A complex formulation of generalized Hamiltonian (Birkhoffian) theory |
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Authors: | J McEwan |
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Institution: | (1) Institute of Mathematics and Statistics, University of Kent, CT2 7NF Canterbury, Kent, United Kingdom |
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Abstract: | Fundamental analytic, algebraic, and geometric properties of generalized Hamiltonian (Birkhoffian) theory are compared with the properties of a covering unitary phase-space formulation based on complex variables of the form (p+iq). Technical advantages in the unitary phase-space formulation are illustrated by a detailed discussion of the one-dimensional extended damped harmonic oscillator. One advantage is the ability to fully describe nonconservative constraint forces within a globally conservative system. Another advantage is that wider classes of gauge transformations are available to simplify the construction of smooth solution manifolds. |
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