Quantum-classical correspondence of the Dirac matrices: The Dirac Lagrangian as a Total Derivative

Details Quantum-classical correspondence of the Dirac matrices: The Dirac Lagrangian as a Total Derivative Quantum-classical correspondence of the Dirac matrices: The Dirac Lagrangian as a Total Derivative

2009-05-28

arxiv.org/abs/0905.4741v1

Physics

Quantum Physics

Scientific paper

The Dirac equation provides a description of spin 1/2 particles, consistent with both the principles of quantum mechanics and of special relativity. Often its presentation to students is based on mathematical propositions that may hide the physical meaning of its contents. Here we show that Dirac spinors provide the quantum description of two unit classical vectors: one whose components are the speed of an elementary particle and the rate of change of its proper time and a second vector which fixes the velocity direction. In this context both the spin degree of freedom and antiparticles can be understood from the rotation symmetry of these unit vectors. Within this approach the Dirac Lagrangian acquires a direct physical meaning as the quantum operator describing the total time-derivative.

Affiliated with

Also associated with

No associations

Rating

Quantum-classical correspondence of the Dirac matrices: The Dirac Lagrangian as a Total Derivative 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 Quantum-classical correspondence of the Dirac matrices: The Dirac Lagrangian as a Total Derivative, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum-classical correspondence of the Dirac matrices: The Dirac Lagrangian as a Total Derivative will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526603