Differential realizations of polynomial algebras in finite-dimensional spaces of monomials.

DOI10.1016/S0003-4916(03)00176-3zbMath1037.81037MaRDI QIDQ1419798

B. Van den Bossche, Nathalie Debergh

Publication date: 26 January 2004

Published in: Annals of Physics (Search for Journal in Brave)

zbMATH Keywords

differential ladder operatorsPolynomial deformationsQ.E.S. equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

QUASI-EXACTLY-SOLVABLE QUANTUM LATTICE SOLITONS, QES SYSTEMS, INVARIANT SPACES AND POLYNOMIALS RECURSIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of linear differential operators with an invariant subspace of monomials
• Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
• Yangian realisations from finite \({\mathcal W}\)-algebras
• Quasi-exactly-solvable problems and sl(2) algebra
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• The relation between polynomial deformations ofsl(2,R) and quasi-exact solvability
• DARBOUX TRANSFORMATIONS FOR QUASI-EXACTLY SOLVABLE HAMILTONIANS
• POLYNOMIAL DEFORMATIONS OF sl(2, ℝ) IN A THREE-DIMENSIONAL INVARIANT SUBSPACE OF MONOMIALS