TITLE:
Magnetic Field Induction and Time Intervals of the Electron Transitions Approached in a Classical and Quantum-Mechanical Way
AUTHORS:
Stanisław Olszewski
KEYWORDS:
Lorentz Force and Magnetic Induction, Electron Wave Packets, Changes of the Electron
Momentum, Transition Time between Quantum States
JOURNAL NAME:
Journal of Modern Physics,
Vol.2 No.11,
November
23,
2011
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.