Exact quantization of the scattering from a classically chaotic repellor

Journal of Chemical Physics - Tập 90 Số 4 - Trang 2255-2262 - 1989
Pierre Gaspard1, Stuart A. Rice1
1THE JAMES FRANCK INSTITUTE AND DEPARTMENT OF CHEMISTRY, THE UNIVERSITY OF CHICAGO, CHICAGO, ILLINOIS 60637

Tóm tắt

The S matrix for the scattering of a point particle from three hard discs fixed on a plane is calculated exactly using Green’s theorem. The S matrix is obtained explicitly from S=I−iCM−1D, where the matrix M describes the multiple scattering between the three discs and the matrices C and D describe the free propagation from the edges of the three discs to large distances. The scattering resonances are located in the complex wave number plane as the zeros of the determinant of the matrix M, and their symmetry representations are determined. The results of this calculation are compared with the results obtained from the semiclassical approximation described in the preceding paper.

Từ khóa


Tài liệu tham khảo

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Thông tin
Thông tin xuất bản

Journal of Chemical Physics

Tập 90 Số 4

2255-2262

Thông tin tác giả