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arXiv · 2210.12522

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

Karan Shah·Patrick Stiller·Nico Hoffmann·Attila Cangi
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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.

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Karan Shah, Patrick Stiller, Nico Hoffmann, Attila Cangi. 2022-10-22. Physics-Informed Neural Networks as Solvers for the Time-Dependent Schr\"odinger Equation. https://arxiv.org/abs/2210.12522

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