Energy levels of one-dimensional anharmonic oscillator via neural networks-Reference-Cited by-同舟云学术

Energy levels of one-dimensional anharmonic oscillator via neural networks

Published:2019-04-20 Issue:12 Volume:34 Page:1950088
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Mutuk Halil¹^ORCID

Affiliation:

1. Physics Department, Ondokuz Mayis University, 55139 Samsun, Turkey

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732319500883

Reference42 articles.

1. The Two-Minima Problem and the Ammonia Molecule

2. Anharmonic Oscillator

3. Quantum theory of anharmonic oscillators: Energy levels of a single and a pair of coupled oscillators with quartic coupling

4. The Schrodinger equation with an anharmonic oscillator potential

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural Networks;Advances in High Energy Physics;2024-04-03

2. Deep learning neural network for approaching Schrödinger problems with arbitrary two-dimensional confinement;Machine Learning: Science and Technology;2023-09-01

3. Confined hydrogen atom: endohedrals H@C₃₆ and H@C₆₀;Machine Learning: Science and Technology;2023-02-20

4. On the quartic anharmonic oscillator and the Padé-approximant averaging method;Modern Physics Letters A;2022-08-20

5. Quantum Data Classification by a Dissipative Protocol with a Superconducting Quantum Circuit Implementation;Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering;2022