On the application of the Kronecker product to three-spin systems
- 8 Downloads
We obtain the matrix representation of a three-spin Hamiltonian by straightforward application of the Kronecker product. The starting point are the Pauli matrices for spin-1/2 and it is not necessary to resort to ladder operators or any other mathematical property of spin operators.
KeywordsKronecker product Spin systems Nuclear magnetic resonance
- 1.J.A. Pople, W.G. Schneider, H.J. Bernstein, High Resolution Nuclear Magnetic Resonance (McGraw-Hill Book Company Inc, New York, 1959)Google Scholar
- 2.P.L. Corio, Structure of High-Resolution NMR Spectra (Academic Press, New York, 1966)Google Scholar
- 3.E.D. Becker, High-Resolution NMR. Theory and Chemical Applications, 3rd edn. (Academic Press, San Diego, 2000)Google Scholar