Fractional bidromy in the vibrational spectrum of HOCl

TL;DR

This paper introduces fractional bidromy, a new concept combining fractional monodromy and bidromy, demonstrated through the vibrational spectrum of HOCl, marking the first molecular example of this phenomenon.

Contribution

The paper presents the concept of fractional bidromy and provides the first molecular example, expanding the understanding of Hamiltonian monodromy in molecular spectra.

Findings

Identification of fractional bidromy in HOCl vibrational spectrum

First molecular system exhibiting fractional bidromy

Demonstration of nontrivial generalized monodromy in molecules

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.