The wave packet propagation using wavelets
Andrei G. Borisov, Sergei V. Shabanov
Abstract
It is demonstrated that the wavelets can be used to considerably speed up simulations of the wave packet propagation in multiscale systems. Extremely high efficiency is obtained in the representation of both bound and continuum states. The new method is compared with the fast Fourier algorithm. Depending on ratios of typical scales of a quantum system in question, the wavelet method appears to be faster by a few orders of magnitude.
Create a lesson
Related papers
Discovering like a scientist: Literature-informed dimensionless learning for physical closure of data-driven equations
Hao Xu, Tianhao Wu, Dongxiao Zhang
Identifying the Shear Piezoelectric Coefficient using Physics-Informed Neural Networks under Exact Boundary and Initial Constraints
Suhas Suresh Bharadwaj
Fracture-Bench: A Controlled Benchmark Suite for Machine Learning Surrogates in Phase-Field Fracture Mechanics
Meenu Krishnan U., Maryam Hakimzadeh, Indrashish Saha et al.
Noise-resilient collective order through temporal memory in self-propelled particles
Mihir Durve, Sauro Succi, Antonio Celani
Site-orbit masked twin-branch Transformer for symmetry-constrained crystal generation
Junchi Liu, Haoran Si, Luo Yan et al.
Maximal correlation and optimal transformations of probability distributions in tensor-train format: a variational algorithm
Kayo Kinjo, Jun Ohkubo