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On Conformal d'Alembert-Like Equations

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arxiv math-ph/0502011 v1 pith:JLQXQJ5Z submitted 2005-02-02 math-ph math.MP

classification math-phmath.MP
keywords conformalequationalembert-likepotentialradialassociatedby-productcase
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Using conformal coordinates associated with projective conformal relativity we obtain a conformal Klein-Gordon partial differential equation. As a particular case we present and discuss a conformal `radial' d'Alembert-like equation. As a by-product we show that this `radial' equation can be identified with a one-dimensional Schr\"odinger-like equation in which the potential is exactly the second P\"oschl-Teller potential.

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