Fractional bidromy in the vibrational spectrum of HOCl

Abstract

We introduce the notion of fractional bidromy which is the combination of fractional monodromy and bidromy, two recent generalizations of Hamiltonian monodromy. We consider the vibrational spectrum of the HOCl molecule which is used as an illustrative example to show the presence of nontrivial fractional bidromy. To our knowledge, this is the first example of a molecular system where such a generalized monodromy is exhibited.

arXiv comment9 pages, 2 figues

References in corpus (3)

• Experimental demonstration of classical Hamiltonian monodromy in the 1:1:2 resonant elastic pendulum
• Fractional Hamiltonian Monodromy from a Gauss-Manin Monodromy
• Non-uniqueness of phase shift in central scattering due to monodromy

Cited by in corpus (5)

• Defect in the Joint Spectrum of Hydrogen due to Monodromy
• Classical and quantum rotation numbers of asymmetric top molecules
• The height invariant of a four-parameter semitoric system with two focus-focus singularities
• Quantum Monodromy in the Isotropic 3-Dimensional Harmonic Oscillator
• Symplectic theory of completely integrable Hamiltonian systems