Abstract Operator Approach of the Angular Momentum Operator Eigenvalue Problem
Fan Yang
Abstract
Fan Yang
Abstract
This paper begins with the commutation relation of abstract angular momentum operator, and then utilizes the corresponding raising operator and the lower operator to directly solve the eigenvalue and the same eigenvector of J2 and Jz. Finally eigenequations of both orbit angular momentum operator L2 and Lz are given on the basis of coordinate.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
This paper begins with the commutation relation of abstract angular momentum operator, and then utilizes the corresponding raising operator and the lower operator to directly solve the eigenvalue and the same eigenvector of J2 and Jz. Finally eigenequations of both orbit angular momentum operator L2 and Lz are given on the basis of coordinate.
Key concepts: Momentum operator, Operator (biology), Angular momentum operator, Ladder operator, Eigenvalues and eigenvectors, Angular momentum, Displacement operator, Mathematics