Abstract
Hamilton-Jacobi theory is applied to find appropriate canonical transformations for the calculation of the phase-space path integrals of the relativistic particle equations. Hence, canonical transformations and Hamilton-Jacobi theory are also introduced into relativistic quantum mechanics. Moreover, from the classical physics viewpoint, it is very interesting to find and to solve the Hamilton-Jacobi equations for the relativistic particle equations.
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Gür, H. Phase-space path integration of the relativistic particle equations. Found Phys 21, 1305–1314 (1991). https://doi.org/10.1007/BF00732832
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DOI: https://doi.org/10.1007/BF00732832