417 citations · 1.6k across the 72 of their papers we have counts for
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Rotationally Symmetric Zoll Metrics with a Cubic Integral
Holger R. Dullin, Vladimir S. Matveev, Gleb P. Palshin +1
We introduce a new method for constructing Zoll metrics that admit first integrals polynomial in the momenta. The method uses Funk's form of the metric together with an algebraic r…
Quantum Integrable Systems arising from Separation of Variables on S3
Sean Dawson, Holger Dullin
We study the family of quantum integrable systems that arise from separating the Schrödinger equation in all 6 separable orthogonal coordinates on the 3 sphere: ellipsoidal, prolat…
The Harmonic Lagrange Top and the Confluent Heun Equation
Sean R. Dawson, Holger R. Dullin, Diana M. H. Nguyen
The harmonic Lagrange top is the Lagrange top plus a quadratic (harmonic) potential term. We describe the top in the space fixed frame using a global description with a Poisson str…
Monodromy in Prolate Spheroidal Harmonics
Sean R. Dawson, Holger R. Dullin, Diana M. H. Nguyen
We show that spheroidal wave functions viewed as the essential part of the joint eigenfunction of two commuting operators of has a defect in the joint spectrum that make…
Poisson Structure of the Three-Dimensional Euler Equations in Fourier Space
Holger R. Dullin, James D. Meiss, Joachim Worthington
We derive a simple Poisson structure in the space of Fourier modes for the vorticity formulation of the Euler equations on a three-dimensional periodic domain. This allows us to an…
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…