Cover Image

Generalized quantum Zernike Hamiltonians: Polynomial Higgs-type algebras and algebraic derivation of the spectrum

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Campoamor-Stursberg, Rutwig, Herranz, Francisco J., Latini, Danilo, Marquette, Ian, Blasco, Alfonso
Format:	Preprint
Published:	2025
Subjects:	Quantum Physics Mathematical Physics Exactly Solvable and Integrable Systems 37J35, 22E60, 46N50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Generalized classical and quantum Zernike Hamiltonians
by: Herranz, Francisco J., et al.
Published: (2025)

Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case
by: Drozdov, Pavel, et al.
Published: (2026)

A representation-theoretical approach to higher-dimensional Lie-Hamilton systems: The symplectic Lie algebra $\mathfrak{sp}(4,\mathbb{R})$
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2024)

Generalized Buchdahl equations as Lie-Hamilton systems from the 'book' and oscillator algebras: Quantum deformations and their general solution
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2024)

Bi-Hamiltonian structures of WDVV-type
by: Opanasenko, S., et al.
Published: (2024)

On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one
by: Opanasenko, Stanislav, et al.
Published: (2024)

Lie-Hamilton systems on Riemannian and Lorentzian spaces from conformal transformations and some of their applications
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2024)

Solutions by quadratures of complex Bernoulli differential equations and their quantum deformation
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2023)

An infinite family of Dunkl type superintegrable curved Hamiltonians through coalgebra symmetry: Oscillator and Kepler-Coulomb models
by: Herranz, Francisco J., et al.
Published: (2025)

On an infinite commuting ODE system associated to a simple Lie algebra
by: Yang, Di, et al.
Published: (2024)

Commuting integrable maps from a deformed D$_4$ cluster algebra
by: Hone, A. N. W., et al.
Published: (2025)

Nonlinear Lie-Hamilton systems: $t$-Dependent curved oscillators and Kepler-Coulomb Hamiltonians
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2025)

Subalgebras of integrals, commutants, and superintegrable deformations of Lotka-Volterra systems
by: Marquette, Ian, et al.
Published: (2026)

Lie-Hamilton systems associated with the symplectic Lie algebra $\mathfrak{sp}(6, \mathbb{R})$
by: Carballal, O., et al.
Published: (2024)

Integrable systems and cluster algebras
by: Gekhtman, Michael, et al.
Published: (2024)

Legendre transforms for type $A_{n}$ and $B_{n}$ $\vee$-systems
by: Feigin, Misha, et al.
Published: (2024)

Darboux transformations and related non-Abelian integrable differential-difference systems of the derivative nonlinear Schrödinger type
by: Peroni, Edoardo, et al.
Published: (2025)

Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
by: Hu, Xin, et al.
Published: (2024)

Multi-component Hamiltonian difference operators
by: Casati, Matteo, et al.
Published: (2024)

On some Hamiltonian properties of the isomonodromic tau functions
by: Its, A. R., et al.
Published: (2018)

Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
by: Cafasso, Mattia, et al.
Published: (2017)

On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
by: Opanasenko, S., et al.
Published: (2025)

(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)

Commutative Poisson algebras from deformations of noncommutative algebras
by: Mikhailov, Alexander V., et al.
Published: (2024)

Determination of the Hamiltonian from the Equations of Motion with Illustration from Examples
by: Lee, Chung-Ru
Published: (2024)

Multidimensional multiplicative Poisson vertex algebras
by: Yang, Pengfei, et al.
Published: (2025)

Delay ordinary differential equations: from Lagrangian approach to Hamiltonian approach
by: Dorodnitsyn, Vladimir, et al.
Published: (2024)

Wolfes model aka $G_2/I_6$-rational integrable model: $g^{(2)}, g^{(3)}$ hidden algebras and quartic polynomial algebra of integrals
by: Vieyra, J C Lopez, et al.
Published: (2023)

New cluster algebras from old: integrability beyond Zamolodchikov periodicity
by: Hone, Andrew N. W., et al.
Published: (2024)

Heun-function analysis of the Dirac spinor spectrum in a sine-Gordon soliton background
by: Blas, H., et al.
Published: (2026)

The tau function for ABS equations
by: Atkinson, James
Published: (2024)

On Haantjes tensors for second-order superintegrable systems
by: Marquette, Ian, et al.
Published: (2024)

Mixed superposition rules for Lie systems and compatible geometric structures
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2025)

The Riemann-Hilbert approach for the nonlocal derivative nonlinear Schrödinger equation with nonzero boundary conditions
by: Liu, Xin-Yu, et al.
Published: (2024)

Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation
by: Morozov, Oleg I.
Published: (2023)

Extended V-systems and almost-duality for extended affine Weyl orbit spaces
by: Stedman, Richard, et al.
Published: (2016)

Electric network and Hirota type $4$-simplex maps
by: Konstantinou-Rizos, S.
Published: (2023)

On B type family of Dubrovin-Frobenius manifolds and their integrable systems
by: Basalaev, Alexey
Published: (2023)

Lagrangian 1-form structure of Calogero-Moser type systems
by: Kongkoom, Thanadon, et al.
Published: (2024)

Noncommutative Boussinesq and NLS type 2- and 3-simplex maps
by: Konstantinou-Rizos, S., et al.
Published: (2025)