Since a full description of a particle is the product \psi \chi, what's the relation between the spreading of the spatial factor \psi and of its spinor \chi?
How does one calculate the number of components a Dirac spinor in arbitrary dimensions? As far as I understand, the textbooks treat the four spacetime dimensions and here the spinor has four components because the gamma matrices must be 4x4 in nature to satisfy the required algebra. Now suppose...
A beam of particles with spin 1/2 are coming out of a polarizer and moving along the x-axis, the spin of the particles points in the positive y direction. A uniform magnetic field is turned on and off over a short distance compared with the wavelength of the particle beam. The field is given by...
I have trouble understanding the concept of spin (spin 1/2 in this case). In Introduction to Quantum Mechanics Griffiths states that "the generic spinor X can be expressed as a linear combination of [eigenvectors of the spin component Sx]
\chi = \frac{a+b}{\sqrt{2}}\chi^{(x)}_+ +...
\PsiHow to intepret the four components of the dirac spinor?
the volume integral of the \Psi^T*\Psi give the probability of finding the releativistic electron in a given volume of space but what exactly do the four
components really mean.
I have read in many Pop physics books that the 4...
I'm totally confused on the relationship between kets written
| \uparrow \rangle, | \downarrow \rangle
and
| \uparrow \uparrow \rangle, | \uparrow \downarrow \rangle | \downarrow \uparrow \rangle, | \downarrow \downarrow \rangle
(Problem) I have a system of two spin-1/2 particles...
I was just wondering what a two component spinor was.
Are they the pauli spin matrices? or are they use 2x1 vectors like the spin up and spin down vectors?
The following formula appears in P J Mulders's lecture notes
http://www.nat.vu.nl/~mulders/QFT-0E.pdf
{\cal C}~b(k,\lambda)~{\cal C}^{-1}~=~d(k,{\bar \lambda}) (8.18)
where {\cal C} is charge conjugation operator.
\lambda is helicity.
I don't know why there is {\bar {\lambda}} on the...
Please, how to complete the commutative diagram shown on the following attachment picture?
https://www.physicsforums.com/attachment.php?attachmentid=6121&d=1137568051"
Hi everyone, I've confused myself trying to understand Weyl spinors... here's my best attempt at well-posed questions: (by the way, a nice--if incomplete--reference on computations using Weyl spinors can be found http://www.courses.fas.harvard.edu/~phys253b/handouts/WeylFeynman.ps , from...
I'm a little bit confused about the difference between the spinor and vector representations of SU(N)--I guess I could start with asking how a spinor and a vector differ: is this only a matter of how they transform under Lorentz transformations?
Following up, the covariant derivative for a...
Hi,
I have heard, that a second rank tensor can always be decompose into a spin-2, a spin-1 and spin-0 part, being reducible. I want to pursue this further. Can anyone suggest me a nice reference for it?
TIA
Nikhil