Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-28
Mod.Phys.Lett.A23:2177-2188,2008
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, no figure, Will appear in Mod. Phys. Lett A
Scientific paper
10.1142/S0217732308026315
We discuss Dirac equation (DE) and its solution in presence of solenoid (infinitely long) field in (3+1) dimensions. Starting with a very restricted domain for the Hamiltonian, we show that a 1-parameter family of self adjoint extensions (SAE) are necessary to make sure the correct evolution of the Dirac spinors. Within the extended domain bound state (BS) and scattering state (SS) solutions are obtained. We argue that the existence of bound state in such system is basically due the breaking of classical scaling symmetry by the quantization procedure. A remarkable effect of the scaling anomaly is that it puts an open bound on both sides of the Dirac sea, i.e., E\in(-M,M) for \nu^2[0,1)! We also study the issue of relationship between scattering state and bound state in the region \nu^2 \in[0,1) and recovered the bound state solution and eigenvalue from the scattering state solution.
No associations
LandOfFree
Dirac spinors in solenoidal field and self adjoint extensions of its Hamiltonian 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 Dirac spinors in solenoidal field and self adjoint extensions of its Hamiltonian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dirac spinors in solenoidal field and self adjoint extensions of its Hamiltonian will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-46630