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math-ph2020
Recent advances in the monodromy theory of integrable Hamiltonian systems
Nikolay Martynchuk, Henk W. Broer, Konstantinos Efstathiou
The notion of monodromy was introduced by J. J. Duistermaat as the first obstruction to the existence of global action coordinates in integrable Hamiltonian systems. This invariant…
math-ph2019
Hamiltonian monodromy and Morse theory
Nikolay Martynchuk, Henk W. Broer, Konstantinos Efstathiou
We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the sys…
math-ph2018
Quantum Monodromy in the Isotropic 3-Dimensional Harmonic Oscillator
Irina Chiscop, Holger R. Dullin, Konstantinos Efstathiou +1
The isotropic harmonic oscillator in dimension 3 separates in several different coordinate systems. Separating in a particular coordinate system defines a system of three commuting…