This article is cited in 3 papers

On the quasi-classical limit of the quadratic susceptibility

P. V. Elyutin, O. V. Smirnova

M. V. Lomonosov Moscow State University

Abstract: For autonomous Hamiltonian systems, the quasi-classical limit ($\hbar\to0$) of the quadratic susceptibility to an external harmonic field is considered. To calculate this limit, the coordinate matrix elements and the quantum transition frequencies are expanded in powers of $\hbar$ up to terms of order $\hbar^2$ based on symmetry relations and sum rules. The quasi-classical limit of the quadratic susceptibility is calculated in terms of classical parameters and can be used to determine the response functions of chaotic systems.

Received: 23.09.1998
Revised: 26.10.1998

DOI: 10.4213/tmf730

 English version: Theoretical and Mathematical Physics, 1999, 119:1, 471–480

Bibliographic databases:

• 
• 
•