The discrete Green's function method for wave packet expansion via the free Schrödinger equation

DOI10.1016/J.JCP.2024.113131MaRDI QIDQ6560706

I. E. Mazets, Jan-Frederik Mennemann, Sebastian Erne, N. J. Mauser

Publication date: 23 June 2024

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

free Schrödinger equationdiscrete Green's function methodmatter-wave interferometrytrapezoidal rule approximationfree particle propagatorseparability of the Green's function in several spatial dimensionswave packet expansion problem

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On the non-equivalence of perfectly matched layers and exterior complex scaling
• Perfectly matched layers versus discrete transparent boundary conditions in quantum device simulations
• Stationary phase method and delay times for relativistic and non-relativistic tunneling particles
• On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
• A tractable prescription for large-scale free flight expansion of wavefunctions
• A perfectly matched layer approach to the nonlinear Schrödinger wave equations
• A first course in numerical analysis.
• The Exponentially Convergent Trapezoidal Rule
• Numerical Integration of Periodic Functions: A Few Examples
• Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes
• Absorbing Boundary Conditions for the Schrödinger Equation
• A High‐Order Integral Equation‐Based Solver for the Time‐Dependent Schrödinger Equation
• Perfectly matched layers for Schrödinger-type equations with nontrivial energy-momentum dispersion

This page was built for publication: The discrete Green's function method for wave packet expansion via the free Schrödinger equation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6560706)