The Commutator of the Runge Lenz Vector with other operators of the H-atoms physics using Maxima

Carl W David

Published Jan 1, 2018• 0 citations

Abstract

Commutators of components of the Runge-Lenz vector and constants of the motion and ladder operators for the H-atom problem are evaluated using brute force calculus and Maxima.

Related papers

Runge–Lenz–Pauli Operator in Noncommutative Quantum Mechanics

Morteza Yavari

Journal of Advanced PhysicsDec 1, 20130 citations

Analysis of Non-Commuting Vectors with Application to Quantum Mechanics and Vector Calculus

George H. Shortley, George E. Kimball

In quantum mechanics it is necessary to consider in detail the properties of certain vectors whose components are linear operators.Two com- ponents of the same or different vectors do not in general commute.The manipulation of such vectors is facilitated by a set of formulas modified from those of the usual vector analysis.

Proceedings of the National Academy of SciencesJan 1, 19343 citations

Wavefunctions from the Runge-Lenz Algebra

James M. Feagin

Springer eBooksJan 1, 19940 citations

Simplified ladder operators for the hydrogen atom

J. B. Boyling

American Journal of PhysicsOct 1, 19882 citations

The Runge-Lenz Vector

Carl W David

The Runge-Lenz vector is a constant of the motion in the Kepler problem. As a precursor to developing a ladder operator formalism for the H-atom's quantum mechanics, various relations concerning the Runge-Lenz vector are obtained.

Jan 1, 20060 citations

H-atom Ladder Operator Revisited

Carl W David

An error laden note (Am. J. Phys., 34, 984,(1966)) concerning the ladder operator solution to the hydrogen atom electronic energy levels is corrected.

Jan 1, 20200 citations