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math-ph2024
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…
math-ph2021★ 1 cited
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…
math-ph2020★ 3 cited
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…