Exploring Branched Hamiltonians for a Class of Nonlinear Systems
arXiv:1505.07552 · doi:10.1142/S0217732315502132
Abstract
One of the less well understood ambiguities of quantization is emphasized to result from the presence of higher-order time derivatives in the Lagrangians resulting in multiple-valued Hamiltonians. We explore certain classes of branched Hamiltonians in the context of nonlinear autonomous differential equation of Lienard type. Two eligible elementary nonlinear models that emerge are shown to admit a feasible quantization along these lines.
11 pages. It is a revised version with additional references and the paper has been accepted for publication in Modern Physics Letters A
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