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Hidden Supersymmetry of Electrostatic Fields

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Juan D. García-Muñoz, A Raya

A hidden supersymmetry of electrostatic fields is evidenced. Proposing an ansatz for the electrostatic potential as the natural logarithm of a nodeless function, it is demonstrated that the electrostatic fields fulfil the Bernoulli equation associated to a second-order confluent supersymmetric transformation. By using the so-called confluent algorithm, it is possible, through the appropriate choice of a charge density, to find the ground state of the corresponding supersymmetric initial potential. Furthermore, the associated electrostatic field profile of a Schr{ö}dinger-like solvable potentials can be determined

read more at https://arxiv.org/pdf/2209.01248.pdf

Written by physicsgg

September 7, 2022 at 10:14 pm

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