A.B. McLean, R.H. Williams
Journal of Physics C: Solid State Physics
In electron tunnelling from channel to gate in a field effect transistor, and in alpha-particle emission from atomic nuclei, the tunnelling transition is from a quasi-level to a continuum of states, to which conventional tunnelling theory does not apply. Gamow, in the alpha-emission case, proposed to consider particle states with an imaginary component of energy, -1/2ℏλ, where λ, is the tunnelling decay rate. It is shown in this paper, in terms of an appropriate real wavefunction ψ(x), that λ is then given by u/λ, = ∫0∞ r2dx, where r(x) = ψ(x)/ψ(0) and where u = ℏk/m is the velocity of the tunnelling particle. The application of this formula is discussed. The connection with a quantum resonance of the electron system is shown.
A.B. McLean, R.H. Williams
Journal of Physics C: Solid State Physics
D.D. Awschalom, J.-M. Halbout
Journal of Magnetism and Magnetic Materials
J.R. Thompson, Yang Ren Sun, et al.
Physica A: Statistical Mechanics and its Applications
William G. Van der Sluys, Alfred P. Sattelberger, et al.
Polyhedron