Open AccessSupersymmetry with self-consistent Schrödinger–Poisson equations: finding partner potentials and breaking symmetry
Author(s) -
Amine Abouzaid,
A. F. J. Levi
Publication year - 2021
Publication title -
new journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.584
H-Index - 190
ISSN - 1367-2630
DOI - 10.1088/1367-2630/abffc1
Subject(s) - physics , isospectral , symmetry (geometry) , supersymmetry , perturbation (astronomy) , electric field , perturbation theory (quantum mechanics) , symmetry breaking , electron , mathematical physics , quantum mechanics , poisson distribution , poisson's equation , quantum electrodynamics , classical mechanics , statistics , geometry , mathematics
It is shown that isospectral Hamiltonians and partner potentials can be found for self-consistent solutions of the Schrödinger and Poisson equations in the presence of identical non-interacting electrons. Perturbation of these systems by an external electric field can be used to break symmetry and spectrally distinguish between states. For a given pair of partner potentials, symmetry may also be broken by a change of electron density or temperature.