Phys. Rev. Lett. 70, 4122–4125 (1993)Exact description of spectral correlators by a quantum one-dimensional model with inverse-square interactionReceived 5 February 1993; published in the issue dated 28 June 1993 The universal correlations which describe the response of energy levels of a disordered metallic grain to an arbitrary perturbation are shown to be equivalent to time-dependent correlations of a one-dimensional quantum Hamiltonian with inverse-square interaction. These resutls establish a direct connection between a strongly interacting quantum Hamiltonian, the nonlinear σ model of disordered electronic systems, and quantum chaotic spectra. As a consequence we have an expression for the correlation function of the quantum Hamiltonian which we believe to be exact for all space and time. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.4122
DOI:
10.1103/PhysRevLett.70.4122
PACS:
05.45.+b, 71.25.-s, 73.20.Dx
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