منابع مشابه
Gaussian operator bases for correlated fermions
We formulate a general multi-mode Gaussian operator basis for fermions, to enable a positive phase-space representation of correlated Fermi states. The Gaussian basis extends existing bosonic phase-space methods to Fermi systems and thus allows first-principles dynamical or equilibrium calculations in quantum many-body Fermi systems. We prove the completeness of the basis and derive differentia...
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One of the few methods for generating efficient function spaces for multi-D Schrödinger eigenproblems is given by Garashchuk and Light in J.Chem.Phys. 114 (2001) 3929. Their Gaussian basis functions are wider and sparser in high potential regions, and narrower and denser in low ones. We suggest a modification of their approach based on the following observation: In very steep potential regions,...
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Acknowledgements I would like to thank my thesis advisor, Bruno Buchberger for introducing me to the subject of the connection between Grr obner bases and subresultants, and for all the support he provided during my Ph.D. studies. I also thank him for the eeorts he made for creating and developing the institute RISC-Linz, which is a wonderful environment for research in symbolic computation. I ...
متن کاملQuasirandom distributed Gaussian bases for bound problems
We introduce quasirandom distributed Gaussian bases ~QDGB! that are well suited for bound problems. The positions of the basis functions are chosen quasirandomly while their widths and density are functions of the potential. The basis function overlap and kinetic energy matrix elements are analytical. The potential energy matrix elements are accurately evaluated using few-point quadratures, sin...
متن کاملEquivariant Gröbner bases and the Gaussian two-factor model
We show that the kernel I of the ring homomorphism R[yij | i, j ∈ N, i > j]→ R[si, ti | i ∈ N] determined by yij 7→ sisj +titj is generated by two types of polynomials: off-diagonal 3 × 3-minors and pentads. This confirms a conjecture by Drton, Sturmfels, and Sullivant on the Gaussian two-factor model. Our proof is computational: inspired by work of Aschenbrenner and Hillar we introduce the con...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 1995
ISSN: 1063-5203
DOI: 10.1006/acha.1995.1022