Number-phase Quantization for the Bohr Atom

Abstract

For L-C circuit, a new quantized scheme has been proposed in the context of number-phase quantization. In this scheme, the quantum number n of the electric charge q is quantized as the charge number operator and the phase difference θ across the capacity is quantized as phase operator. It is proven that the number-phase quantization scheme is very useful to study the Bohr atom as L-C circuit and its quantum effects.