Discrete quantum harmonic oscillator and Kravchuk transform

DOI10.1051/m2an/2024001MaRDI QIDQ6667310

Erwan Faou, Quentin Chauleur

Publication date: 20 January 2025

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

Kravchuk polynomialsharmonic oscillatorgeometric numerical integration

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Time-dependent Schrödinger equations and Dirac equations (35Q41) Numerical methods for difference equations (65Q10)

Cites Work

• An introduction to multivariate Krawtchouk polynomials and their applications
• Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity
• Optimality and resonances in a class of compact finite difference schemes of high order
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
• Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces
• Continuous vs. discrete models for the quantum harmonic oscillator and the hydrogen atom
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