A potential theory for the k-curvature equation

In this paper, we introduce a potential theory for the k-curvature equation, which can also be seen as a PDE approach to curvature measures. We assign a measure to a bounded, upper semicontinuous function which is strictly subharmonic with respect to the k-curvature operator, and establish the weak continuity of the measure

Promoting Children’s Creativity through Drama in Education

Under the background of economic globalization, human creativity and imagination are key resources in a world dominated by technological innovations. Creative talents have become the pressing needs of the country. Promoting children’s creativity has also been one of the research interests in school education. This thesis aims to research the relationship between Drama in Education and the cultivation of children’s creativity and explore the feasibility of promoting children’s creativity through DIE in English teaching. The study employs a qualitative method utilizing classroom observation method and interview method to examine the effectiveness of children’s creativity promotion in the practical English DIE class. The findings show that the main elements of drama in education are consistent with theories proposed by some of today’s best-known scholars in the area of creativity studies and the use of DIE for English teaching has helped stimulate children’s creativity.It is hoped that the findings of this thesis will have a significance in promoting children’s creativity through DIE and provide some inspiration for teachers and researchers

Spin-dependent Rotating Wigner Molecules in Quantum dots

The spin-dependent trial wave functions with rotational symmetry are introduced to describe rotating Wigner molecular states with spin degree of freedom in four- and five-electron quantum dots under magnetic fields. The functions are constructed with unrestricted Hartree-Fock orbits and projection technique in long-range interaction limit. They highly overlap with the exact-diagonalized ones and give the accurate energies in strong fields. The zero points, i.e. vortices of the functions have straightforward relations to the angular momenta of the states. The functions with different total spins automatically satisfy the angular momentum transition rules with the increase of magnetic fields and explicitly show magnetic couplings and characteristic oscillations with respect to the angular momenta. Based on the functions, it is demonstrated that the entanglement entropies of electrons depend on the z-component of total spin and rise with the increase of angular momenta