Physics – Quantum Physics
Scientific paper
2000-01-11
Phys.Rev. A61 (2000) 022101
Physics
Quantum Physics
REVTeX, 14 pages, no figure
Scientific paper
10.1103/PhysRevA.61.022101
Neutral fermions of spin $\frac 12$ with magnetic moment can interact with electromagnetic fields through nonminimal coupling. The Dirac--Pauli equation for such a fermion coupled to a spherically symmetric or central electric field can be reduced to two simultaneous ordinary differential equations by separation of variables in spherical coordinates. For a wide variety of central electric fields, bound-state solutions of critical energy values can be found analytically. The degeneracy of these energy levels turns out to be numerably infinite. This reveals the possibility of condensing infinitely many fermions into a single energy level. For radially constant and radially linear electric fields, the system of ordinary differential equations can be completely solved, and all bound-state solutions are obtained in closed forms. The radially constant field supports scattering solutions as well. For radially linear fields, more energy levels (in addition to the critical one) are infinitely degenerate. The simultaneous presence of central magnetic and electric fields is discussed.
No associations
LandOfFree
Bound states of neutral particles in external electric fields 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 Bound states of neutral particles in external electric fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound states of neutral particles in external electric fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-365015