Lattice Simulations of the Quantum Microcanonical Ensemble

Details Lattice Simulations of the Quantum Microcanonical Ensemble Lattice Simulations of the Quantum Microcanonical Ensemble

1997-04-14

arxiv.org/abs/hep-th/9704103v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages Revtex, 1 figure. uses amsfonts.sty and amstex.sty

Scientific paper

We propose a method for the numerical computation of microcanonical expectation values--i.e. averages over energy eigenstates with the same eigenvalue-without any prior knowledge about the spectrum of the Hamiltonian. This is accomplished by first defining a new Gaussian ensemble to approximate the microcanonical one. We then develop a ``lattice theory'' for this Gaussian ensemble and propose a Monte Carlo integration of the expectation values of the lattice theory.

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