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- Title
Supersymmetric quantum potentials analogs of classical electrostatic fields.
- Authors
García-Muñoz, Juan D.; Raya, A.
- Abstract
A relation between classical electrostatic fields and Shrödinger-like Hamiltonians is evidenced. Hence, supersymmetric quantum potentials analogous to classical electrostatic fields can be constructed. 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, given a charge density, to find the corresponding electrostatic field as well as the supersymmetric potentials. Furthermore, the associated charge density and the electrostatic field profile of Schrödinger-like solvable potentials can be determined.
- Subjects
ELECTRIC potential; BERNOULLI equation; QUANTUM mechanics; ELECTROSTATIC fields
- Publication
International Journal of Geometric Methods in Modern Physics, 2024, Vol 21, Issue 2, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S021988782450052X