535 research outputs found
Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential
Applying the general framework for local zeta regularization proposed in Part
I of this series of papers, we renormalize the vacuum expectation value of the
stress-energy tensor (and of the total energy) for a scalar field in presence
of an external harmonic potential.Comment: Some overlaps with our works arXiv:1104.4330, arXiv:1505.00711,
arXiv:1505.01044, arXiv:1505.03276. These overlaps aim to make the present
paper self-contained, and do not involve the main result
Spectral properties of a short-range impurity in a quantum dot
The spectral properties of the quantum mechanical system consisting of a
quantum dot with a short-range attractive impurity inside the dot are
investigated in the zero-range limit. The Green function of the system is
obtained in an explicit form. In the case of a spherically symmetric quantum
dot, the dependence of the spectrum on the impurity position and the strength
of the impurity potential is analyzed in detail. It is proven that the
confinement potential of the dot can be recovered from the spectroscopy data.
The consequences of the hidden symmetry breaking by the impurity are
considered. The effect of the positional disorder is studied.Comment: 30 pages, 6 figures, Late
- …