Quantum capacitor with discrete charge-anticharge: spectrum and forces

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Scientific paper

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.

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