DARBOUX TRANSFORMATIONS FOR QUASI-EXACTLY SOLVABLE HAMILTONIANS

DOI10.1142/S0217751X02009953zbMath1007.81027arXivquant-ph/0201105OpenAlexW2047407820MaRDI QIDQ4547630

Boris F. Samsonov, B. Van den Bossche, Nathalie Debergh

Publication date: 20 March 2003

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0201105

zbMATH Keywords

quasi-exactly solvableradial sextic oscillator

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)

Related Items (3)

Differential realizations of polynomial algebras in finite-dimensional spaces of monomials. ⋮ An extended class of \(L^2\)-series solutions of the wave equation ⋮ \(\eta \)-weak-pseudo-hermiticity generators and radially symmetric Hamiltonians

Cites Work

• Dynamical breaking of supersymmetry
• New possibilities for supersymmetry breakdown in quantum mechanics and second-order irreducible Darboux transformations
• Quasi-exactly-solvable problems and sl(2) algebra
• Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
• Quasi-exactly solvable potentials with two known eigenstates
• NEW FEATURES IN SUPERSYMMETRY BREAKDOWN IN QUANTUM MECHANICS

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