Quantum capacitor with discrete charge-anticharge: spectrum and forces

TL;DR

This paper models a quantum capacitor with discrete charges, analyzing its spectrum and fluctuation-induced forces, which resemble the Casimir effect, providing insights into quantum charge interactions and forces.

Contribution

It introduces a Hamiltonian model incorporating an inductive term and uses a double Hilbert space to analyze charge-anticharge fluctuations and resulting forces.

Findings

Spectrum derived using a double Hilbert space approach

Charge-anticharge fluctuations produce an elementary attraction

Force resembles the Casimir effect, interpreted as charge-fluctuations force

Abstract

The quantum capacitor with discrete charge is modeled by a Hamiltonian containing an inductive intrinsic term (tunnel effect between plates). The spectrum is obtained using a double Hilbert space. Fluctuations in the charge-anticharge pairs (zero total charge) give rise to an elementary attraction which is compared to the Casimir force. In this case, the field-fluctuations force could be also interpreted as charge-fluctuations force.