Ulm 2004 – scientific programme

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 6: Gitterfeldtheorie

MP 6.1: Fachvortrag

Wednesday, March 17, 2004, 14:55–15:20, H 21

Quantum Chaos in Φ⁴ Theory on a Lattice — •Harald Markum¹, Helmut Kröger², Xiang-Qian Luo³, and Rainer Pullirsch¹ — ¹Atominstitut, Technische Universität Wien, Austria — ²Département de Physique, Université Laval, Québec, Canada — ³Department of Physics, Zhongshan University, Guangzhou, China

We check the eigenvalue spectrum of the Φ₁₊₁⁴ Hamiltonian at different couplings against Poisson or Wigner behavior predicted from random matrix theory. The eigenvalues are computed via the Monte Carlo Hamiltonian method using a stochastic basis. 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.