GroupTheory`
GroupTheory`

GTStevensOperatorElement

GTStevensOperatorElement[l,m,J,m1,m2]

calculates a single matrix element , where is the so called Stevens operator equivalent.

Details and Options

  • A matrix element is calculated using the method of Ryabov.
  • To calculate a complete matrix refer to GTStevensOperator.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, Chapter 7.4
  • I. Ryabov, On the generation of operator equivalents and the calculation of their matrix elements, Journal of Magnetic Resonance, Elsevier, 1999, 140, 141-145
  • K. W. H. Stevens, Matrix Elements and Operator Equivalents Connected with the Magnetic Properties of Rare Earth Ions, Proceedings of the Physical Society. Section A, 1952, 65, 209

Examples

Basic Examples  (1)

First, load the package:

Calculate the matrix element ,