Quantum Rings in Electromagnetic Fields

This is the author accepted manuscript. The final version is available from Springer via the DOI in this recordThis chapter is devoted to optical properties of so-called Aharonov-Bohm quantum rings (quantum rings pierced by a magnetic flux resulting in AharonovBohm oscillations of their electronic spectra) in external electromagnetic fields. It studies two problems. The first problem deals with a single-electron AharonovBohm quantum ring pierced by a magnetic flux and subjected to an in-plane (lateral) electric field. We predict magneto-oscillations of the ring electric dipole moment. These oscillations are accompanied by periodic changes in the selection rules for inter-level optical transitions in the ring allowing control of polarization properties of the associated terahertz radiation. The second problem treats a single-mode microcavity with an embedded Aharonov-Bohm quantum ring which is pierced by a magnetic flux and subjected to a lateral electric field. We show that external electric and magnetic fields provide additional means of control of the emission spectrum of the system. In particular, when the magnetic flux through the quantum ring is equal to a half-integer number of the magnetic flux quanta, a small change in the lateral electric field allows for tuning of the energy levels of the quantum ring into resonance with the microcavity mode, thus providing an efficient way to control the quantum ring-microcavity coupling strength. Emission spectra of the system are discussed for several combinations of the applied magnetic and electric fields

An institutional model of the term structure of interest rates.

Despite the accepted synthesis between the “real" and “monetary" economies, questions remain unanswered in the financial sector of the economy. Though these sectors were once considered separate, "real" or “value theory" methodology has dominated study of both areas. This thesis advances the proposition that the “financial sector” cannot be studied using the analytic tools of "value theory” alone. In particular, controversy continues concerning the relevance of the "expectations” hypothesis of the term structure of interest rates as opposed to the “institutional” hypothesis. Our thesis attempts a rigourous exposition of the “institutional” hypothesis. We describe how this hypothesis is a logical implication of the “balance effect”