Quantum chaos and regularity in Φ⁴ theory
classification
✦ hep-lat
keywords
hamiltoniantheorymatrixrandomanalyticallybehaviorchaoscheck
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We check the eigenvalue spectrum of the $\Phi^{4}_{1+1}$ Hamiltonian against Poisson or Wigner behavior predicted from random matrix theory. We discuss random matrix theory as a tool to discriminate the validity of a model Hamiltonian compared to an analytically solvable Hamiltonian or experimental data.
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