Integrable quantum Stäckel systems
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Publication:2345307
DOI10.1016/j.physleta.2013.08.005zbMath1311.37054arXiv1305.5686OpenAlexW1970839660MaRDI QIDQ2345307
Błażej M. Szablikowski, Maciej Błaszak, Ziemowit Domański, Artur Sergyeyev
Publication date: 19 May 2015
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.5686
General quantum mechanics and problems of quantization (81S99) Lattice dynamics; integrable lattice equations (37K60)
Related Items (4)
Natural star-products on symplectic manifolds and related quantum mechanical operators ⋮ Reduction and integrability of stochastic dynamical systems ⋮ Separable quantizations of Stäckel systems ⋮ Flat minimal quantizations of Stäckel systems and quantum separability
Cites Work
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- Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure
- Tools for verifying classical and quantum superintegrability
- Natural coordinates for a class of Benenti systems
- Generalized Stäckel systems
- Quantum integrable systems constrained on the sphere
- Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems
- Separation of variables for bi-Hamiltonian systems
- How to find separation coordinates for the Hamilton--Jacobi equation: A criterion of separability for natural Hamiltonian systems
- Various quantum mechanical aspects of quadratic forms
- Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables
- Coupling constant metamorphosis as an integrability-preserving transformation for general finite-dimensional dynamical systems and ODEs
- On Reciprocal Equivalence of Stäckel Systems
- Quantum integrability of quadratic Killing tensors
- Exact solvability of superintegrable Benenti systems
- Stäckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions
- Abelian integrals and the reduction method for an integrable Hamiltonian system
- How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
- Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
- On separable Schrödinger equations
- Maximal superintegrability of Benenti systems
- Separable systems with quadratic in momenta first integrals
- Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions
- Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. II. First integrals and symmetry operators
- Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems
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