TY - JOUR
T1 - A time-dependent perturbative analysis for a quantum particle in a cloud chamber
JF - Annales Henri Poincare 11 (2010) 539-564
Y1 - 2010
A1 - Gianfausto Dell'Antonio
A1 - Rodolfo Figari
A1 - Alessandro Teta
AB - We consider a simple model of a cloud chamber consisting of a test particle (the alpha-particle) interacting with two other particles (the atoms of the vapour) subject to attractive potentials centered in $a_1, a_2 \\\\in \\\\mathbb{R}^3$. At time zero the alpha-particle is described by an outgoing spherical wave centered in the origin and the atoms are in their ground state. We show that, under suitable assumptions on the physical parameters of the system and up to second order in perturbation theory, the probability that both atoms are ionized is negligible unless $a_2$ lies on the line joining the origin with $a_1$. The work is a fully time-dependent version of the original analysis proposed by Mott in 1929.
PB - Springer
UR - http://hdl.handle.net/1963/3969
U1 - 432
U2 - Mathematics
U3 - Mathematical Physics
ER -