2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18699The hidden symmetry of certain nano-magnets leads to many of the levels being doubly degenerate for periodic values of the Zeeman energy. Corresponding to such a symmetry is an operator, $K_{n}$, related to the time reversal operator, and which commutes with the Hamiltonian. The degeneracies for whole integer spin values are often similar to the Kramer's degeneracy for half-integer spin. An all algebraic method for constructing Hamiltonians with such hidden symmetries and different crystal symmetries is described.4 pages one figureMesoscale and Nanoscale PhysicsStatistical Mechanicstext