Magnetic Field Induction and Time Intervals of the Electron Transitions Approached in a Classical and Quantum-Mechanical Way

Stanisław Olszewski

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DOI: 10.4236/jmp.2011.211161                

Abstract

The motion of electron wave packets of a metal is examined classically in the presence of the magnetic field with the aim to calculate the time intervals between two states lying on the same Fermi surface. A lower limiting value of the transition time equal to about 10–18 sec is estimated as an average for the case when the states are lying on the Fermi surface having a spherical shape. Simultaneously, an upper limit for the electron circular frequency in a metal has been also derived. A formal reference of the classical transition time to the time interval entering the energy-time uncertainty relations known in quantum mechanics is obtained.

Keywords

Lorentz Force and Magnetic Induction, Electron Wave Packets, Changes of the Electron Momentum, Transition Time between Quantum States

Conflicts of Interest

The authors declare no conflicts of interest.

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