HAMILTON OPERATORS, DISCRETE SYMMETRIES, BRUTE FORCE AND SYMBOLICC++

Willi-Hans Steeb () and Yorick Hardy ()
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Willi-Hans Steeb: International School for Scientific Computing, University of Johannesburg, Auckland Park 2006, South Africa
Yorick Hardy: Department of Mathematical Sciences, University of South Africa, Pretoria, South Africa

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 01, 1-10

Abstract: To find the discrete symmetries of a Hamilton operator Ĥ 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.

Keywords: Symmetries; permutation matrices; Hamilton operators; 02.20.-a; 03.65.-w; 03.65.fd (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183112500957

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