Abstract
A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics is presented based on Caratheodory’s theorem concerning canonical transformations. The special role of a principal set of solutions is stressed, and the existence of analogous results in quantum mechanics is outlined.
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References
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Joseph, K.B., Mukunda, N. The Hamilton-Jacobi equation revisited. Pramana - J. Phys 4, 1–18 (1975). https://doi.org/10.1007/BF02852260
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DOI: https://doi.org/10.1007/BF02852260