Quasinormal mode theory for nanoscale electromagnetism informed by quantum surface response

Logarithmic perturbation theory for quasinormal modes

Logarithmic perturbation theory (LPT) is developed and applied to quasinormal modes (QNMs) in open systems. QNMs often do not form a complete set, so LPT is especially convenient because summation over a complete set of unperturbed states is not required. Attention is paid to potentials with exponential tails, and the example of a Pöschl-Teller potential is briefly discussed. A numerical method...

Solution of Electromagnetism Theory Problems

Maxwell equations are the basis of the theory of electromagnetic fields. In the stationary case they split into independent problems for electric and magnetic fields. For the electric field in conductive media electrical conductivity problem is formulated, and in insulators the problem of electrostatics is formulated. Equations for stationary problems are of elliptic type, whereas in general th...

Condensed Matter Theory Sector Quantum Dissipation at the Nanoscale

iii iv CONTENTS 4 Friction in Quantum-Classical Systems 67 Conclusion 77 A The Influence Functional 79 Introduction The study of dissipation is of great theoretical and technological importance. While physics often models a system as isolated, with all the relevant degrees of freedom accounted for, in most realistic cases the " interesting " part of the system is coupled to many external degree...

On the shell theory on the nanoscale with surface stresses

Basic Laws and Principles of Quantum Electromagnetism