Symmetric-group-based methods in quantum chemistry

DOI10.1023/A:1019196502971zbMath0906.92036OpenAlexW1779083935MaRDI QIDQ1126934

Jacek Karwowski

Publication date: 23 February 1999

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019196502971

zbMATH Keywords

Hamiltonianeigenvalue problemHeisenberg modelstatistical spectroscopy\(N\)-electron problemHeisenberg Hamiltonian spectrasymmetric group approach

Mathematics Subject Classification ID

Molecular physics (81V55) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (1)

Energy bands for finite two-dimensional systems in a quantised magnetic field: the symmetry of the model

Cites Work

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• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• Relationship between S N and U(n) isoscalar factors and higher-order U(n) invariants
• On the propagation of the operator average in truncated space
• Spectral density distribution moments ofN-electron Hamiltonians in the low-density limit
• Traces of powers of the Hamiltonian operator in finite-dimensional antisymmetric model spaces
• An algorithm for generating projective reduction formulas for matrix elements of many-electron wavefunctions

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