Shape-invariant potentials depending onnparameters transformed by translation
From MaRDI portal
Publication:4507692
DOI10.1088/0305-4470/33/17/305zbMath1034.81051arXivhep-th/0003266OpenAlexW3122716926MaRDI QIDQ4507692
Arturo Ramos, José F. Cariñena
Publication date: 8 October 2000
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0003266
Explicit solutions, first integrals of ordinary differential equations (34A05) Exactly and quasi-solvable systems arising in quantum theory (81U15)
Related Items
A short note on ``Group theoretic approach to rationally extended shape invariant potentials, RATIONALLY-EXTENDED RADIAL OSCILLATORS AND LAGUERRE EXCEPTIONAL ORTHOGONAL POLYNOMIALS IN kTH-ORDER SUSYQM, A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour, Raising and lowering of generalized Hulthén potential from supersymmetry approaches, Infinite families of shape invariant potentials with \(n\) parameters subject to translation, Generalized Langer correction and the exactness of WKB for all conventional potentials, Quantum Hamilton–Jacobi quantization and shape invariance, Exactness of SWKB for shape invariant potentials, RICCATI EQUATION, FACTORIZATION METHOD AND SHAPE INVARIANCE, Shape invariance symmetries for quantum states of the superpotentials \(A\tanh\omega y+B/A\) and \(- A\cot\omega \theta +B\csc\omega \theta \), Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials, Some physical applications of systems of differential equations admitting a superposition rule, Group theoretical approach to the intertwined Hamiltonians, HIGHER-ORDER SUSY, EXACTLY SOLVABLE POTENTIALS, AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS, Relations between 1D shape invariant potentials and the commutation relations of the Lie algebra sl\((2,\mathbb{C})\), Exactness of semiclassical quantization rule for broken supersymmetry