关于Hom-双代数扭曲子的注记

本文研究并刻画了Hom-双代数的扭曲子的性质,以之构造了一类新的张量型Hom-双代数和双代数,从而验证了Hom-双代数与张量型Hom-双代数是扭曲等价的。

广义扭曲双代数

引入了余代数上余扭曲子的概念,利用余扭曲子构造了余代数上一种新的余代数结构,同时给出了一个双代数上的扭曲代数结构和扭曲余代数结构构成双代数的充分条件.

广义余扭曲余代数的性质

利用对偶的思想,由广义扭曲代数的性质给出了广义余扭曲余代数的一些相关性质.

广义余扭曲余代数的性质

研究了广义余扭曲余代数,给出了广义余扭曲余代数的性质.

Oriented quantum coalgebra structure on the tensor product of an oriented quantum coalgebra with itself

Oriented quantum algebras （coalgebras） are generalizations of quasitriangular Hopf algebras （coquasitriangular Hopf algebras） and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and links. Let （H, or, D, U） be an oriented quantum coalgebra over the field k. Then （H×H, φ, D×D, U× U） is a trivial oriented quantum coalgebra structure on the tensor product of coalgebra H with itself, where φ （a × b, c × d） = σ-（ a, c）σ （b, d）. This paper presents the oriented quantum coalgebra structure （ H×H, σ, D×D, U× U） on coalgebra H× H, where σ（ a × b, c× d） = σ ^-1 （ d1, a1 ） σ（ a2, c1 ） σ^-1 （ d2, b1 ） σ（ b2, c2 ）. So a nontrivial oriented quantum coalgebra structure is obtained and it is dual to Radford＇s results in the paper ＂On the tensor product of an oriented quantum algebra with itself＂ published in 2007. Theoretically, the results of this paper are important in constructing the invariants of oriented knots and links.

广义伪余扭曲余代数

研究了余扭曲子的性质,并给出余扭曲子的推广形式-伪余扭曲子,进而给出了伪余扭曲子上的广义伪余扭曲余代数.

Realization of Vertex Operators of 7-Twisted Affine Lie Algebra ■[θ]

In this paper, we construct a new algebra structure 7-twisted atone Lie algebra sl（3,C）[θ] and study its vertex operator representations.

Electron Momentum Spectroscopy Study on Inner Orbitals of Methyl iodide

The binding energy spectrum and electron momentum profiles of the inner orbitals of methyl iodide have been measured using an electron momentum spectrometer at the impact energy of 1200 e V plus binding energy.Two peaks in the binding energy spectrum,arising from the spin-orbit splitting,are observed and the corresponding electron momentum profiles are obtained.Relativistic density functional calculations are performed to elucidate the experimental electron momentum profiles of two spin-orbit splitting components,showing agreement with each other except for the intensity in low momentum region.The measured high intensity in the low momentum region can be further explained by the distorted wave calculation.

Electron Momentum Spectroscopy of Valence Orbitals of Cyclopentene:Nuclear Dynamics and Distorted Wave Effect

We report a measurement of electron momentum distributions of valence orbitals of cyclopentene employing symmetric noncoplanar(e,2e)kinematics at impact energies of 1200 and 1600 eV plus the binding energy.Experimental momentum profiles for individual ionization bands are obtained and compared with theoretical calculations considering nuclear dynamics by harmonic analytical quantum mechanical and thermal sampling molecular dynamics approaches.The results demonstrate that molecular vibrational motions including ring-puckering of this flexible cyclic molecule have obvious influences on the electron momentum profiles for the outer valence orbitals,especially in the low momentum region.Forπ^(*)-like molecular orbitals 3a′′,2a′′,and 3a′,the impact-energy dependence of the experimental momentum profiles indicates a distorted wave effect.

超对称Bullough-Dodd模型的prolongation分析

在扭曲仿射代数 A(2 )2 上建立了超对称的 Bullough-Dodd模型 .Prolongation方法的研究表明 ,该模型承认一个 Lax pair,从 Lax意义上证明该模型可积 .另外 ,当该超对称模型的所有费米量为零时 ,该系统就定义了一个新奇的由单标量玻色场指数相互作用构成的可积模型 .这个发现还打破了长久以来的一种认识 :只有 sinh-Gordon和标准Bullough-Dodd模型是 Liouville模型 .

The Distortion of Historic Memory in the Literary Memory of Social Realism

This study endeavours to assess the deliberate distortion of historical memory in two works written in different periods of time by the same author, namely Vedat Kokona with the novel Me Valet e let,s （With the Waves of Life） published in the 1960s, as well as his own autobiography Endur ne Tisin e Kohes （Woven in the Veil of Time）, which was written and published after the 1990s. The novel was written under the censorship conditions of social realism, and consequently the stance toward historical war figures was shaped by the ideological prism： ＂Enver Hoxha leads the war, opponents like Lumo Skendo collaborate with the enemy, and the indifferent intelligentsia must feel blameworthy for their non-engagement with the communists＂. This scheme apparently collapses after the 1990s, when Kokona took it upon himself to narrate his autobiography, in the abridgment entitled Woven in the Veil of Time. Therein is revealed his realistic assessment of the figures of Enver Hoxha, Lumo Skendo, Ernest Koliqi, etc. Freed at the time from the chains of ideological censure, in his memoirs, Kokona discusses these historical characters. Supplied with individual human sensitivity, facing good and evil, he reflects upon the past, with the consciousness of the intellectual who has witnessed an era permeated with major changes.

Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra

The compatible left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra with some natural grading conditions are completely determined. The results of the earlier work on left-symmetric algebra structures on the Virasoro algebra play an essential role in determining these compatible structures. As a corollary, any such left-symmetric algebra contains an infinite-dimensional nontrivial subalgebra that is also a submodu]e of the regular module.

Quantum twisted double-slits experiments:confirming wavefunctions'physical reality

Are quantum states real? This most fundamental question in quantum mechanics has not yet been satisfactorily resolved, although its realistic interpretation seems to have been rejected by various delayedchoice experiments. Here, to address this long-standing issue, we present a quantum twisted double-slit experiment. By exploiting the subluminal feature of twisted photons, the real nature of a photon during its time in flight is revealed for the first time. We found that photons' arrival times were inconsistent with the states obtained in measurements but agreed with the states during propagation. Our results demonstrate that wavefunctions describe the realistic existence and evolution of quantum entities rather than a pure mathematical abstraction providing a probability list of measurement outcomes. This finding clarifies the long-held misunderstanding of the role of wavefunctions and their collapse in the evolution of quantum entities.

Strain- and twist-engineered optical absorption of few-layer black phosphorus

Density functional and many-body perturbation theories calculations were carried out to investigate fundamental and optical bandgap, exciton binding energy and optical absorption property of normal and strain- and twist-engineered few-layer black phosphorus （BP）. We found that the fundamental bandgaps of few layer BP can be engineered by layer stacking and in-plane strain, with linear relationships to their associated exciton binding energies. The strain-dependent optical absorption behaviors are also anisotropic that the position of the first absorption peak monotonically blue-shifts as the strain applies to either direction for incident light polarized along the armchair direction, but this is not the case for that along the zigzag direction. Given those striking properties, we proposed two prototype devices for building potentially more balanced light absorbers and light filter passes, which promotes further applications and investigations of BP in nanoelectronics and optoelectronics.

Convergence of Yang-Mills-Higgs flow for twist Higgs pairs on Riemann surfaces

We consider the gradient flow of the Yang-Mills-Higgs functional of twist Higgs pairs on a Hermitian vector bundle(E,H)over Riemann surface X.It is already known the gradient flow with initial data(A0,φ0)converges to a critical point(A∞,φ∞).Using a modified Chern-Weil type inequality,we prove that the limiting twist Higgs bundle(E,d′′A∞,φ∞)coincides with the graded twist Higgs bundle defined by the HarderNarasimhan-Seshadri filtration of the initial twist Higgs bundle(E,d′′A0,φ0),generalizing Wilkin’s results for untwist Higgs bundle.

Bimodule and twisted representation of vertex operator algebras

In this paper, for a vertex operator algebra V with an automorphism g of order T, an admissible V-module M and a fixed nonnegative rational number n ∈1/T Z_+, we construct an A_(g,n)(V)-bimodule Ag,n(M) and study its properties, discuss the connections between bimodule A_(g,n)(M) and intertwining operators. Especially, bimodule A _(g,n)-1T(M) is a natural quotient of A_(g,n)(M) and there is a linear isomorphism between the space IM^k M Mjof intertwining operators and the space of homomorphisms HomA_(g,n)(V)(A_(g,n)(M) A_(g,n)(V)M^j(s), M^k(t)) for s, t ≤ n, M^j, M^k are g-twisted V modules, if V is g-rational.

Determination of astrophysical ^7Be（p, γ）8B reaction rates from the ^7Li（d, p）^8Li reaction

The ^7Be（p, γ）8B reaction plays a central role not only in the evaluation of solar neutrino fluxes but also in the evolution of the first stars. Study of this reaction requires the asymptotic normalization coefficient （ANC） for the virtual decay ^8Bg.s. → ^7Be ＋ p. By using the charge symmetry relation, we obtain this proton ANC with the single neutron ANC of ^8Lig.s.→^7Li ＋ n, which is determined with the distorted wave Born approximation （DWBA） and adiabatic distorted wave approximation （ADWA） analysis of the ^7Li（d, p）^8Li angular distribution. The astrophysical S-factors and reaction rates of the direct capture process in the 7Be（p, y）SB reaction are further deduced at energies of astrophysical relevance. The astrophysical S-factor at zero energy for direct capture, S 17（0）, is derived to be （19.9 ± 3.5） eV b in good agreement with the most recent recommended value. The contributions of the 1 ^＋ and 3^＋ resonances to the S-factor and reaction rate are also evaluated. The present result demonstrates that the direct capture dominates the ^7Be（p, γ）8B reaction in the whole temperature range. This work provides an independent examination to the current results of the ^7Be（p, γ）8B reaction.