Monte Carlo Hamiltonian: the Linear Potentials

Details Monte Carlo Hamiltonian: the Linear Potentials Monte Carlo Hamiltonian: the Linear Potentials

2002-11-09

arxiv.org/abs/hep-th/0211077v1

Commun.Theor.Phys. 38 (2002) 561-565

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 8 figures

Scientific paper

We further study the validity of the Monte Carlo Hamiltonian method. The advantage of the method, in comparison with the standard Monte Carlo Lagrangian approach, is its capability to study the excited states. We consider two quantum mechanical models: a symmetric one $V(x) = |x|/2$; and an asymmetric one $V(x)=\infty$, for $x < 0$ and $V(x)=x$, for $x \ge 0$. The results for the spectrum, wave functions and thermodynamical observables are in agreement with the analytical or Runge-Kutta calculations.

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