Quantum tunnelling effect for the inverted CaldirolaKanai Hamiltonian
Abstract
In order to study the behaviour of the inverted CaldirolaKanai Hamiltonian in the quantum tunnelling effect, the authors consider a wavepacket as the initial state and they calculate exactly the probability density. They also obtain the transmission and reflection probability, the expectation value of the particle's energy and the sojourn time which appears to be an increasing function of the dissipation parameter gamma . A similar result is also obtained by considering a normalized plane wave as the initial state.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 December 1992
 DOI:
 10.1088/03054470/25/23/006
 Bibcode:
 1992JPhA...25L1299B