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Relation between Green’s functions for different potentials

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Abstract

A general relation between the energy-dependent Green’s functions for different potentials is derived in a simple and direct manner. This interesting connection enables the eigenstates of one physical system to be deduced from those of a related system. The derivation is based on the Schrödinger equation and provides an independent justification for the technique of path-dependent time transformation used in path integration.

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  1. Department of Theoretical Physics, University of Madras, Guindy Gampus, 600 025, Madras, India

    S S Vasan, M Seetharaman & K Raghunathan

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  1. S S Vasan
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  2. M Seetharaman
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  3. K Raghunathan
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Vasan, S.S., Seetharaman, M. & Raghunathan, K. Relation between Green’s functions for different potentials. Pramana - J. Phys. 38, 1–10 (1992). https://doi.org/10.1007/BF02847899

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  • DOI: https://doi.org/10.1007/BF02847899

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