discrete, finite system is expressed in matrix form and diagonalized using a computer. Exact diagonalization is only feasible for systems with a few tens of particles...
11 KB (1,281 words) - 14:55, 10 November 2024
In mathematics, an exact sequence is a sequence of morphisms between objects (for example, groups, rings, modules, and, more generally, objects of an...
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conformal field theory, as evidenced by Monte Carlo simulations, exact diagonalization results in quantum models, and quantum field theoretical arguments...
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Statistical mechanics (section Exact)
simply enumerating over all possible states of the system (using exact diagonalization in quantum mechanics, or integral over all phase space in classical...
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{\displaystyle {\mathcal {S}}} of subsets of a set X {\displaystyle X} , an exact cover is a subcollection S ∗ {\displaystyle {\mathcal {S}}^{*}} of S {\displaystyle...
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Conference on Artificial Intelligence. 2: 903–910. Erik Koch (2019). "Exact Diagonalization and Lanczos Method" (PDF). In E. Pavarini; E. Koch; S. Zhang (eds...
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then investigated by studies of participation numbers obtained by exact diagonalization, multifractal properties, level statistics and many others. Especially...
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Eigenstate thermalization hypothesis (section Equivalence of the diagonal and microcanonical ensembles)
true for a wide variety of interacting systems using numerical exact diagonalization techniques, to within the uncertainty of these methods. It has also...
39 KB (5,548 words) - 23:50, 19 June 2025
M.; Herviou, Loïc; Wilhelm, Patrick H.; Rychkov, Slava (2025). "Exact Diagonalization, Matrix Product States and Conformal Perturbation Theory Study of...
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Rayleigh–Ritz method from quantum mechanics. It is closely related to the exact diagonalization method used to treat spin systems in condensed matter physics. The...
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ways to solve the AIM, such as Numerical renormalization group Exact diagonalization Iterative perturbation theory Non-crossing approximation Continuous-time...
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; Machida, M. (2005). 16.447 TFlops and 159-Billion-dimensional Exact-diagonalization for Trapped Fermion-Hubbard Model on the Earth Simulator. Proc....
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exponential problem, which can be solved directly by means of matrix diagonalization. 3ds Max 3D-Coat AC3D Anim8or AutoCAD Blender Carrara CATIA (Imagine...
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Leo Falicov. His 1991 dissertation was focused on small-cluster exact diagonalization studies, examining magnetism and symmetry properties. He was a National...
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frustrated magnetism, and topological isolators. In her group exact diagonalization, single particle Green's Functions and machine learning techniques...
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Decan (redirect from Diagonal Star Clocks)
hōkoku (in Japanese). 48 (4): 1–6. Neugebauer, Otto (1969) [1957]. The Exact Sciences in Antiquity (2nd ed.). Dover Publications. ISBN 978-0-486-22332-2...
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physical characteristic that is intrinsically quantum mechanical. A formally exact quantum master equation is the Nakajima–Zwanzig equation, which is in general...
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Homological algebra (redirect from Long exact sequence in homology)
kernels and cokernels. The most common type of exact sequence is the short exact sequence. This is an exact sequence of the form A ↪ f B ↠ g C {\displaystyle...
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Gödel's incompleteness theorems (redirect from Gödel's diagonalization method)
This is done using a technique called "diagonalization" (so-called because of its origins as Cantor's diagonal argument). Within the formal system this...
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nine lemma (or 3×3 lemma) is a statement about commutative diagrams and exact sequences valid in the category of groups and any abelian category. It states:...
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Eight queens puzzle (section Exact enumeration)
all natural numbers n with the exception of n = 2 and n = 3. Although the exact number of solutions is only known for n ≤ 27, the asymptotic growth rate...
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two open ends are connected to the diagonal segments' midpoints: (0,2)–(1⁄2,21⁄2) and (2,3)–(11⁄2,21⁄2) The exact origin of the symbol is unclear; however...
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correlated FQHE system and provide numerical result comparable to those exact-diagonalization results. It opens a new line to attack the problem of FQHE through...
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mechanics, the canonical ensemble affords a simple description since diagonalization provides a discrete set of microstates with specific energies. The...
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vibration analysis, atomic orbitals, facial recognition, and matrix diagonalization. In essence, an eigenvector v of a linear transformation T is a nonzero...
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1103/revmodphys.55.331. ISSN 0034-6861. Andrei, N. (1980-08-04). "Diagonalization of the Kondo Hamiltonian". Physical Review Letters. 45 (5). American...
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Definite matrix (section Simultaneous diagonalization)
what is said on simultaneous diagonalization in the article Diagonalizable matrix, which refers to simultaneous diagonalization by a similarity transformation...
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≤ . {\displaystyle \,\leq \,.} Two equivalent families of sets have the exact same limit points and also the same cluster points. No matter the topology...
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Taekwondo stances (section Diagonal stance)
leg easier to lift and increasing the speed of kicks. Regardless of the exact stance, this is the most familiar stance for a martial artist. All other...
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reported that the Lambert W {\displaystyle W} function provides an exact solution to the quantum-mechanical double-well Dirac delta function model...
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