New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates
From MaRDI portal
Publication:5871109
DOI10.1088/1751-8121/abb341OpenAlexW3018179468MaRDI QIDQ5871109
No author found.
Publication date: 25 January 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.12173
Painlevé propertyseparation of variablessuperintegrabilitypolynomial integralshigher order symmetriesintegrability in quantum mechanics
Related Items (6)
Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds ⋮ Doubly exotic \(N\)th-order superintegrable classical systems separating in Cartesian coordinates ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups ⋮ Superintegrability of Calogero–Moser systems associated with the cyclic quiver ⋮ Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\mathbb{C}^N\)-Smorodinsky-Winternitz system in a constant magnetic field
- Dressing chains and the spectral theory of the Schrödinger operator
- On superintegrable systems separable in Cartesian coordinates
- An algebraic geometric classification of superintegrable systems in the Euclidean plane
- Extended Hamiltonians and shift, ladder functions and operators
- Symmetry algebra for the generic superintegrable system on the sphere
- Commutative rings of partial differential operators and Lie algebras
- Pure quantum integrability
- Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras
- New superintegrable models on spaces of constant curvature
- Differential equations with fixed critical points. II
- Differential equations with fixed critical points
- Quantum super-integrable systems as exactly solvable models
- A new proof of the Baker-Campbell-Hausdorff formula
- The Drach superintegrable systems
- Exact solvability of superintegrable systems
- Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems
- Classical and quantum superintegrability with applications
- Higher-order superintegrability of a Holt related potential
- General Nth-order superintegrable systems separating in polar coordinates
- GeneralNth order integrals of motion in the Euclidean plane
- Superintegrable and shape invariant systems with position dependent mass
- Third-order superintegrable systems separating in polar coordinates
- Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials
- An infinite family of solvable and integrable quantum systems on a plane
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
- Generalized deformed oscillator and nonlinear algebras
- Group theory of the Smorodinsky–Winternitz system
- Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree
- Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach
- Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation
- Commutative ordinary differential operators. II.—The identity P n = Q m
- The stationary KdV hierarchy and so(2,1) as a spectrum generating algebra
- The quantumn-body problem in dimensiond⩾n– 1: ground state
- Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials
- Fifth-order superintegrable quantum systems separating in Cartesian coordinates: Doubly exotic potentials
- Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
- Superintegrability in a two-dimensional space of nonconstant curvature
- 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
- Superintegrability with third-order integrals in quantum and classical mechanics
- Hamiltonians separable in Cartesian coordinates and third-order integrals of motion
- Higher Order Quantum Superintegrability: A New “Painlevé Conjecture”
- Universal chain structure of quadratic algebras for superintegrable systems with coalgebra symmetry
- Two-dimensional superintegrable systems from operator algebras in one dimension
- Spherical geometry, Zernike’s separability, and interbasis expansion coefficients
- Four-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability. IV
- Separation of Variables and Superintegrability
- Construction of classical superintegrable systems with higher order integrals of motion from ladder operators
- Heisenberg-type higher order symmetries of superintegrable systems separable in Cartesian coordinates
- Quantum superintegrable Zernike system
- Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials
- On the Problem of Degeneracy in Quantum Mechanics
- On the exponential solution of differential equations for a linear operator
This page was built for publication: New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates
