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Monte Carlo Simulations in Quantum Mechanics

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Statistical Approach to Quantum Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 992))

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Abstract

This chapter provides an introduction to particular Markov processes which obey the detailed balance condition. We explain the Metropolis algorithm—still the workhorse in many simulations—the heat bath algorithm, and the hybrid Monte Carlo algorithm. We will apply these algorithms to simulate the anharmonic oscillator. Later in this book, we shall use these algorithms to analyze non-perturbative aspects of spin systems and quantum field theories.

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Authors and Affiliations

  1. Theoretical Physics, Friedrich Schiller University Jena, Jena, Germany

    Andreas Wipf

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  1. Andreas Wipf
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Wipf, A. (2021). Monte Carlo Simulations in Quantum Mechanics. In: Statistical Approach to Quantum Field Theory. Lecture Notes in Physics, vol 992. Springer, Cham. https://doi.org/10.1007/978-3-030-83263-6_4

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