The Gell-Mann matrices, developed by Murray Gell-Mann, are a set of eight linearly independent 3×3 traceless Hermitian matrices used in the study of the...

the Pauli matrices refers to a generalization from 2-level systems (Pauli matrices acting on qubits) to 3-level systems (Gell-Mann matrices acting on...

Murray Gell-Mann (/ˈmʌri ˈɡɛl ˈmæn/; September 15, 1929 – May 24, 2019) was an American theoretical physicist who played a preeminent role in the development...

three dimensions Gamma matrices § Dirac basis Angular momentum Gell-Mann matrices Poincaré group Generalizations of Pauli matrices Bloch sphere Euler's...

belongs to the adjoint representation (8), and can be written using the Gell-Mann matrices as A μ = A μ a λ a . {\displaystyle {\mathbf {A} }_{\mu }=A_{\mu }^{a}\lambda...

{\displaystyle 2\times 3} ⁠. Matrices are commonly used in linear algebra, where they represent linear maps. In geometry, matrices are widely used for specifying...

algebra {Γa, Γb} = 2 ηab physics portal Pauli matrices Gell-Mann matrices Higher-dimensional gamma matrices Fierz identity Spacetime algebra Kukin 2016. Lonigro...

a = 1 … 8 ) {\displaystyle \lambda _{a}\,(a=1\ldots 8)\,} are the Gell-Mann matrices. The symbol G μ ν a {\displaystyle G_{\mu \nu }^{a}\,} represents...

T_{a}={\frac {\lambda _{a}}{2}}~,} where λa, the Gell-Mann matrices, are the SU(3) analog of the Pauli matrices for SU(2): λ 1 = ( 0 1 0 1 0 0 0 0 0 ) , λ 2...

component of spacetime and gluon color charge. The Gell-Mann matrices λa are eight 3 × 3 matrices which form matrix representations of the SU(3) group...

where T 3 {\displaystyle T_{3}} and T 8 {\displaystyle T_{8}} are the Gell-Mann matrices of SU(3)L and β {\displaystyle \beta } and I {\displaystyle I} are...

Hermitian matrices include the Pauli matrices, the Gell-Mann matrices and their generalizations. In theoretical physics such Hermitian matrices are often...

and a commonly used list for each is: These are equivalent to the Gell-Mann matrices. The critical feature of these particular eight states is that they...

Dirac matrices, Ga μ is the 8-component ( a = 1 , 2 , … , 8 {\displaystyle a=1,2,\dots ,8} ) SU(3) gauge field, λa are the 3 × 3 Gell-Mann matrices, generators...

gs is the coupling constant of the strong force; ta = λa/2 are the Gell-Mann matrices λa divided by 2; a is a color index in the adjoint representation...

processes. Gamma matrices — 4 × 4 matrices in quantum field theory. Gell-Mann matrices — a generalization of the Pauli matrices; these matrices are one notable...

leptons are fictional and not related to the Eightfold Way or the eight Gell-Mann matrices appearing in real particle physics. The ratios of their masses translates...

In physics, the Gell-Mann–Okubo mass formula provides a sum rule for the masses of hadrons within a specific multiplet, determined by their isospin (I)...

curve Galois group Gell-Mann matrices Group object Hilbert space Integer Lie group Matrix Modular arithmetic Number Pauli matrices Real number Quaternion...

independently proposed by physicists Murray Gell-Mann and George Zweig in 1964. The proposal came shortly after Gell-Mann's 1961 formulation of a particle classification...

U(1)×U(1) subgroup. If this is chosen to be the one generated by the Gell-Mann matrices λ3 and λ8, then the maximal abelian gauge is that which maximizes...

anisotropic oscillator is a nonlinear extension of u(2). The eight Gell-Mann matrices λn (see article for them and the structure constants) are important...

Representation theory of SU(2) Representation theory of SL2(R) Pauli matrices Gell-Mann matrices Poisson bracket Noether's theorem Wigner's classification Gauge...

} where λ {\displaystyle \lambda \,} , the Gell-Mann matrices, are the SU(3) analog of the Pauli matrices for SU(2): These obey the relations [ T a ,...

Murray Gell-Mann and the Israeli physicist Yuval Ne'eman independently and simultaneously proposed the idea in 1961. The name comes from Gell-Mann's (1961)...

{\displaystyle \lambda _{\alpha }} is one of the eight Gell-Mann matrices. The Gell-Mann matrices give a representation of the color symmetry group SU(3)...

/4}R_{x}(\pi /2)} . Similar rotation operator gates exist for SU(3) using Gell-Mann matrices. They are the rotation operators used with qutrits. The qubit-qubit...

_{\nu }),} where λ ν {\displaystyle \lambda _{\nu }} are the eight Gell-Mann matrices and ξ ∈ R 8 {\displaystyle {\boldsymbol {\xi }}\in \mathbb {R} ^{8}}...

the Pauli matrix algebra of the spin operators. It consists of the Gell-Mann matrices, λ 1 = ( 0 1 0 1 0 0 0 0 0 ) λ 2 = ( 0 − i 0 i 0 0 0 0 0 ) λ 3 = (...

in U(3), as a series circuit of at most 9 gates. Gell-Mann matrices Generalizations of Pauli matrices Mutually unbiased bases Quantum computing Radix economy...