Energy levels of one-dimensional anharmonic oscillator via neural networks

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Mutuk H.

MODERN PHYSICS LETTERS A, vol.34, no.12, 2019 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 12
  • Publication Date: 2019
  • Doi Number: 10.1142/s0217732319500883
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Anharmonic oscillators, neural networks, quantum mechanics, STRONG-COUPLING EXPANSION, GROUND-STATE ENERGY, RENORMALIZATION-GROUP, SCHRODINGER-EQUATION, PERTURBATION-THEORY
  • Ondokuz Mayıs University Affiliated: No

Abstract

In this work, we obtained energy levels of one-dimensional quartic anharmonic oscillator by using neural network system. Quartic anharmonic oscillator is a very important tool in quantum mechanics and also in the quantum field theory. Our results are in good agreement in high accuracy with the reference studies.