Phase space spinor amplitudes for spin 1/2 systems

Details Phase space spinor amplitudes for spin 1/2 systems Phase space spinor amplitudes for spin 1/2 systems

2010-10-18

arxiv.org/abs/1010.3522v2

Physics

Quantum Physics

19 pages, added new results, fixed typos

Scientific paper

The concept of phase space amplitudes for systems with continuous degrees of freedom is generalized to finite-dimensional spin systems. Complex amplitudes are obtained on both a sphere and a finite lattice, in each case enabling a more fundamental description of pure spin states than that previously given by Wigner functions. In each case the Wigner function can be expressed as the star product of the amplitude and its conjugate, so providing a generalized Born interpretation of amplitudes that emphasizes their more fundamental status. The ordinary product of the amplitude and its conjugate produces a (generalized) spin Husimi function. The case of spin-$\half$ is treated in detail, and it is shown that phase space amplitudes on the sphere transform correctly as spinors under under rotations, despite their expression in terms of spherical harmonics. Spin amplitudes on a lattice are also found to transform as spinors. Applications are given to the phase space description of state superposition, and to the evolution in phase space of the state of a spin-$\half$ magnetic dipole in a time-dependent magnetic field.

Affiliated with

Also associated with

No associations

Rating

Phase space spinor amplitudes for spin 1/2 systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Phase space spinor amplitudes for spin 1/2 systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase space spinor amplitudes for spin 1/2 systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-305620