Reviews of modern physics, ISSN 1539-0756, 2005, Volume 77, Issue 1, pp. 259 - 315

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription...

QUANTUM SPIN CHAIN | DIMENSIONAL HUBBARD-MODEL | METAL-INSULATOR-TRANSITION | KONDO-LATTICE MODEL | STATE PHASE-DIAGRAM | NEAREST-NEIGHBOR INTERACTIONS | PHYSICS, MULTIDISCIPLINARY | T-J MODEL | ANTIFERROMAGNETIC HEISENBERG CHAIN | FULL CONFIGURATION-INTERACTION | HALDANE-GAP ANTIFERROMAGNETS | Hamiltonian systems | Research | Quantum chemistry | Analysis | Renormalization (Physics) | NUMERICAL ANALYSIS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ONE-DIMENSIONAL CALCULATIONS | ALGORITHMS | QUANTUM MECHANICS | THREE-DIMENSIONAL CALCULATIONS | TWO-DIMENSIONAL CALCULATIONS | ACCURACY | DENSITY MATRIX | HILBERT SPACE | NUCLEAR PHYSICS | QUANTUM INFORMATION | THERMODYNAMICS | INFORMATION THEORY | EQUILIBRIUM | TIME DEPENDENCE | RENORMALIZATION

QUANTUM SPIN CHAIN | DIMENSIONAL HUBBARD-MODEL | METAL-INSULATOR-TRANSITION | KONDO-LATTICE MODEL | STATE PHASE-DIAGRAM | NEAREST-NEIGHBOR INTERACTIONS | PHYSICS, MULTIDISCIPLINARY | T-J MODEL | ANTIFERROMAGNETIC HEISENBERG CHAIN | FULL CONFIGURATION-INTERACTION | HALDANE-GAP ANTIFERROMAGNETS | Hamiltonian systems | Research | Quantum chemistry | Analysis | Renormalization (Physics) | NUMERICAL ANALYSIS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ONE-DIMENSIONAL CALCULATIONS | ALGORITHMS | QUANTUM MECHANICS | THREE-DIMENSIONAL CALCULATIONS | TWO-DIMENSIONAL CALCULATIONS | ACCURACY | DENSITY MATRIX | HILBERT SPACE | NUCLEAR PHYSICS | QUANTUM INFORMATION | THERMODYNAMICS | INFORMATION THEORY | EQUILIBRIUM | TIME DEPENDENCE | RENORMALIZATION

Journal Article

Topology and its Applications, ISSN 0166-8641, 03/2020, Volume 272, p. 106984

Let G be a locally essential subgroup of a locally compact abelian group K. Then:(i)t(G)=χ(G)=χ(K), where t(G) and χ(G) are the tightness and the character of G, respectively...

Radial group | Heisenberg group | (Locally) minimal group | Character | Nilpotent group | (Locally) precompact group | Sequential group | Metrizable group | Tightness | Fréchet-Urysohn group | Weight | (Locally) compact group | TOPOLOGICAL-GROUPS | MATHEMATICS, APPLIED | COUNTABLY COMPACT | MATHEMATICS | Frechet-Urysohn group

Radial group | Heisenberg group | (Locally) minimal group | Character | Nilpotent group | (Locally) precompact group | Sequential group | Metrizable group | Tightness | Fréchet-Urysohn group | Weight | (Locally) compact group | TOPOLOGICAL-GROUPS | MATHEMATICS, APPLIED | COUNTABLY COMPACT | MATHEMATICS | Frechet-Urysohn group

Journal Article

Annals of physics, ISSN 0003-4916, 2011, Volume 326, Issue 1, pp. 96 - 192

The density-matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems...

GROUP ALGORITHM | PHASE | PHYSICS, MULTIDISCIPLINARY | HEISENBERG CHAIN | FIELD-THEORY | THERMODYNAMIC LIMIT | T-J MODEL | SYSTEMS | QUANTUM SPIN CHAINS | ENTROPY | ANTIFERROMAGNETS | Algorithms | Density | Matrix | Lattice theory | Renormalization group methods | Correlation | Computer simulation | Dynamics | Lattices | Exposure | Dynamical systems | Age | Physics - Strongly Correlated Electrons | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MATRICES | ONE-DIMENSIONAL CALCULATIONS | ALGORITHMS | POTENTIALS | QUANTUM STATES | SIMULATION | MATHEMATICAL LOGIC | DENSITY MATRIX | RENORMALIZATION

GROUP ALGORITHM | PHASE | PHYSICS, MULTIDISCIPLINARY | HEISENBERG CHAIN | FIELD-THEORY | THERMODYNAMIC LIMIT | T-J MODEL | SYSTEMS | QUANTUM SPIN CHAINS | ENTROPY | ANTIFERROMAGNETS | Algorithms | Density | Matrix | Lattice theory | Renormalization group methods | Correlation | Computer simulation | Dynamics | Lattices | Exposure | Dynamical systems | Age | Physics - Strongly Correlated Electrons | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MATRICES | ONE-DIMENSIONAL CALCULATIONS | ALGORITHMS | POTENTIALS | QUANTUM STATES | SIMULATION | MATHEMATICAL LOGIC | DENSITY MATRIX | RENORMALIZATION

Journal Article

2008, Mathematical surveys and monographs, ISBN 9780821844953, Volume no. 151., xvi, 299

Book

Physical review letters, ISSN 1079-7114, 2008, Volume 101, Issue 11, p. 117203

We numerically study the spin 1/2 antiferromagnetic Heisenberg model on the kagome lattice using the density-matrix renormalization group method...

QUANTUM ANTIFERROMAGNETS | PHYSICS, MULTIDISCIPLINARY | HEISENBERG-ANTIFERROMAGNET | NEEL ORDER | MODEL | EXACT SPECTRA | LATTICE

QUANTUM ANTIFERROMAGNETS | PHYSICS, MULTIDISCIPLINARY | HEISENBERG-ANTIFERROMAGNET | NEEL ORDER | MODEL | EXACT SPECTRA | LATTICE

Journal Article

Modern physics letters A, ISSN 1793-6632, 2019, Volume 34, Issue 31, p. 1950256

Quantum holonomies of closed paths on the torus [Formula: see text] are interpreted as elements of the Heisenberg group [Formula: see text...

Quantum | Heisenberg group | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | holonomies | PHYSICS, MATHEMATICAL | GEOMETRY | PHYSICS, PARTICLES & FIELDS

Quantum | Heisenberg group | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | holonomies | PHYSICS, MATHEMATICAL | GEOMETRY | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Chemical Theory and Computation, ISSN 1549-9618, 01/2018, Volume 14, Issue 1, pp. 166 - 179

.... The density matrix renormalization group (DMRG) brings such systems for the first time easily within reach of multireference wave function methods by enabling the use of unprecedentedly large active spaces...

OXYGEN-EVOLVING COMPLEX | BINUCLEAR COMPLEXES | TRANSITION-METAL-COMPLEXES | AB-INITIO | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | PHOTOSYSTEM-II | CHEMISTRY, PHYSICAL | BASIS-SETS | MAGNETIC-PROPERTIES | FUNCTIONAL CALCULATIONS | HEISENBERG EXCHANGE | BROKEN SYMMETRY APPROACH

OXYGEN-EVOLVING COMPLEX | BINUCLEAR COMPLEXES | TRANSITION-METAL-COMPLEXES | AB-INITIO | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | PHOTOSYSTEM-II | CHEMISTRY, PHYSICAL | BASIS-SETS | MAGNETIC-PROPERTIES | FUNCTIONAL CALCULATIONS | HEISENBERG EXCHANGE | BROKEN SYMMETRY APPROACH

Journal Article

International journal of mathematics, ISSN 1793-6519, 2019, Volume 30, Issue 9, p. 1950045

We study in this paper the local rigidity proprieties of deformation parameters of the natural action of a discontinuous group [Formula: see text...

proper action | SPACE | MATHEMATICS | LIE-GROUPS | THEOREM | discontinuous group | deformation space | Heisenberg motion group | local rigidity | SUBGROUPS

proper action | SPACE | MATHEMATICS | LIE-GROUPS | THEOREM | discontinuous group | deformation space | Heisenberg motion group | local rigidity | SUBGROUPS

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 09/2009, Volume 42, Issue 35, pp. 353001 - 353001 (28)

...). A single formula for the bases is obtained from a polar decomposition of SU(2) and is analyzed in terms of cyclic groups, quadratic Fourier transforms, Hadamard matrices and generalized Gauss sums...

PHASE | SYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | RACAH ALGEBRA | LINE | QUANTUM-SYSTEMS | MEAN KINGS PROBLEM | PHYSICS, MATHEMATICAL | WIGNER | OPERATORS | Physics - Quantum Physics | Quantum Physics | Physics

PHASE | SYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | RACAH ALGEBRA | LINE | QUANTUM-SYSTEMS | MEAN KINGS PROBLEM | PHYSICS, MATHEMATICAL | WIGNER | OPERATORS | Physics - Quantum Physics | Quantum Physics | Physics

Journal Article

Forum Mathematicum, ISSN 0933-7741, 01/2020, Volume 32, Issue 1, pp. 189 - 199

We obtain some new results about products of large and small sets in the Heisenberg group as well as in the affine group over the prime field...

affine group | Heisenberg group | 11B75 | growth | 11B13 | sum-product | MATHEMATICS | MATHEMATICS, APPLIED | FINITE | THEOREM

affine group | Heisenberg group | 11B75 | growth | 11B13 | sum-product | MATHEMATICS | MATHEMATICS, APPLIED | FINITE | THEOREM

Journal Article

Geometriae Dedicata, ISSN 0046-5755, 2/2018, Volume 192, Issue 1, pp. 157 - 170

We show that if A is a closed subset of the Heisenberg group whose vertical projections are nowhere dense, then the complement of A is...

Geometry | Quasiconvexity | 53C17 | Heisenberg group | Mathematics | Carnot–Caratheodory | MATHEMATICS | Carnot-Caratheodory | CARNOT GROUPS | DIMENSION | SPACES | GEOMETRY

Geometry | Quasiconvexity | 53C17 | Heisenberg group | Mathematics | Carnot–Caratheodory | MATHEMATICS | Carnot-Caratheodory | CARNOT GROUPS | DIMENSION | SPACES | GEOMETRY

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2017, Volume 262, Issue 3, pp. 1799 - 1821

...–Kohn–Nirenberg type inequalities on stratified groups and study some of their consequences. Our results reflect on many results previously known in special cases...

Rellich inequality | Hardy inequality | Horizontal estimate | p-sub-Laplacian | Stratified group | Caffarelli–Kohn–Nirenberg inequality | MATHEMATICS | HEISENBERG-GROUP | CONSTANTS | Caffarelli-Kohn-Nirenberg inequality | EXTREMAL-FUNCTIONS

Rellich inequality | Hardy inequality | Horizontal estimate | p-sub-Laplacian | Stratified group | Caffarelli–Kohn–Nirenberg inequality | MATHEMATICS | HEISENBERG-GROUP | CONSTANTS | Caffarelli-Kohn-Nirenberg inequality | EXTREMAL-FUNCTIONS

Journal Article