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- W2055279164 abstract "The present note generalizes a transformation due to Takahashi. The Takahashi transformation introduces a Hamiltonian formalism in the presence of a single linear supplementary condition imposed on n + 1 coordinates. The Takahashi transformation is generalized to treat the case when there are N independent linear supplementary conditions imposed on the differentials of n coordinates. It is shown that the generalized transformation leads to true coordinates when the coefficients of the differentials are coordinate-independent; otherwise the transformation generally leads to quasicoordinates. More general transformations are discussed, the relation with the method of Lagrange multipliers is established, and some problems which arise in connection with quantization are pointed out." @default.
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- W2055279164 date "1964-07-01" @default.
- W2055279164 modified "2023-09-27" @default.
- W2055279164 title "Lagrangian and Hamiltonian Formalisms with Supplementary Conditions" @default.
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- W2055279164 doi "https://doi.org/10.1063/1.1704193" @default.
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