Information and correlation in the quantum Heisenberg system

 

 
• Description of system, Hamiltonian
• Hamiltonian forms and known solutions
• Dynamics, comparison of classical and quantum systems.
• Symmetric spin Hamiltonian
• Energy eigenvectors of the symmetric spin Hamiltonian
• Spin correlations in the symmetric spin Hamiltonian equilibrium distribution
• Symmetric spin Hamiltonian with external field
• Entropy of the spin system
• Mutual information between measured and unmeasured variables
• Entropies
• Information correlation functions
• Moments, correlations, cumulants
• Mathematica for the symmetric spin Hamiltonian