Compromised spin systems and random matrix theory

Agneta Cederström
Random Matrix Theory considers symmetries in the QM energy matrix. The differential geometric implications of matrix groups and their relation to many particle quantum mechanical manifolds is explored. The RMT reduction of phase space is described by co-adjoint orbits on Lie matrix groups. Disorder is identified as a statistical mixture of entangled states. The system' s density matrix eigenvalues remain invariant. The spectrum of eigenvalues in an asymmetric quartic matrix potential is calculated in the...
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