The Csl scattering system

In the following section we discuss the classical and quantum dynamics of a Csl molecule scattered off a reaction zone consisting of an arrangement of inhomogenous fields. This system shows classical and quantum chaotic scattering. It can, at least in principle, be built as a laboratory experiment, which would enable the experimenter to check the theoretical predictions advanced in the following sections. 

As discussed already in Section 5.4, the Csl molecule has a considerable electric dipole moment (see Table 5.1). Therefore, it can very effectively interact with the electric field of the two wires. In computing the interaction potential we first compute the electric field of a single straight wire of radius vq a distance r away from the wire. It is given by 

a is the charge of the wire per unit length and eo is the electric permittivity of the vacuum (eo = 8.85 x 10 C /Nm ). Superposing the fields of the two oppositely charged wires, we obtain the following expression for the electric field on the x axis 

Introducing the unit of length zo, the unit of time to = (mzo/Vb) ) the unit of momentum A = mzo/to, the unit of angular momentum 7 = toVo and Vq as the unit of energy, the Hamiltonian (9.1.4) becomes 

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Fig. 9.7. Final angular momentum If as a function of initial rotation angle for the three-wire Csl scattering system. The vertical bars on the Oi axis in frame (a) mark a 0 interval shown magnified in frame (b). Frame (c) shows a magnified version of the interval marked in frame (b).

Fig. 9.8. Distribution of lifetimes (crosses) and scattering angles (squares) in the classically chaotic regime of the three-wire Csl scattering system. (Adapted from Bliimel and Smilansky (1988).)...

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