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2004•Communications in Theoretical PhysicsOpen access

Monte Carlo Hamiltonian: Inverse Potential

Xiang-Qian Luo, Cheng Xiao-Ni, H. Kröger

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Abstract

The Monte Carlo Hamiltonian method developed recently allows to investigate the ground state and low-lying excited states of a quantum system, using Monte Carlo (MC) algorithm with importance sampling. However, conventional MC algorithm has some difficulties when applied to inverse potentials. We propose to use effective potential and extrapolation method to solve the problem. We present examples from the hydrogen system.

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The Monte Carlo Hamiltonian method developed recently allows to investigate the ground state and low-lying excited states of a quantum system, using Monte Carlo (MC) algorithm with importance sampling. However, conventional MC algorithm has some difficulties when applied to inverse potentials. We propose to use effective potential and extrapolation method to solve the problem. We present examples from the hydrogen system.

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Available abstract

The Monte Carlo Hamiltonian method developed recently allows to investigate the ground state and low-lying excited states of a quantum system, using Monte Carlo (MC) algorithm with importance sampling. However, conventional MC algorithm has some difficulties when applied to inverse potentials. We propose to use effective potential and extrapolation method to solve the problem. We present examples from the hydrogen system.

Key concepts: Monte Carlo method, Hybrid Monte Carlo, Quantum Monte Carlo, Extrapolation, Hamiltonian (control theory), Diffusion Monte Carlo, Dynamic Monte Carlo method, Monte Carlo method in statistical physics

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