Discrete-charge quantum circuits in semiclassical approach

TL;DR

This paper introduces a semiclassical approach to modeling mesoscopic quantum circuits with discrete charge, providing simplified descriptions and reproducing known results using Bohr-Sommerfeld quantization.

Contribution

It presents a novel semiclassical framework for quantum circuits with charge discreteness, offering an alternative to existing models.

Findings

Reproduces previous results with Bohr-Sommerfeld quantization

Provides simplified descriptions of mesoscopic systems

Demonstrates the effectiveness of the semiclassical approach

Abstract

We discuss a new approach to describe mesoscopic systems, based on the ideas of quantum electrical circuits with charge discreteness. This approach has allowed us to propose a simple alternative descriptions of some mesoscopic systems, with interesting results for some mesoscopic systems. In his work, we show that the application of the Bohr-Sommerfeld quantization rules to the Quantum $LC$ circuit with discrete charge allows us to easily reproduce previous results.