From Classical to Quantum Energies of Harmonic Oscillator in a RC-Circuit

This paper focuses on the energies of a quantum harmonic oscilaltor derived from a RC-circuit. The applied procedures have demanded to use the conversion from classical observables to quantum ones, through the usage of annihilator and creator operators. Once these operators have been solved, it is calculated the number of photons operator. Because these operations, the resulting quantum energies have turned out to be polynomial. The ground state is recovered in fully accordance to well-known quantum case. Some aspects inclined to quantum coherence in the context of quantum RC-circuit are presented.