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Abstract <p>In this work, we discuss new ways to incorporate physical information into neural network training and describe modern neural network methods for quantum systems and their extensions. We describe an algorithm for solving the stationary Klein–Gordon–Fock equation using the neural network quantum states (NNQS) method. The method has been tested on two well-known systems: a relativistic spinless particle in a Coulomb potential and a charged particle in a uniform magnetic field.</p>

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A Neural Network Approach to Solve the Relativistic Wave Equation for Spinless Particles

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. M. Kalitenko

摘要

Abstract

In this work, we discuss new ways to incorporate physical information into neural network training and describe modern neural network methods for quantum systems and their extensions. We describe an algorithm for solving the stationary Klein–Gordon–Fock equation using the neural network quantum states (NNQS) method. The method has been tested on two well-known systems: a relativistic spinless particle in a Coulomb potential and a charged particle in a uniform magnetic field.