Quantum Theory of Amplification in RS

TL;DR

This paper derives equations for transition amplitudes and calculates the resonance frequency of a system, analyzing how it depends on the initial transverse coordinate of an electron, contributing to quantum amplification theory.

Contribution

It introduces a quantum theoretical framework for amplification in resonance systems, including equations and analysis of frequency dependence on initial conditions.

Findings

Resonance frequency depends on initial electron position.

Equations for transition amplitudes are established.

Dependence of resonance frequency on initial conditions is analyzed.

Abstract

The equations for the amplitudes of transition probabilities are found. The resonance frequency of the system is calculated. It is shown the dependence of the resonance frequency on the initial transverse coordinate of an electron. This dependence is analized.