J=0, J=J_{max} and quadrupole pairing

We consider 2 neutrons and 2 protons in the g_{9/2} shell.Wave functions and energy levels are obtained for various interactions. The wave functions for states with total angular momentum I greater or equal to 10 are not affected by what the pairing interacton (J=0 T=1) is.Other parts of the interaction are therefore of increased importance

On the group of zero-cycles of holomorphic symplectic varieties

For a moduli space of Bridgeland-stable objects on a K3 surface, we show that the Chow class of a point is determined by the Chern class of the corresponding object on the surface. This establishes a conjecture of Junliang Shen, Qizheng Yin, and the second author

Describing Shen & Shen Ming Via a Hybrid Quantum Computational Model

Definitions for Traditional Chinese Medicine (TCM) terminology within the context of quantum biology (QB) have recently been proposed. These definitions aim to elucidate concepts such as qi meridians in TCM. Our study presents a hypothesis that seeks to provide an operational definition for Spirit (Shen) and Bright Spirit (Shen Ming) in TCM via a scoping review. We propose that Shen represents physical, phenomenological proto-consciousness/consciousness in the forms of computation, such as singular particles/bits/qubits, computers, organisms, or computational strategies, whereas Shen Ming may refer to emergent, quasi-physical meta-proto-consciousness/consciousness formed by coherent relationships of multiple orchestrated/integrated units of computation; manifesting itself as integrations of multiple bits, qubits, computers, organisms, or strategies. We posit that multi-computational strategies are likely utilized within QB systems, which we operationally define as hybrid quantum computation (HQC). The primary objective of this scoping review is to comprehensively discuss a hypothetical structure of HQC in QB systems, thereby offering a validation of TCM terms such as Shen and Shen Ming from several ontological perspectives. Additionally, our research hypothesizes that aspects of Shen and Shen Ming could be partially characterized by Fault Tolerant Topological Quantum Computation (FTTQC) in QB systems, which involves the utilization of exotic particles known as anyons

Effect of Spin Gap on Single-Hole Excitation Spectrum in the One-Dimensional t-J-J'Model

We examine the effect of spin gap on single-hole spectral function in the one-dimensional t-J-J'model. At J'/J=1/2, where a dimer state is the ground state, an analytic expression is derived for J/t \to 0. At finite values of J/t, the numerical diagonalizations for finite-size clusters are performed. In contrast to the gapless case, we find that (i) the dispersion becomes symmetric around k=\pi/2, (ii) the singularity of the holon band is strongly suppressed, and (iii) the quasi-particle weight Z_{h} becomes finite at finite J/t. The feature (iii) is related to the presence of a bound state of the doped hole and an unpaired spin.Comment: 3 pages, 4 figures, LaTeX, Proceedings of the International Conference on Spectroscopy of Novel Superconductors. To be published in Journal of Phys. and Chem. of Solid

Computing stress intensity factors for curvilinear fractures

Computing stress intensity factors around curvilinear fractures from numerical approximations of the elastic fields could be said to be still a largely open problem in computational fracture mechanics. Existing methods fail to provide a convergent rate \u3e0.5, if at all. In this study, I will describe a new formulation of interaction integrals for curvilinear cracks that enable us to compute stress intensity factors around curved fractures with first and second order convergence rates, depending on the accuracy of the approximation used for the elastic fields. We verify the proposed methods through several examples including the benchmark of the circular arc crack problem as well as body force and crack face loaded problems, for which we construct analytical solutions. We further validate and showcase the robustness of the method for the simulation of curvilinear crack propagation [1] where the proposed numerical tools allow for the convergent computation of crack paths in complex fracturing problems. This study is a collaboration with Yongxing Shen, Leon Keer, and Maurizio Chiaramonte. REFERENCE [1] Rangarajan R., Chiaramonte M.M., Shen Y., Hunsweck M.J., Lew A.J. Simulating curvilinear crack propagation with universal meshes. Int. J Numer Meth Engng. (in press)

On Shen Jiaben’s View of Law: An Investigation of Human Rights

During the late Qing Dynasty, the switch from conventional legislation to contemporary legislation was exemplified by Shen Jiaben’s human rights-focused legal perspective. Under the background of comprehensively governing the country according to law, learning from excellent traditional legal thoughts and culture is a critical way to construct a creative rule of law. Shen Jiaben oversaw the ten years of legislation modification towards the conclusion of the Qing Dynasty, which lasted the entirety of modern China. He transformed traditional Chinese law into a Western-compatible contemporary legal framework, closely related to his excellent legal thoughts. Specifically, Shen Jiaben pushed for preserving human rights in the research and creation of the legal system in contemporary China. His reasoning was based on the actual situations of modern countries, which is quite pioneering. Focusing on the social reality at that time, Shen Jiaben’s legal thought of human rights doctrine criticized and inherited the traditional Chinese legal thought of “benevolent government” while fully absorbing the essence of foreign legal culture of human rights doctrine and promoting the gradual reform of the modern legal system. Learning from Shen Jiaben’s legal view of the rights of individuals doctrine is helpful to deepen further our understanding of human rights and the rule of law in the new era and help promote the integrated construction of a country, a government, and a society under the rule of law