Tetrahedron

Tetrahedron A tetrahedron is a space figure with four triangular faces. The prefix “tetra” means four. In the figure below are 2 examples. Properties of a tetrahedron A tetrahedron is a pyramid with one triangular base and three triangular sides, called lateral faces. The

Tetrahedron equation

The tetrahedron equation arises as a generalization of the Yang–Baxter equation to the 2+1-dimensional quantum field theory and the 3-dimensional statistical mechanics tetrahedral Zamolodchikov algebras related items Yang-Baxter equation (YBE) R-matrix

## Tetrahedron equation and matrix product method

· PDF 檔案Tetrahedron equation and matrix product method RAQIS’16 26 Aug. 2016, Univ. of Geneva Atsuo Kuniba (Univ. Tokyo) Joint work with S. Maruyama and M. Okado Reference Multispecies totally asymmetric zero range process I, II Journal of Integrable Systems (2016)

## Tetrahedron and 3D reflection equation from PBW bases of the …

· PDF 檔案Tetrahedron equation Matrix equation on 1⊗⋯⊗ 6 ( : linear space) ? acts non-trivially only on ⊗ ⊗ . Tetrahedron equation = Yang-Baxter equation up to conjugation Unlike Yang-Baxter equation, a few families of solutions are 6/68

## Tetrahedron equation and generalized quantum groups …

We construct 2 n-families of solutions of the YangBaxter equation from nproducts of three-dimensional R and L operators satisfying the tetrahedron equation.They are identified with the quantum R matrices for the Hopf algebras known as generalized quantum

## Tetrahedron Equation and Quantum R Matrices for Spin …

Tetrahedron Equation and Yang-Baxter Equation: General Scheme In this section, we explain a general scheme to generate a series of solutions to the Yang-Baxter equation from a solution of the tetrahedron equation. Let R be a linear operator acting on the (2.1

## Tetrahedron Reﬂection Equation.

· PDF 檔案dimension (tetrahedron reﬂection equation) is given in this paper. Moving to higher dimensions we follow the kinematic analogy transforming the objects corresponding to events in smaller dimensions to generators of a Zamolodchikov algebra while de ning relations

Tetrahedron equation

* Kuniba, Atsuo, and Masato Okado. ‘Tetrahedron Equation and Quantum $R$ Matrices for $q$-Oscillator Representations’. arXiv:1411.2213 [math-Ph, Physics:nlin], 9

## (PDF) Derivation of volume of tetrahedron/pyramid …

Derivation of volume of tetrahedron/pyramid: Let there be any arbitrary plane having the equation in 3-D space in the intercept form as follows:( )The above equation shows that are the intercepts of the plane with the coordinate axes x, y & z-axis respectively i.e. the

## Tetrahedron equation and quantum $R$ matrices for …

the tetrahedron equation to the Skip to main content See what’s new with book lending at the Internet Archive A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying glass. An illustration of a magnifying

Surface Area of Tetrahedron Formula

Surface Area of Tetrahedron formula. shapes formulas list online. Formula: S = √3a 2 Where, a = Side Length of Triangle s = Surface Area of Tetrahedron Related Calculator:

## QUANTUM GEOMETRY OF 3-DIMENSIONAL LATTICES …

Quantization of this structure allowed us to obtain new solutions of the tetrahedron equation (the 3D analog of the Yang-Baxter equation) as well as reproduce all those that were previously known. These solutions generate an infinite number of non-trivial solutions of the Yang-Baxter equation and also define integrable 3D models of statistical mechanics and quantum field theory.

Tetrahedron Quality Factors

Values for the regular tetrahedron of unit side length are listed in Table 2.Calculating the Quality Factors The quality factors in equations 1 and 2 can now be found with the help of these formulas. For Q G, we average the 6 distances between the 4 points to get the side L of the “ideal” regular tetrahedron, with volume L 3 /12 and surface L 2.

## (PDF) The Modified Tetrahedron Equation and Its …

The Modified Tetrahedron Equation and Its Solutions International Journal of Modern Physics A, 2004 S. Pakuliak G. von Gehlen S. Sergeev S. Pakuliak G. von Gehlen S. Sergeev Download PDF Download Full PDF Package This paper A short summary of this

## Tetrahedron equation and the algebraic geometry : I. G. …

The tetrahedron equation arises as a generalization of the famous Yang–Baxter equation to the 2+1-dimensional quantum field theory and the 3-dimensional EMBED (for wordpress.com hosted blogs and archive.org item tags)

## The Tetrahedron Equation and the Four Simplex …

The Tetrahedron Equation and the Four Simplex Equation Jean Michel Maillet (), Frank Nijhoff (Clarkson U.) Jun, 1988 18 pages Report number: FERMILAB-PUB-88-071-T View in: KEK scanned document pdf links cite 0 citations Citations per year 0 Citations