- #36
akhmeteli
- 805
- 38
I am afraid the equation of my work (the fourth-order Dirac equation) cannot be derived for the box potential, as electromagnetic field inside the box identically vanish, so the "transversality" condition (requiring that some component of electromagnetic field does not vanish identically) is not satisfied. One can criticize the fourth-order Dirac equation for failing to describe a free particle (or a particle in a box), but this does not seem to be a real problem, because if you have at least one charged particle in the Universe, you have electromagnetic field everywhere, and, however weak that field may be, one can derive the fourth-order Dirac equation.ftr said:akhmeteli , does your equation give a different answer/perspective on the problem of relativistic particle in a box. Thank you.
As for some new perspective... Let me note that the equation is of the fourth order, so one may be tempted to consider (for example, for some specific electromagnetic field) an analogy with elasticity equations.