167 citations · 309 across the 8 of their papers we have counts for
Showing 2009 · math-phShow all
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math-ph2009★ 22 cited
Families of classical subgroup separable superintegrable systems
E. G. Kalnins, J. M. Kress, W. Miller
We describe a method for determining a complete set of integrals for a classical Hamiltonian that separates in orthogonal subgroup coordinates. As examples, we use it to determine…
math-ph2009★ 55 cited
Superintegrability and higher order constants for classical and quantum systems
E. G. Kalnins, W. Miller, G. S. Pogosyan
We extend recent work by Tremblay, Turbiner, and Winternitz which analyzes an infinite family of solvable and integrable quantum systems in the plane, indexed by the positive param…
math-ph2009★ 42 cited
Coupling constant metamorphosis and Nth order symmetries in classical and quantum mechanics
E. G. Kalnins, W. Miller, S. Post
We review the fundamentals of coupling constant metamorphosis (CCM) and the Stäckel transform, and apply them to map integrable and superintegrable systems of all orders into other…