3 papers
quant-ph2008
A mechanical model of tunnelling
Amaury Mouchet
It is shown how the model which was introduced by Mouchet (2008 Eur. J. Phys. 29 1033) allows one to mimic the quantum tunnelling between two symmetric one-dimensional wells.
quant-ph2007
Finding gaps in a spectrum
Hector Giacomini, Amaury Mouchet
We propose a method for finding gaps in the spectrum of a differential operator. When applied to the one-dimensional Hamiltonian of the quartic oscillator, a simple algebraic algor…
nlin.CD2007
Importance of the Wick rotation on Tunnelling
Amaury Mouchet
A continuous complex rotation of time $t\mapsto t\EXP{-iθ}$ is shown to smooth out the huge fluctuations that characterise chaotic tunnelling. This is illustrated in the kicked rot…