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Hamilton Operators, Discrete Symmetries, Brute Force and SymbolicC++ (1208.4721v1)
Published 23 Aug 2012 in cs.MS, math-ph, and math.MP
Abstract: To find the discrete symmetries of a Hamilton operator $\hat H$ is of central importance in quantum theory. Here we describe and implement a brute force method to determine the discrete symmetries given by permutation matrices for Hamilton operators acting in a finite-dimensional Hilbert space. Spin and Fermi systems are considered as examples. A computer algebra implementation in SymbolicC++ is provided.
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