Connection between type B (or C) and F factorizations and construction of algebras

DOI10.1088/0305-4470/35/12/310zbMath1041.81014arXivmath-ph/0112060OpenAlexW2080546959WikidataQ114097042 ScholiaQ114097042MaRDI QIDQ4465598

A. Del Sol Mesa, Christiane Quesne

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0112060

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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New ladder operators for the monopole harmonics ⋮ Shape invariance symmetries for quantum states of the superpotentials \(A\tanh\omega y+B/A\) and \(- A\cot\omega \theta +B\csc\omega \theta \) ⋮ Spectrum-generating symmetries for the Superpotentials \(A\) cot \(\theta \) and \(B\) tanh \(y\) ⋮ Barut-Girardello coherent states for the Morse potential

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