{2}$.en_US
dc.format.extent527834 bytes
dc.format.mimetypeimage/jpeg
dc.language.isoEnglishen_US
dc.publisherOhio State Universityen_US
dc.titleQUANTUM LEVEL STRUCTURES AND NON-LINEAR CLASSICAL DYNAMICSen_US
dc.typearticleen_US


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