# Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential

Davide Fermi, Livio Pizzocchero
May 07, 2015
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.

Keywords:
Zeta regularization, Casimir effect