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American Journal of Physics

On the quantization of Newton-equivalent Hamiltonians

Francesco Calogero, A. Degasperis

Published Aug 13, 2004• 26 citations
Publisher

Abstract

In classical mechanics, Newton-equivalent Hamiltonians yield the same equations of motion and hence identical dynamics. In the quantum context, they instead generally yield different discrete energy spectra in the confined case and different scattering amplitudes in the unconfined case.
DOI
10.1119/1.1758229

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