Summary
In this article we evaluate Feynman’s propagator exactly for a threedimensional time-dependent quadratic Lagrangian, by solving the Schrödinger equation. Through a rotation and a non-linear superposition law of coordinates, we show that such a propagator can be obtained from thefree- particle propagator in a new space-time coordinate system.
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Bassalo, J.M.F. Equivalence among the propagators of three-dimensional time-dependent quadratic systems and free particles, by solving the Schrödinger equation. Nuov Cim B 111, 793–797 (1996). https://doi.org/10.1007/BF02749011
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DOI: https://doi.org/10.1007/BF02749011