Physics – Quantum Physics
Scientific paper
2010-02-24
Physics
Quantum Physics
8 pages
Scientific paper
The quantum-mechanical problem of constructing a self-adjoint Hamiltonian for the Dirac equation in an Aharonov--Bohm field in 2+1 dimensions is solved with taking into account the fermion spin. The one-parameter family of self-adjoint extensions is found for the above Dirac Hamiltonian with particle spin. The correct domain of the self-adjoint Hamiltonian extension selecting by means of acceptable boundary conditions can contain regular and singular (at the point ${\bf r}=0$) square-integrable functions on the half-line with measure $rdr$. We argue that the physical reason of the existence of singular solutions is the additional attractive potential, which appear due to the interaction between the spin magnetic moment of fermion and Aharonov--Bohm magnetic field. For some range of parameters there are bound fermionic states. It is shown that fermion (particle and antiparticle) states with zero energy are intersected what signals on the instability of quantum system and the possibility of a fermion-antifermion pair creation by the static external field.
No associations
LandOfFree
Zero-energy states of fermions in the field of Aharonov--Bohm type in 2+1 dimensions 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 Zero-energy states of fermions in the field of Aharonov--Bohm type in 2+1 dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero-energy states of fermions in the field of Aharonov--Bohm type in 2+1 dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-260569