The heat kernel expansion for the electromagnetic field in a cavity

We derive the first six coefficients of the heat kernel expansion for the electromagnetic field in a cavity by relating it to the expansion for the Laplace operator acting on forms. As an application we verify that the electromagnetic Casimir energy is finite.Comment: 12 page

On one photon scattering in non-relativistic qed

We consider scattering of a single photon by an atom or a molecule in the framework of non relativistic qed, and we express the scattering matrix for one photon scattering as a boundary value of the resolvent.Comment: 16 page

LEADERSHIP DEVELOPMENT IN CONTEXT: A DESCRIPTIVE MIXED METHOD STUDY OF LEADERSHIP DEVELOPMENT ACTIVITIES DURING SIGNIFICANT ORGANIZATIONAL CHANGE

This study explores the extent to which organizational culture and operational environment influence the leadership activities of an organization in the midst of significant organizational change and whether culture drives leadership development or vice versa. After exploring several different leadership theories, the study focuses on the concepts of transformational leadership as the theoretical foundations for the leadership component of the research. Likewise, the study builds on organizational theory and sociological foundations to focus on the work of Schein and Hatch for organizational culture, and Schneider for key concepts used in the development of person-organization fit. The research in this study concentrated on the manufacturing organization of a large, well-known company based in the US. This organization is in the midst of considerable organizational change in response to upheavals in its markets, its technology, and its manufacturing strategy. Research was conducted through collection of data from public sources, review of internal organization documents, a survey of perceptions of the organizational culture held by the staff, and detailed interviews with a cross section of the professional and managerial staff involved in the leadership development process. The results of the research and analysis showed that despite strong efforts by executive leadership and developing leadership at all levels to create a more compassionate organizational culture, the crisis facing the organization caused even the most committed and well-meaning individuals to revert to a cultural norm of a driven, results-oriented organizational culture. The interviews and survey data led to conclusions that culture change is a long term effort; that it requires executive leadership commitment, vision, and constant communication to reinforce the vision; and is best addressed through leadership development in the younger staff with less personal investment in the status quo

Impact Ionization and Hot-Electron Injection Derived Consistently from Boltzmann Transport

We develop a quantitative model of the impact-ionizationand hot-electron–injection processes in MOS devices from first principles. We begin by modeling hot-electron transport in the drain-to-channel depletion region using the spatially varying Boltzmann transport equation, and we analytically find a self consistent distribution function in a two step process. From the electron distribution function, we calculate the probabilities of impact ionization and hot-electron injection as functions of channel current, drain voltage, and floating-gate voltage. We compare our analytical model results to measurements in long-channel devices. The model simultaneously fits both the hot-electron- injection and impact-ionization data. These analytical results yield an energydependent impact-ionization collision rate that is consistent with numerically calculated collision rates reported in the literature

Induced mass in N=2 super Yang-Mills theories

The masses of the matter fields of N=2 Super-Yang-Mills theories can be defined as parameters of deformed supersymmetry transformations. The formulation used involves central charges for the matter fields. The explicit form of the deformed supersymmetry transformations and of the invariant Lagrangian in presence of the gauge supermultiplet are constructed. This works generalizes a former one, due to the same authors, which presented the free matter case.Comment: 15 pages, Late

Measurements of a Quantum Dot with an Impedance-Matching On-Chip LC Resonator at GHz Frequencies

We report the realization of a bonded-bridge on-chip superconducting coil and its use in impedance-matching a highly ohmic quantum dot (QD) to a $\rm{3~GHz}$ measurement setup. The coil, modeled as a lumped-element $LC$ resonator, is more compact and has a wider bandwidth than resonators based on coplanar transmission lines (e.g. $\lambda/4$ impedance transformers and stub tuners) at potentially better signal-to-noise ratios. In particular for measurements of radiation emitted by the device, such as shot noise, the 50$\times$ larger bandwidth reduces the time to acquire the spectral density. The resonance frequency, close to 3.25 GHz, is three times higher than that of the one previously reported wire-bonded coil. As a proof of principle, we fabricated an $LC$ circuit that achieves impedance-matching to a $\rm{\sim 15~k\Omega}$ load and validate it with a load defined by a carbon nanotube QD of which we measure the shot noise in the Coulomb blockade regime.Comment: 7 pages, 6 figure