POLYNOMIAL DEFORMATIONS OF sl(2, ℝ) IN A THREE-DIMENSIONAL INVARIANT SUBSPACE OF MONOMIALS

DOI10.1142/S0217732303010831zbMath1076.81584arXivquant-ph/0303062OpenAlexW2163749174MaRDI QIDQ5710955

J. Ndimubandi, B. Van den Bossche, Nathalie Debergh

Publication date: 9 December 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0303062

zbMATH Keywords

Lie algebraspolynomial deformationsquasi-exactly solvable equations

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

Non-standard quantum algebras and finite dimensional PT -symmetric systems, Differential realizations of polynomial algebras in finite-dimensional spaces of monomials.

Cites Work

• Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
• Quasi-exactly-solvable problems and sl(2) algebra
• The relation between polynomial deformations ofsl(2,R) and quasi-exact solvability