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Condensed Matter

arXiv:cond-mat/9402065 (cond-mat)
[Submitted on 16 Feb 1994]

Title:The $1/r^2$ Integrable system: The Universal Hamiltonian for Quantum Chaos

Authors:B. Sriram Shastry (AT\&T Bell Labs, 600 Mountain Avenue, Murray Hill, NJ)
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Abstract: We summarize recent work showing that the $1/r^2$ model of interacting particles in 1-dimension is a universal Hamiltonian for quantum chaotic systems. The problem is analyzed in terms of random matrices and of the evolution of their eigenvalues under changes of parameters. The robustness of bulk space-time correlations of a many particle system to changing boundary conditions is suggested to be at the root of the universality. The explicit density-density correlation functions of the $1/r^2$ model, now available through the above mapping at two values of the coupling constant, are interpreted in the light of Bethe's {\it Ansatz}, giving a vivid picture of the fractionalization of bare particles or holes into ``quark'' like Bethe quasi-particles and holes.
Comments: bss@physics.this http URL from March , Physics Department, Indian Institute of Science, BANGALORE,560012 India bss@physics.this http URL, To appear in the proceedings of the 16th Taniguchi International Symposium on the Theory of Condensed Matter: ``Correlation Effects in Low Dimensional Electron Systems''
Subjects: Condensed Matter (cond-mat); High Energy Physics - Theory (hep-th)
Cite as: arXiv:cond-mat/9402065
  (or arXiv:cond-mat/9402065v1 for this version)
  https://doi.org/10.48550/arXiv.cond-mat/9402065

Submission history

From: [view email]
[v1] Wed, 16 Feb 1994 22:23:50 UTC (17 KB)
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