Lamb shift in non-degenerate energy level systems placed between two infinite parallel conducting plates
نویسندگان
چکیده
In this paper, the Lamb shift in systems with non-degenerate energy levels, put in the electromagnetic environment provided by two infinite parallel conducting plates, is analyzed. An explicit formula giving the relative Lamb shift (as compared to the standard one in vacuum) is derived for spherical semiconductor Quantum Dots (QD), via a careful mathematical treatment of divergences in the calculations using the theory of distributions. This result settles a controversy between two different formulas existing in the current literature. Its sensitive dependence on the plates separation may be viewed as an indirect manifestation of the Lamb shift and may be used for the fine tuning of QD non-degenerate energy spectrum in some experimental contexts. PACS numbers : 12.20.Ds, 71.35.-y, 73.22.Dj
منابع مشابه
Casimir effect in external magnetic field
We compute the influence of an external magnetic field on the Casimir energy of a massive charged scalar field confined between two parallel infinite plates. For this case the obtained result shows that the magnetic field inhibits the Casimir effect. The Casimir effect can be generally defined as the effect of a non-trivial space topology on the vacuum fluctuations of relativistic quantum field...
متن کاملFinite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates
The importance of the slip flow over the no-slip condition is widely accepted in microscopic scaled domains with the direct impact on microfluidic and nanofluidic systems. The popular Navier Stoke’s (N-S) flow model is largely utilized with the slip flow phenomenon. In the present study, the finite integral transform scheme along with the shift of variables is implemented to solve the equation ...
متن کاملGeneralized Casimir Energies for Systems with Arbitrary (ǫ(z)) Planar Geometry
The Casimir force between parallel plates of arbitrary kind is shown to be simply related to the plates transmission and reflection coefficient. A trivial application of this general relation leads to known Lifshitz force between dielectrics as well as its generalizations. The simple two ideally conducting parallel plates Casimir force F = − π 240 h̄c a4 [1] recently been measured experimentally...
متن کاملEntropy Generation In an Unsteady MHD Channel Flow With Navier Slip and Asymmetric Convective Cooling
The combined effects of magnetic field, Navier slip and convective heating on the entropy generation in a flow of a viscous incompressible electrically conducting fluid between two infinite horizontal parallel plates under a constant pressure gradient have been examined. Both the lower and upper plates of the channel are subjected to asymmetric convective heat exchange with the ambient fluid. T...
متن کاملChemical Reaction Effects on Bio-Convection Nanofluid flow between two Parallel Plates in Rotating System with Variable Viscosity: A Numerical Study
In the present work, a mathematical model is developed and analyzed to study the influence of nanoparticle concentration through Brownian motion and thermophoresis diffusion. The governing system of PDEs is transformed into a coupled non-linear ODEs by using suitable variables. The converted equations are then solved by using robust shooting method with the help of MATLAB (bvp4c). The impacts o...
متن کامل