Fundamental dynamical equations for spinor wave functions. I. Levy-Leblond and Schrodinger equations

Details Fundamental dynamical equations for spinor wave functions. I. Levy-Leblond and Schrodinger equations Fundamental dynamical equations for spinor wave functions. I. Levy-Leblond and Schrodinger equations

2012-01-13

arxiv.org/abs/1201.2848v1

Physics

Mathematical Physics

17 pages

Scientific paper

A search for fundamental (Galilean invariant) dynamical equations for two and four-component spinor wave functions is conducted in Galilean space-time. A dynamical equation is considered as fundamental if it is invariant under the symmetry operators of the group of the Galilei metric and if its state functions transform like the irreducible representations of the group of the metric. It is shown that there are no Galilean invariant equations for two-component spinor wave functions. A method to derive the L\'evy-Leblond equation for a four-component spinor wave function is presented. It is formally proved that the L\'evy-Leblond and Schr\"odinger equations are the only Galilean invariant four-component spinor equations that can be obtained with the Schr\"odinger phase factor. Physical implications of the obtained results and their relationships to the Pauli-Schr\"odinger equation are discussed.

Affiliated with

Also associated with

No associations

Rating

Fundamental dynamical equations for spinor wave functions. I. Levy-Leblond and Schrodinger equations 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 Fundamental dynamical equations for spinor wave functions. I. Levy-Leblond and Schrodinger equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fundamental dynamical equations for spinor wave functions. I. Levy-Leblond and Schrodinger equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-471744