On 1/f-noise of electron in phonon field

Exact propagator of density matrix of particle (electron) under influence of thermal vibrations of its medium (phonons) is treated in simplest approximation beyond the Fermi’s golden rule. It is shown that uncertainties ,$\sim \text{h}\mathrm{/}t$, in energy exchanges with the medium give rise to flicker fluctuations in rate of diffusion (diffusivity) of the particle