Analytic Coulomb matrix elements in a three-dimensional geometry

Abstract

Using a complete basis set we have obtained an analytic expression for the matrix elements of the Coulomb interaction. These matrix elements are written in a closed form. We have used the basis set of the three-dimensional isotropic quantum armonic oscillator in order to develop our calculations, which can be useful when treating interactions in localized systems.

3 pages, errata

References in corpus (1)

• Analytic Coulomb matrix elements in the lowest Landau level in disk geometry

Cited by in corpus (2)

• Quantum Breathing Mode of Interacting Particles in a One-dimensional Harmonic Trap
• Control Protocol for Dynamic Synthesis of Qubit and Qudit Gates Using Photonic Pulses and Magnetic Fields