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Quantizing Chaplygin Hamiltonizable nonholonomic systems
1Department of Mathematics, Wellesley College, Wellesley, MA, 02482, USA. ofernand@wellesley.edu.
Abstract:
In this article we develop a quantization procedure for Chaplygin Hamiltonizable nonholonomic systems-mechanical systems subject to non-integrable velocity constraints whose reduced mechanics is Hamiltonian after a suitable time reparametrization-using Poincaré transformations and geometric quantization. We illustrate the theory developed through examples and discuss potential applications to the study of the quantum mechanics of nanovehicles.
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