Quadratic algebra and spectrum of superintegrable system
From MaRDI portal
Publication:6606759
DOI10.1007/978-3-031-30284-8_18MaRDI QIDQ6606759
Publication date: 17 September 2024
energy spectrumSchrödinger equationsquadratic algebrassuperintegrable systemsdeformed oscillator algebras
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)
Cites Work
- Algebraic calculation of the energy eigenvalues for the nondegenerate three-dimensional Kepler-Coulomb potential
- Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials
- Mutual integrability, quadratic algebras, and dynamical symmetry
- Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras
- Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction
- A ``continuous limit of the complementary Bannai-Itô polynomials: Chihara polynomials
- Quantum super-integrable systems as exactly solvable models
- Models for quadratic algebras associated with second order superintegrable systems in 2D
- Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems.
- Exact solvability of superintegrable systems
- Quadratic algebra for superintegrable monopole system in a Taub-NUT space
- Classical and quantum superintegrability with applications
- Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability
- Recurrence approach and higher rank cubic algebras for theN-dimensional superintegrable systems
- Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems
- A new family ofNdimensional superintegrable double singular oscillators and quadratic algebraQ(3) ⨁so(n)⨁so(N-n)
- Group theory of the Smorodinsky–Winternitz system
- Quantum superintegrable system with a novel chain structure of quadratic algebras
- Quadratic algebra structure and spectrum of a new superintegrable system inN-dimension
- Group Theory of Harmonic Oscillators in n-Dimensional Space
- The general Racah algebra as the symmetry algebra of generic systems on pseudo-spheres
- N-dimensional Smorodinsky–Winternitz model and related higher rank quadratic algebra SW(N)
- Zur Theorie des Wasserstoffatoms.
This page was built for publication: Quadratic algebra and spectrum of superintegrable system
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6606759)