![]() Bruce, Andrew ![]() in Journal of Geometric Mechanics (2017), 9(4), 411-437 We re--examine classical mechanics with both commuting and anticommuting degrees of freedom. We do this by defining the phase dynamics of a general Lagrangian system as an implicit differential equation ... [more ▼] We re--examine classical mechanics with both commuting and anticommuting degrees of freedom. We do this by defining the phase dynamics of a general Lagrangian system as an implicit differential equation in the spirit of Tulczyjew. Rather than parametrising our basic degrees of freedom by a specified Grassmann algebra, we use arbitrary supermanifolds by following the categorical approach to supermanifolds. [less ▲] Detailed reference viewed: 104 (3 UL)![]() ; Poncin, Norbert ![]() in Journal of Geometric Mechanics (2016), 8(1), 71-97 Detailed reference viewed: 258 (16 UL)![]() ; Khudaverdyan, David ![]() ![]() in Journal of Geometric Mechanics (2013), 5(2), 185--213 Detailed reference viewed: 230 (28 UL) |
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