Journal
PHYSICAL REVIEW LETTERS
Volume 84, Issue 13, Pages 2841-2844Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.84.2841
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We consider a classically chaotic system that is described by a Hamiltonian H(Q, P; x), where x is a constant parameter. Specifically, we discuss a gas particle inside a cavity, where x controls a deformation of the boundary or the position of a piston. The quantum eigenstates of the system are \n(x)]. We describe how the parametric kernel P(n \ m) = \(n(x) \ x(0))]|(2) evolves as a function of delta x = x - x(0). We explore both the perturbative and the nonperturbative regimes, and discuss the capabilities and the limitations of semiclassical as well as random waves and random-matrix-theory considerations.
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