Examples of 'spinors' in a sentence
Meaning of "spinors"
spinors (noun): In mathematics and physics, spinors are mathematical objects that transform in a specific way under rotations
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- plural of spinor
How to use "spinors" in a sentence
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spinors
Spinors find several important applications in relativity.
Not all spinors are pure.
These complex rotations are important in the context of spinors.
Recently pure spinors have attracted attention in string theory.
Elements of a spin representation are called spinors.
Spinors and projective geometry.
These are considered in more detail in spinors in three dimensions.
Spinors can always be defined over the complex numbers.
These proofs were given in terms of spinors.
An introductory chapter on spinors near the end is also given.
These column vectors are the spinors.
The spinors are the column vectors on which these matrices act.
This property characterizes spinors.
A space of spinors can be constructed explicitly with concrete and abstract constructions.
The supercharges occur in spinors.
See also
A promising result is discovered when spinors are used as features instead of angular velocities.
For examples over the reals see the article on spinors.
Spinors are characterized by the specific way in which they behave under rotations.
See the section spinors.
What characterizes spinors and distinguishes them from geometric vectors and other tensors is subtle.
This included spinors.
Spinors and projectors arise naturally and provide powerful tools for solving problems in classical electrodynamics.
The modular group acts on the collection of all integer spinors.
Spinors are elements of a vector subspace of some Clifford algebra.
We now turn to the action of the orthogonal group on the spinors.
The dimension of the Dirac spinors doubles as we go to each new.
The space on which the gamma matrices act is a now a space of spinors.
These spinors transform under Lorentz transformations according to the law.
This means that any state can be written as a linear combination of the basis spinors.
Under parity transformation the Weyl spinors transform into each other.
This action is a representation of the action of the Clifford algebra on spinors.
Dirac and Weyl spinors are complex representations while Majorana spinors are real representations.
Solutions to the Dirac equation for spinor fields are often called harmonic spinors.
From Spinors to Quantum Mechanics discusses group theory and its use in quantum mechanics.
Sparling explains spinors in the following way,.
The states of the particles are represented as two-component spinors.
Spinors actually exhibit a sign-reversal that genuinely depends on this homotopy class.
Thus the representation of plane rotations on spinors is two-valued.
Because the properties of spinors change drastically between different dimensions, each dimension has its characteristic.
This will be the spin representation, and its elements will be referred to as spinors.
They transform as Majorana-Weyl spinors under Lorentz transformations.
It is sometimes also called the pure spinor bundle, as its sections are pure spinors.
It is worth reviewing how spinor space and Weyl spinors are constructed, given this formalism.
Main articles, Spinors in three dimensions and Quaternions and spatial rotation.
There are at least two different, but essentially equivalent, ways to define spinors abstractly.
This property characterizes spinors, spinors can be viewed as the " square roots " of vectors.
Furthermore, the group is transitive on the collection of integer spinors with relatively prime entries.
Roger Penrose and Wolfgang Rindler, Spinors and space-time, volume I, two-spinor calculus and relativistic fields.
In four dimensions there are three distinct irreducible 4-component spinors.
Finally, if the are spinors see Cha.
