Abstract
Dynamical aspects of a wave packet which tunnels through a potential barrier have been studied by solving numerically the time dependent Schroedinger equation in one and two dimensions. Concerning potentials with several wells, this approach have shown the strong influence of the details of the potential upon the tunneling probabilities (resonance). Alpha decay (decay of a quasi-stationary state) was studied also by solving this equation. A time dependent decay rate was observed. In particular, there is a transient time before the asymptotic limit is reached. A new method was proposed to determine tunneling times. Lastly, this procedure was applied in the case of the symmetric fission. Fission rates of vibrational quasi-stationary states of different energies were calculated. Transient times and saddle to scission times were derived.
Citation Formats
Serot, O.
A time dependent approach to the tunneling phenomena: applications to potentials with several wells, alpha decay and nuclear fission; Approche dependante du temps des phenomenes de tunneling: applications aux potentiels a plusieurs minima, a la desintegration alpha et a la fission nucleaire.
France: N. p.,
1992.
Web.
Serot, O.
A time dependent approach to the tunneling phenomena: applications to potentials with several wells, alpha decay and nuclear fission; Approche dependante du temps des phenomenes de tunneling: applications aux potentiels a plusieurs minima, a la desintegration alpha et a la fission nucleaire.
France.
Serot, O.
1992.
"A time dependent approach to the tunneling phenomena: applications to potentials with several wells, alpha decay and nuclear fission; Approche dependante du temps des phenomenes de tunneling: applications aux potentiels a plusieurs minima, a la desintegration alpha et a la fission nucleaire."
France.
@misc{etde_10127424,
title = {A time dependent approach to the tunneling phenomena: applications to potentials with several wells, alpha decay and nuclear fission; Approche dependante du temps des phenomenes de tunneling: applications aux potentiels a plusieurs minima, a la desintegration alpha et a la fission nucleaire}
author = {Serot, O}
abstractNote = {Dynamical aspects of a wave packet which tunnels through a potential barrier have been studied by solving numerically the time dependent Schroedinger equation in one and two dimensions. Concerning potentials with several wells, this approach have shown the strong influence of the details of the potential upon the tunneling probabilities (resonance). Alpha decay (decay of a quasi-stationary state) was studied also by solving this equation. A time dependent decay rate was observed. In particular, there is a transient time before the asymptotic limit is reached. A new method was proposed to determine tunneling times. Lastly, this procedure was applied in the case of the symmetric fission. Fission rates of vibrational quasi-stationary states of different energies were calculated. Transient times and saddle to scission times were derived.}
place = {France}
year = {1992}
month = {Nov}
}
title = {A time dependent approach to the tunneling phenomena: applications to potentials with several wells, alpha decay and nuclear fission; Approche dependante du temps des phenomenes de tunneling: applications aux potentiels a plusieurs minima, a la desintegration alpha et a la fission nucleaire}
author = {Serot, O}
abstractNote = {Dynamical aspects of a wave packet which tunnels through a potential barrier have been studied by solving numerically the time dependent Schroedinger equation in one and two dimensions. Concerning potentials with several wells, this approach have shown the strong influence of the details of the potential upon the tunneling probabilities (resonance). Alpha decay (decay of a quasi-stationary state) was studied also by solving this equation. A time dependent decay rate was observed. In particular, there is a transient time before the asymptotic limit is reached. A new method was proposed to determine tunneling times. Lastly, this procedure was applied in the case of the symmetric fission. Fission rates of vibrational quasi-stationary states of different energies were calculated. Transient times and saddle to scission times were derived.}
place = {France}
year = {1992}
month = {Nov}
}