User:Jheald/current


 * User:Jheald/Degeneracy (physics)
 * Combine Degenerate energy level, Quantum degeneracy.
 * Add material about Wigner's theorem, that similar irreps are degenerate;
 * Accidental degeneracy, that there is not necessarily a transformation connecting the two. (but there may be a hidden underlying symmetry -- eg Hydrogen s and p orbitals). -- Fock (1935) showed the symmetry was O(4) treatment in Jones
 * Degenerate perturbation theory. Perturbation_theory_(quantum_mechanics).


 * User:Jheald/Wigner's theorem
 * cf Wigner's theorem
 * emphasise more basic issues, about irreps and their significance. Check Wigner's book; 1927 paper?


 * User:Jheald/Irreducible representation
 * mathematical definition
 * importance in physics, chemistry -> "good quantum numbers"/states/particles
 * some properties from Schur's theorem
 * if a second operation is added, so the algebra becomes a ring, and the group representation becomes a module, the corresponding object is a simple module


 * User:Jheald/Spinors in three dimensions
 * Re-work Spinors in three dimensions to more closely follow spinor, starting from the Clifford algebra