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Equivalence among the propagators of three-dimensional time-dependent quadratic systems and free particles, by solving the Schrödinger equation

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Il Nuovo Cimento B (1971-1996)

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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Authors and Affiliations

  1. Departamento de Física da Universidade Federal do Pará, 66075-900 CP, 8614, Guamá, Belém, Pará, Brasil

    J. M. F. Bassalo

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  1. J. M. F. Bassalo
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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

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