Search results
Results from the WOW.Com Content Network
In physical terms, a spinor should determine a probability amplitude for the quantum state. A manner of regarding the product ψ ϕ as a vector. This is an essential feature of Dirac's theory, which ties the spinor formalism to the geometry of physical space. A manner of regarding a spinor as acting upon a vector, by an expression such as ψv ψ.
In quantum field theory, the Dirac spinor is the spinor that describes all known fundamental particles that are fermions, with the possible exception of neutrinos.It appears in the plane-wave solution to the Dirac equation, and is a certain combination of two Weyl spinors, specifically, a bispinor that transforms "spinorially" under the action of the Lorentz group.
A pure spinor is defined to be any element () that is annihilated by a maximal isotropic subspace with respect to the scalar product . Conversely, given a maximal isotropic subspace it is possible to determine the pure spinor that annihilates it, up to multiplication by a complex number, as follows.
Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more
A spinor bundle of E is a prescription for consistently associating a spin representation to every point of M. There are topological obstructions to being able to do it, and consequently, a given bundle E may not admit any spinor bundle. In case it does, one says that the bundle E is spin.
the system is equivalent to solving X = 2 ξ t ξ C for the undetermined spinor ξ. A fortiori, if the roles of ξ and x are now reversed, the form Q(ξ) = x defines, for each spinor ξ, a vector x quadratically in the components of ξ. If this quadratic form is polarized, it determines a bilinear vector-valued form on spinors Q(μ, ξ). This ...
The study of spinor condensates was initiated in 1998 by experimental groups at JILA [3] and MIT. [4] These experiments utilised 23 Na and 87 Rb atoms, respectively. In contrast to most prior experiments on ultracold gases, these experiments utilised a purely optical trap, which is spin-insensitive.
A Killing spinor on a Riemannian spin manifold M is a spinor field ...