Application of Advanced Diagonalization Methods to Quantum Spin Systems

DOI10.1007/978-3-319-12307-3_70zbMath1330.81096OpenAlexW652882595MaRDI QIDQ3459766

Ralf Meyer, Jie Yu Wang

Publication date: 11 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://zone.biblio.laurentian.ca/dspace/handle/10219/2189

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Cites Work

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• An introduction to quantum spin systems.
• Improved algorithms for the lowest few eigenvalues and associated eigenvectors of large matrices
• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• The Davidson Method
• A new method for diagonalising large matrices

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