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Fibre bundle formulation of time-dependent mechanicsстатья
- Автор: Sardanashvily G.
- Журнал: ArXiv e-prints
- Номер: 1303.1735
- Год издания: 2013
- Аннотация: We address classical and quantum mechanics in a general setting of arbitrary time-dependent transformations. Classical non-relativistic mechanics is formulated as a particular field theory on smooth fibre bundles over a time axis. Connections on these bundles describe reference frames. Quantum time-dependent mechanics is phrased in geometric terms of Banach and Hilbert bundles and connections on these bundles. A quantization scheme speaking this language is leafwise geometric quantization.
- Добавил в систему: Сарданашвили Геннадий Александрович