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Titlebook: Supermathematics and its Applications in Statistical Physics; Grassmann Variables Franz Wegner Book 2016 Springer-Verlag Berlin Heidelberg

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Disordered Systemsalculations for quantum-mechanical particles in a random potential can be performed by simultaneous use of complex and anticommuting variables. A first application is the derivation of Wigner’s semi-circle law for the density of states of the Gaussian unitary ensemble.
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Dimers in Two Dimensionsd vertical directions. The question is: In how many different ways can the edges be covered by dimers so that, at each lattice point, exactly one edge is covered by a dimer. This dimer problem can be solved for a plain lattice, if no edges cross each other. As examples, we consider the square lattice and the honeycomb lattice.
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https://doi.org/10.1007/978-3-662-49170-6Disordered systems; Supermatrices and superdeterminants; Supersymmetric and superreal matrices; Supersy
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