Exact solution of T-difference radial Schrödinger equation

DOI10.1007/s40819-016-0270-8zbMath1397.39009OpenAlexW2541104389MaRDI QIDQ1792146

Vasily E. Tarasov

Publication date: 11 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0270-8

zbMATH Keywords

Schrödinger equationfinite differencedifference equationdiscrete approximationshydrogen-like atoms

Mathematics Subject Classification ID

Difference operators (39A70) Linear difference operators (47B39) Discrete approximations in optimal control (49M25) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (1)

On the exact discretization of Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lattice fractional calculus
• Exact discrete analogs of canonical commutation and uncertainty relations
• Exact discretization of Schrödinger equation
• Discretizations of nonlinear differential equations using explicit nonstandard methods
• Effect of non-local interactions on soliton dynamics in anharmonic chains: Scale competition
• Localized excitations in discrete nonlinear Schrödinger systems: Effects of nonlocal dispersive interactions and noise
• Exact discretization by Fourier transforms
• Exact discrete analogs of derivatives of integer orders: differences as infinite series
• Fractional quantum field theory: from lattice to continuum
• Coupled oscillators with power-law interaction and their fractional dynamics analogues
• United lattice fractional integro-differentiation
• Toward lattice fractional vector calculus
• Dynamics of the chain of forced oscillators with long-range interaction: From synchronization to chaos
• Advances in the Applications of Nonstandard Finite Difference Schemes

This page was built for publication: Exact solution of T-difference radial Schrödinger equation