Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008
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.
Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008
S. Cohen, J.C. Liu, et al.
MRS Spring Meeting 1999
R. Ghez, M.B. Small
JES
R.M. Macfarlane, R.L. Cone
Physical Review B - CMMP