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arXiv · 1208.4721

Hamilton Operators, Discrete Symmetries, Brute Force and SymbolicC++

Willi-Hans Steeb·Yorick Hardy
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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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Willi-Hans Steeb, Yorick Hardy. 2012-08-23. Hamilton Operators, Discrete Symmetries, Brute Force and SymbolicC++. https://doi.org/10.1142/s0129183112500957

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