## Abstract

We study a classically chaotic system that is described by a Hamiltonian (Formula presented) where (Formula presented) are the canonical coordinates of a particle in a two-dimensional well, and x is a parameter. By changing x we can deform the “shape” of the well. The quantum eigenstates of the system are (Formula presented) We analyze numerically how the parametric kernel (Formula presented) evolves as a function of (Formula presented) This kernel, regarded as a function of (Formula presented) characterizes the shape of the wave functions, and it also can be interpreted as the local density of states. The kernel (Formula presented) has a well-defined classical limit, and the study addresses the issue of quantum-classical correspondence. Both the perturbative and the nonperturbative regimes are explored. The limitations of the random matrix theory approach are demonstrated.

Original language | English |
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Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 63 |

Issue number | 3 |

DOIs | |

State | Published - 1 Jan 2001 |

Externally published | Yes |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics