Complex Spectral Representation of a Many-Body System in One Dimension(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)
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概要
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I consider a Brownian particle immersed in a one-dimensional boson gas with delta-function repulsive potentials. I find many-body complex eigenvalues of the Liouville superoperator, up to second order in the coupling constant. The eigenvalues give the diffusion time-scale of the Brownian particle. The eigenvalue problem is solved using a Bethe-ansatz approach.
- 2010-07-27