Convergent Perturbation Theory for a q-deformed Anharmonic Oscillator
Rainer Dick, Andrea Pollok-Narayanan, Harold Steinacker, Julius Wess
Abstract
A q--deformed anharmonic oscillator is defined within the framework of q--deformed quantum mechanics. It is shown that the Rayleigh--Schrödinger perturbation series for the bounded spectrum converges to exact eigenstates and eigenvalues, for q close to 1. The radius of convergence becomes zero in the undeformed limit.
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