A quantummechanical derivation of the eigenvalues of the quadratic Casimir operator of the algebra SU(n) in Young tableau representation

Publication date: Available online 22 January 2019Source: Physics Letters AAuthor(s): Éva SzőkeAbstractThe paper concerns the eigenvalues and eigenfunctions of the quadratic Casimir operator of the algebra SU(n) in the Young tableau representation. Our starting point is a concrete physical problem in second quantized formalism. We use quantummechanical and group theoretical vehicles to determine the aimed quantities. The tableaux are organized according to their eigenvalue. We also investigate the modification rules.

Source: Physics Letters A - January 23, 2019 Category: Physics Source Type: research