Quantum loop equation and the energy spectrum of the inductance-coupling mesoscopic circuit;

Quantum effects of the mesoscopic mutual-inductance circuit with pulse-code;

So we discuss the quantum effects of non-dissipative mesoscopic coupled circuit at a finite temperature in this paper, the result shows that quantum fluctuations of both charge and current depends on the temperature.

The quantization in a non-dissipative mesoscopic capacitance and inductance coupling circuit;