Amplitude-free correlation function based on an algebra for coordinate transformation in semiclassical integrals.
We present an algebra that facilitates a systematic coordinate transformation in semiclassical integrals such as those between the initial and final value representations. Applying this algebra to Maslov-type semiclassical wave packet theory [A. Inoue-Ushiyama and K. Takatsuka, Phys. Rev. A 59, 3256 (1999)], a semiclassical correlation function is extracted, which is free of the amplitude factor that suffers an exponential divergence in a chaotic system.
Takatsuka
K
K
Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Komaba, 153-8902, Tokyo, Japan. kaztak@mns2.c.u-tokyo.ac.jp