An introduction to numerical methods in low-dimensional quantum systems
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Undergraduate course
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Sociedade Brasileira Fisica
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Abstract
This is an introductory course to the Lanczos Method and Density Matrix Renormalization Group Algorithms (DMRG), two amona the leading numerical techniques applied in studies of low-dimensional quantum models. The idea of studying the models on clusters of a finite size in order to extract their physical properties is briefly discussed. The important role played by the model symmetries is also examined. Special emphasis is given to the DMRG.
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English
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Brazilian Journal Of Physics. Sao Paulo: Sociedade Brasileira Fisica, v. 33, n. 1, p. 55-72, 2003.
