摘要：Non-hermiticity presents a vast newly opened territory that harbors new physics and applications such as lasing and ***,only non-Hermitian systems with real eigenenergies are stable,and great efforts have been devoted in designing them through enforcing parity-time(PT)*** this work,we exploit a lesser-known dynamical mechanism for enforcing real-spectra,and develop a comprehensive and versatile approach for designing new classes of parent Hamiltonians with real *** design approach is based on a new electrostatics analogy for modifed non-Hermitian bulk-boundary correspondence,where electrostatic charge corresponds to density of states and electric felds correspond to complex spectral *** such,Hamiltonians of any desired spectra and state localization profle can be reverse-engineered,particularly those without any guiding symmetry *** recasting the diagonalization of non-Hermitian Hamiltonians as a Poisson boundary value problem,our electrostatics analogy also transcends the gain/loss-induced compounding of foating-point errors in traditional numerical methods,thereby allowing access to far larger system sizes.

摘要：本文主要探讨回鹘和十世纪敦煌之间的文化联系。甘州回鹘女性供养人(统治阶层的妻室)被绘制在敦煌一些大型洞窟中,且尺寸较大。学者认为敦煌汉族统治者与甘州回鹘可汗之女的婚姻对于新的汉-回鹘统治阶层的形成起到了促进作用。本文将对出自敦煌的绘画和草图进行认真辨识,重点关注新的颜色的出现以及装饰技术的应用,如金箔的应用、人物的图像(服饰、面部特征、偏好)。得出以下结论:甘州回鹘女性供养人对于10世纪敦煌艺术的形成起到了重要作用,回鹘对敦煌的影响在11世纪一直持续。