Exploring Branched Hamiltonians for a Class of Nonlinear Systems

摘要

One of the less well understood ambiguities of quantization is emphasized toresult from the presence of higher-order time derivatives in the Lagrangiansresulting in multiple-valued Hamiltonians. We explore certain classes ofbranched Hamiltonians in the context of nonlinear autonomous differentialequation of Lienard type. Two eligible elementary nonlinear models that emergeare shown to admit a feasible quantization along these lines.