Avoided level crossings in the quantization of a mixed regular-chaotic system

The study of avoided level crossings in the spectra of quantum Hamiltonians whose classical counterparts exhibit mixed regular-chaotic dynamics reveals important information about the quantum signatures of such dynamics. Among other topics, one can study delocalization phenomena and exchange of structure in Husimi distributions and compare the quantum dynamics one observes to the dynamics of corresponding classical systems at the same parameter values

Creating Inclusive Practices Through a Culture of Caring in School Leadership: A Principal’s Perspective

Elementary educational research and practice have relied heavily on academic success and achievement based on standardized test scores, sometimes to the exclusion of other vital aspects of education, preparing each student to reach their full potential mentally, physically, socially, and emotionally. This dissertation posits that the leaders of schools must establish a caring culture to create positive outcomes in teacher satisfaction, student attendance, and student performance. It further explains that we must look at the leadership to determine their qualities and characteristics for this to be possible. This dissertation presents the role a Culture of Caring plays in a diverse elementary school in a high-poverty, urban, suburban, and rural area in a southern state in the United States. It also describes the leadership knowledge, skills, dispositions, and critical attributes needed to create a positive climate and culture shift in a school. The school leader implemented a pilot program to explore the Culture of Care theory of practice that utilizes a social-emotional approach for school improvement to promote positive outcomes. The premise is that if the leadership of a school or organization intentionally models a Culture of Caring by showing genuine interest in individuals and their work, this will improve their academic performance over time and improve many aspects of their school, including teacher morale and student attendance. A caring act, by definition, is a non-verbal or verbal gesture that displays a genuine interest in another person’s social, emotional, mental, and physical well-being, simultaneously recognizing race, culture, and socio-economic status as part of one’s identity. Creating a caring culture involves respecting, valuing, and embracing the person’s culture with a nonjudgmental and value-based perspective. The Culture of Caring leadership model promotes caring across the school, then becomes contagious and spreads to the teachers and students, creating a more successful. This retrospective autoethnography describes and brings meaning to school reform efforts within one school site, Sunrise Elementary School (pseudonym), located in a diverse and high-poverty area of a medium-sized town in the southern United States as described through the journal entries, agendas, interviews, and notes, and trials, of one school principal. This thesis describes the daily struggles of the principal and her leadership team to understand their roles at the school to ensure that all children within the school receive the best educational experience possible. This thesis also argues that one way of representing this complex network of school improvement efforts is to look at all decisions through a lens of caring

Beyond wild walls there is algebraicity and exponential growth (of BPS indices)

textThe BPS spectrum of pure SU(3) four-dimensional super Yang-Mills with N=2 supersymmetry (a theory of class S(A)) exhibits a surprising phenomenon: there are regions of the Coulomb branch where the growth of BPS-indices with the charge is exponential. We show this using spectral networks and, independently, using wall-crossing formulae and quiver methods. The technique using spectral networks hints at a general property dubbed "algebraicity": generating series for BPS-indices in theories of class S(A) (a class of N=2 four-dimensional field theories) are secretly algebraic functions over the rational numbers. Kontsevich and Soibelman have an independent understanding of algebraicity using indirect techniques, however, spectral networks give a distinct reason for algebraicity with the advantage of providing explicit algebraic equations obeyed by generating series; along these lines, we provide a novel example of such an algebraic equation, and explore some relationships to Euler characteristics of Kronecker quiver stable moduli. We conclude by proving that exponential asymptotic growth is a corollary of algebraicity, leading to the slogan "there are either finitely many BPS indices or exponentially many" (in theories of class S(A)).Physic

Coping With Powerlessness: The Relationship of Sex and Job Dependency to Empowerment Strategy Usage

A critical-incident interviewing method was used to determine the strategies employed by men and women in organizational situations. Ninety-eight male and female participants provided an example of a frustrating workplace situation in which they were powerless because they were dependent on others and the action they took in response to the situation. Measures of job dependency, taken as a measure of relative power for each job, were also assessed. Chi-square, correlational, and log-linear results indicated that while men and women did not differ in the relative power of the jobs they held, women tended to use an acquiescence strategy to a greater extent than men in coping with their powerlessness. When examined, relative job dependency, however, had a greater effect than gender on the use of this strategy

The expectations and aspirations of a late-career professional woman

NoThis article presents a powerful account of one late-career woman's lived experiences. Little is known about women who continue professional careers into their 50s and beyond. Here insights are offered into her aspirations and expectations, as she reflects upon a career fragmented by gendered caring responsibilities and the implications of ageism and sexism together with health and body for her late-career phase. The narrative enhances understanding of the intersection of age and gender in a context where masculine career norms dominate. It also offers a reflection upon the implications of these themes for late-career women and their employing organizations more generally