ABSTRACT
Integer and fractional quantum monodromy is interpreted as a defect of the regular lattice of quantum states. Qualitatively different patterns of quantum states due to the presence of monodromy for integrable approximations are introduced for systems with two and three degrees of freedom. Quantum monodromy for effective Hamiltonians describing the vibrational structure of https://www.w3.org/1998/Math/MathML"> C O 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq9419.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> molecule possessing 1:1:2 resonance is demonstrated as a concrete molecular example.
