English

Physics-Informed Neural Networks as Solvers for the Time-Dependent Schr\"odinger Equation

Quantum Physics 2022-10-25 v1

Abstract

We demonstrate the utility of physics-informed neural networks (PINNs) as solvers for the non-relativistic, time-dependent Schr\"odinger equation. We study the performance and generalisability of PINN solvers on the time evolution of a quantum harmonic oscillator across varying system parameters, domains, and energy states.

Keywords

Cite

@article{arxiv.2210.12522,
  title  = {Physics-Informed Neural Networks as Solvers for the Time-Dependent Schr\"odinger Equation},
  author = {Karan Shah and Patrick Stiller and Nico Hoffmann and Attila Cangi},
  journal= {arXiv preprint arXiv:2210.12522},
  year   = {2022}
}