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Exploring branched Hamiltonians for a class of nonlinear systems
- 1.0454054 - ÚJF 2016 RIV SG eng J - Journal Article
Bagchi, B. - Modak, S. - Panigrahi, P. K. - Růžička, František - Znojil, Miloslav
Exploring branched Hamiltonians for a class of nonlinear systems.
Modern Physics Letters A. Roč. 30, č. 39 (2015), s. 1550213. ISSN 0217-7323. E-ISSN 1793-6632
Institutional support: RVO:61389005
Keywords : quantization * branched classical Hamiltonians * partner quantum Hamiltonians * perturbation solutions
Subject RIV: BE - Theoretical Physics
Impact factor: 1.116, year: 2015
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.
Permanent Link: http://hdl.handle.net/11104/0254744
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