Isospectral Deformations of the Dirac Operator


We give more details about an integrable system [26] in which the Dirac operator D = d + d∗ on a graph G or manifold M is deformed using a Hamiltonian system D′ = [B, h(D)] with B = d − d∗ + βib. The deformed operator D(t) = d(t) + b(t) + d(t)∗ defines a new exterior derivative d(t) and a new Dirac operator C(t) = d(t) + d(t)∗ and Laplacian M(t) = C(t)2 and… (More)


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