arXiv Open Access 2023

On numerical solutions of the time-dependent Schrödinger equation

Wytse van Dijk
Lihat Sumber

Abstrak

We review an explicit approach to obtaining numerical solutions of the Schrödinger equation that is conceptionally straightforward and capable of significant accuracy and efficiency. The method and its efficacy are illustrated with several examples. Because of its explicit nature, the algorithm can be readily extended to systems with a higher number of spatial dimensions. We show that the method also generalizes the staggered-time approach of Visscher and allows for the accurate calculation of the real and imaginary parts of the wave function separately.

Topik & Kata Kunci

Penulis (1)

W

Wytse van Dijk

Format Sitasi

Dijk, W.v. (2023). On numerical solutions of the time-dependent Schrödinger equation. https://arxiv.org/abs/2306.00997

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2023
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓