In physics, and specifically in quantum field theory, a bispinor is a mathematical construction that is used to describe some of the fundamental particles...

particles such as photons, and as a spinor or bispinor for other particles such as electrons. Spinors and bispinors behave similarly to vectors: they have definite...

space of bispinors, Ux , is also assumed at every point in spacetime, endowed with the bispinor representation of the Lorentz group. The bispinor fields...

equation, and is a certain combination of two Weyl spinors, specifically, a bispinor that transforms "spinorially" under the action of the Lorentz group. Dirac...

numbers. (⁠1/2⁠, 0) ⊕ (0, ⁠1/2⁠) is the bispinor representation. See also Dirac spinor and Weyl spinors and bispinors below. (1, ⁠1/2⁠) ⊕ (⁠1/2⁠, 1) is the...

{\displaystyle (i\gamma ^{\mu }\partial _{\mu }-m)\psi =0,} transforms as a bispinor, that is, under the (1/2, 0) ⊕ (0, 1/2) representation of the O(1, 3) group...

functions in the Dirac theory are vectors of four complex numbers (known as bispinors), two of which resemble the Pauli wavefunction in the non-relativistic...

{\displaystyle \gamma ^{\mu }} are Dirac matrices. ψ {\displaystyle \psi } a bispinor field of spin-1/2 particles (e.g. electron–positron field). ψ ¯ ≡ ψ † γ...

Lorentz group, including the bispinor representation. In (T2) one simply replaces all occurrences of Λ by the bispinor representation Π(Λ), u ⊗ v → Π...

( x , t ) {\displaystyle \psi (\mathbf {x} ,t)} is the wave function (bispinor) of a fermionic particle spin-1/2, and H is the Dirac Hamiltonian of a...

Schrödinger equation, one must find four complex functions that make up a bispinor. The first and second functions (or components of the spinor) correspond...

3-vector, the space on which the fundamental representation of SU(3) acts), a bispinor (Dirac 4-spinor), an nf vector, and a Grassmann variable. Thus, the composition...

four-component object in special relativity that is not a four-vector, see bispinor. It is similarly defined, the difference being that the transformation...

with period 8. (cf. the Clifford algebra clock.) Weyl–Brauer matrices Bispinor Clifford module It is possible and even likely that many or most of the...

{\displaystyle \psi _{1},\psi _{2}} are two-component spinor, forming a bispinor. Using the following ansatz: ( ψ 1 ψ 2 ) = e − i m c 2 t ℏ ( ψ χ ) , {\displaystyle...

neutrinos, and 2·3·3 = 18 for quarks). Each of these is a four component bispinor, for a total of 96 complex-valued components for the fermion field. An...

Extensions of the Algebra of the Generators of the Poincaré Group by the Bispinor Generators», in I. E. Tamm Memorial Volume Problems of Theoretical Physics...

a spinor with 4N elements, since each electron is described by a Dirac bispinor with 4 elements as in the Dirac equation, and the total wave function is...

etc., of the Minkowski space (and also more complicated objects like bispinors and others). An example of a covariant equation is the Lorentz force equation...

prediction of a particle and corresponding antiparticle. See Dirac spinor and bispinor for further description of these spinors. In the non-relativistic limit...

particle/anti-particle states (equivalently, the chiral states in the Weyl basis). The bispinor, insofar as it has linearly independent left and right components, can...

relativistic dispersion relation and obtained Dirac equation, described by a bispinor. This equation can be decoupled into two spinors in the non-relativistic...

lower spinor | ψ L ⟩ {\textstyle |\psi _{L}\rangle } of the matrix Dirac bispinor | ψ ⟩ {\textstyle |\psi \rangle } to the corresponding geometric algebra...

blocks of zero matrices. The above matrix operator contracts with one bispinor index of ψ at a time (see matrix multiplication), so some properties of...

{\displaystyle (r,\theta ,\phi )} , Chandrasekhar showed that the four bispinor components of the wave function, [ F 1 ( r , θ ) F 2 ( r , θ ) G 1 ( r...

space in SO+(1, 1), but this solution generalizes to any massive Dirac bispinor in SO+(1, 3). The configuration space consists of functionals Ψ [ u ] {\displaystyle...

Oscillations Network Bismuth strontium calcium copper oxide Bispectral analysis Bispinor Bistatic Doppler shift Bistatic range Bivector Bjarne Tromborg Bjerrum...