Bethe lattice (also called a regular tree) is an infinite connected cycle-free graph where all vertices have the same number of neighbors. The Bethe lattice...

calculation Bethe lattice, a regular infinite tree structure used in statistical mechanics Bravais lattice, a repetitive arrangement of atoms Lattice C, a compiler...

Hans Albrecht Bethe ForMemRS (German: [ˈhans ˈbeːtə] ; July 2, 1906 – March 6, 2005) was a German-American theoretical physicist who made major contributions...

the Bethe ansatz is an ansatz for finding the exact wavefunctions of certain quantum many-body models, most commonly for one-dimensional lattice models...

mathematical terms as a model in percolation theory, which he analyses as a Bethe lattice. The model includes active and latent failures. Active failures encompass...

= 0.59274621 ± 0.00000013.   A limit case for lattices in high dimensions is given by the Bethe lattice, whose threshold is at pc = ⁠1/z − 1⁠ for a coordination...

Lattice QCD is a well-established non-perturbative approach to solving the quantum chromodynamics (QCD) theory of quarks and gluons. It is a lattice gauge...

transitions. MFT has been used in the Bragg–Williams approximation, models on Bethe lattice, Landau theory, Pierre–Weiss approximation, Flory–Huggins solution theory...

u}(3,Q)=1} because of the self-matching of triangulated lattices. Cayley tree (Bethe lattice) with coordination number z : p c = 1 / ( z − 1 ) {\displaystyle...

1088/0305-4608/6/5/017. Cusack, S. (1976). "Correlated bond percolation on the Bethe lattice". Journal of Physics A: Mathematical and General. 9 (6): L55–L59. Bibcode:1976JPhA...

Flory-Stockmayer theory of gelation, which was equivalent to percolation on the Bethe lattice and represents the first paper in the percolation field. In 1940 he...

In physics, lattice gauge theory is the study of gauge theories on a spacetime that has been discretized into a lattice. Gauge theories are important...

ingredient in the proof of the Banach–Tarski paradox. More generally, the Bethe lattice or Cayley tree is the Cayley graph of the free group on n {\displaystyle...

a Bethe lattice, a regular infinite tree. Apeirogonal antiprism Apeirogonal prism Apeirohedron Mosseri, R.; Sadoc, J.F. (1982), "The Bethe lattice: a...

ISSN 1042-9832. S2CID 6601396. Mézard, M.; Parisi, G. (2001). "The Bethe lattice spin glass revisited". The European Physical Journal B. 20 (2): 217–233...

applications, and is formalized by the notion of a covering space. Bethe lattice is the universal cover of a Cayley graph Covering graph, a covering...

theory of Tits buildings. In statistical mechanics they are known as Bethe lattices. Decision tree Hypertree Multitree Pseudoforest Tree structure (general)...

S2CID 9637234. D Dhar, S N Majumdar (1990). "Abelian sandpile model on the Bethe lattice". Journal of Physics A: Mathematical and General. 23 (4333): 4333–4350...

Roch. These result links the extremality of the Ising model on the Bethe lattice to a phase transition in the amount of data required for statistical...

(1971). Combinatorics In Statistical Physics Hard Constraints and the Bethe Lattice: Adventures at the Interface of Combinatorics and Statistical Physics...

J.; Leath, P. L.; Reich, G. R. (1979), "Bootstrap percolation on a Bethe lattice", Journal of Physics C: Solid State Physics, 12 (1): L31–L35, Bibcode:1979JPhC...

spin 1/2 Heisenberg model in one dimension may be solved exactly using the Bethe ansatz. In the algebraic formulation, these are related to particular quantum...

Newtonian gravitational motion Integrable lattice models Ablowitz–Ladik lattice Toda lattice Volterra lattice Integrable systems in 1 + 1 dimensions AKNS...

Hamiltonian of the Heisenberg model was determined, by Hans Bethe using the Bethe ansatz. Now the term Bethe ansatz is used generally to refer to many ansatzes...

formed. The polymer we create follows the form of a Cayley tree or Bethe lattice – known from the field of statistical mechanics. The number of branches...

under the supervision of James Sethna on the spin glass model in the Bethe Lattice. Carlson worked in the Kavli Institute for Theoretical Physics as a...

a kinetic term allowing for tunneling ("hopping") of particles between lattice sites and a potential term reflecting on-site interaction. The particles...

Betatron Bethe ansatz Bethe formula Bethe lattice Bethe–Bloch formula Bethe–Feynman formula Bethe–Salpeter equation Bethe–Weizsäcker formula Bethe–Weizsäcker...

glueballs, including their excitations, were confirmed by Dyson–Schwinger/Bethe–Salpeter equations in Yang–Mills theory. Particle accelerator experiments...

periodic lattice. Unlike the prototypical Heisenberg spin chain, which only includes interactions between neighboring sites of the lattice, the Inozemtsev...