Algebraic treatment of a simple model for the electromagnetic self-force

Abstract

The problem of the electromagnetic self-force can be studied in terms of a quadratic PT-symmetric Hamiltonian. Here, we apply a straightforward algebraic method to determine the regions of model-parameter space where the quantum-mechanical operator exhibits real spectrum. An alternative point of view consists of finding the values of the model parameters so that a symmetric operator supports bound states.

References in corpus (1)

• Algebraic treatment of $\mathcal{P}\mathcal{T}$-symmetric coupled oscillators

Cited by in corpus (1)

• Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation