Time-dependent Lagrangians invariant by a vector field

M. C. Muñoz-Lecanda; N. Román-Roy; F. J. Yániz-Fernández

doi:10.1023/A:1017963123948

Time-dependent Lagrangians invariant by a vector field

数学物理 2015-12-15 v2 math.MP

作者: M. C. Muñoz-Lecanda , N. Román-Roy , F. J. Yániz-Fernández

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摘要

We study the reduction of non-autonomous regular Lagrangian systems by symmetries, which are generated by vector fields associated with connections in the configuration bundle of the system $Q\times\real\to\real$ . These kind of symmetries generalize the idea of ``time-invariance'' (which corresponds to taking the trivial connection in the above trivial bundle).

关键词

classical field theory relativistic quantum mechanics time in quantum mechanics

引用

@article{arxiv.math-ph/0102010,
  title  = {Time-dependent Lagrangians invariant by a vector field},
  author = {M. C. Muñoz-Lecanda and N. Román-Roy and F. J. Yániz-Fernández},
  journal= {arXiv preprint arXiv:math-ph/0102010},
  year   = {2015}
}

备注

12 pages, LaTeX. Replaced with the published version. Minor changes. The bibliography is updated

Time-dependent Lagrangians invariant by a vector field

摘要

关键词

引用

备注

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