Classical Irregular Scattering and Fluctuation of Quantum Transition Probability

Seiji Takahashi and Kiyohiko Someda

Department of Basic Sciences, Graduate School of Arts and Sciences,
The University of Tokyo

S-matrix of the system exhibiting classical irregular scattering is analyzed
on the basis of the classical S-matrix theory.  The S-matrix is represented
as an infinite series each term of which possesses a random phase factor.
The S-matrix element, in consequence, performs random walk on the complex
plane when one varies the final state.  Probability distribution of the
S-matrix element is derived theoretically.