Classical and Quantum Superintegrability of Stäckel Systems
Copyright policy )Classical and Quantum Superintegrability of Stäckel Systems
In this paper we discuss maximal superintegrability of both classical and quantum St��ckel systems. We prove a sufficient condition for a flat or constant curvature St��ckel system to be maximally superintegrable. Further, we prove a sufficient condition for a St��ckel transform to preserve maximal superintegrability and we apply this condition to our class of St��ckel systems, which yields new maximally superintegrable systems as conformal deformations of the original systems. Further, we demonstrate how to perform the procedure of minimal quantization to considered systems in order to produce quantum superintegrable and quantum separable systems.
- Linköping University Sweden
Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Mathematical Physics (math-ph), Control Engineering, Hamilton-Jacobi equations in mechanics, Commutation relations and statistics as related to quantum mechanics (general), Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, Local Riemannian geometry, Hamilton-Jacobi theory, Stäckel systems, Reglerteknik, Stäckel transform, Hamiltonian systems, Exactly Solvable and Integrable Systems (nlin.SI), Hamiltonian systems; classical and quantum superintegrable systems; Stackel systems; Hamilton-Jacobi theory; Stackel transform, classical and quantum superintegrable systems, Mathematical Physics
Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Mathematical Physics (math-ph), Control Engineering, Hamilton-Jacobi equations in mechanics, Commutation relations and statistics as related to quantum mechanics (general), Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, Local Riemannian geometry, Hamilton-Jacobi theory, Stäckel systems, Reglerteknik, Stäckel transform, Hamiltonian systems, Exactly Solvable and Integrable Systems (nlin.SI), Hamiltonian systems; classical and quantum superintegrable systems; Stackel systems; Hamilton-Jacobi theory; Stackel transform, classical and quantum superintegrable systems, Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!