One dimensional coherent states and oscillation effects in metals in a magnetic field

Using the one-dimensional coherent electron states in a quantizing magnetic field the oscillating part of the electron density of states for a metal, which determines the physical nature for the oscillations of the thermodynamic and kinetic metal characteristic in magnetic field, is calculated. The physical reason of the significant simplification of the mathematical procedure is that the coherent states are most adequate to describe the quantum macroscopic phenomena such as the Shubnikov - de Haas and the de Haas - van Alphen effects in metals. (Author)