Single-Shot Factorization Approach to Bound States in Quantum Mechanics

Using a flexible form for ladder operators that incorporates confluent hypergeometric functions, we show how one can determine all of the discrete energy eigenvalues and eigenvectors of the time-independent Schrödinger equation via a single factorization step and the satisfaction of boundary (or nor...

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Bibliographic Details
Main Authors: Anna Mazhar, Jeremy Canfield, Wesley N. Mathews, James K. Freericks
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/16/3/297