Abstract <p>The problem of computing functional integrals in quantum mechanics models is considered. Functional integrals in models of the harmonic oscillator, double well potential, and Morse potential were computed using a neural network algorithm for normalizing flows. A comparison was made with results obtained from Monte Carlo simulation.</p>

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Application of Neural Networks for Calculating Functional Integrals in Quantum Field Theory

  • A. V. Vasiliev,
  • A. S. Ivanov,
  • D. V. Salnikov,
  • V. V. Chistiakov

摘要

Abstract

The problem of computing functional integrals in quantum mechanics models is considered. Functional integrals in models of the harmonic oscillator, double well potential, and Morse potential were computed using a neural network algorithm for normalizing flows. A comparison was made with results obtained from Monte Carlo simulation.