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Symmetry in discrete mechanics

โœ Scribed by D. Greenspan

Publisher
Springer US
Year
1973
Tongue
English
Weight
191 KB
Volume
3
Category
Article
ISSN
0015-9018

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๐Ÿ“œ SIMILAR VOLUMES

Symmetries in Discrete-Time Mechanics
Symmetries in Discrete-Time Mechanics
โœ M. Khorrami ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 185 KB

Based on a general formulation for discrete-time quantum mechanics, introduced by M. Khorrami (Annals Phys. 224 (1995), 101), symmetries in discrete-time quantum mechanics are investigated. It is shown that any classical continuous symmetry leads to a conserved quantity in classical mechanics, as we

Symmetry reduction of discrete Lagrangia
Symmetry reduction of discrete Lagrangian mechanics on Lie groups
โœ Jerrold E. Marsden; Sergey Pekarsky; Steve Shkoller ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

For a discrete mechanical system on a Lie group G determined by a (reduced) Lagrangian , we define a Poisson structure via the pull-back of the Lie-Poisson structure on the dual of the Lie algebra g \* by the corresponding Legendre transform. The main result shown in this paper is that this structur