Quantized Scalar Fields Under the Influence of Moving Mirrors and Anisotropic Curved Spacetime.

摘要

This thesis develops three main topics. First, the moving mirror model is examined where particle and energy creation occur for a minimally coupled, quantized massless scalar field. New exactly solvable trajectories are introduced such that the Bogolubov transformation coefficients are found and energy flux is calculated. The integrated solutions are verified on the past and future hypersurfaces using a split-mode technique. The time-dependent acceleration responsible for thermal radiation is revealed.;The second main part involves calculations of spectral time evolution analysis of those trajectory solutions which are asymptotically inertial and unitary by construction. Quanta summing, energy flux integration and energy packet summations are compared and verified.;The third main piece involves renormalization counterterms for the field fluctuations and energy density terms in curved spacetime using a quantized scalar field with arbitrary mass and general curvature coupling. Adiabatic regularization is used to generate the counterterms for ⟨&phgr; 2⟩ and the energy density in a general Bianchi Type I anisotropic spacetime. The results are verified in both the isotropic and conformal coupling limits.