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arxiv: 1402.6954 · v1 · pith:RLAX4QV2new · submitted 2014-02-27 · 🧮 math-ph · math.MP

Composition of Two Potentials

classification 🧮 math-ph math.MP
keywords potentialssolvablecompositionexactlycertaincombiningcompositionsform
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Given two potentials V0 and V1 together with a certain nodeless solution {\phi}0 of V0, we form a composition of these two potentials. If V1 is exactly solvable, the composition is exactly solvable, too. By combining various solvable potentials in one-dimensional quantum mechanics, a huge variety of solvable compositions can be made.

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