@article {cohen2001parametric,
title = {Parametric evolution for a deformed cavity},
journal = {Physical Review E},
volume = {63},
year = {2001},
pages = {046207},
publisher = {APS},
abstract = {We consider a classically chaotic system that is described by a Hamiltonian H(Q,P;x), where (Q,P) describes a particle moving inside a cavity, and x controls a deformation of the boundary. The quantum eigenstates of the system are \|n(x)\>. We describe how the parametric kernel P(n\|m)=\|\<n(x)\|m(x0)\>\|2, also known as the local density of states, evolves as a function of δx=x-x0. We illuminate the nonunitary nature of this parametric evolution, the emergence of nonperturbative features, the final nonuniversal saturation, and the limitations of random-wave considerations. The parametric evolution is demonstrated numerically for two distinct representative deformation processes.},
url = {http://dx.doi.org/10.1103/PhysRevE.63.046207},
author = {Cohen, Doron and Barnett, Alex and Heller, EricJ.}
}