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The Heisenberg double of the quantum Euclidean group and its representations

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Science China Mathematics 2023年第8期66卷 1713-1736页

作者： Wen-qing tao School of Mathematical Science Yangzhou UniversityYangzhou 225002China

The Heisenberg double D_(q)(E_(2))of the quantum Euclidean group O_(q)(E_(2))is the smash product of O_(q)(E_(2))with its Hopf dual U_(q)(e_(2)).For the algebra D_(q)(E_(2)),explicit descriptions of its prime,primitive and maximal spectra are *** the prime factors of D_(q)(E_(2))are presented as generalized Weyl *** a result,we obtain that the algebra D_(q)(E_(2))has no finite-dimensional representations,and D_(q)(E_(2))cannot have a Hopf algebra *** automorphism groups of the quantum Euclidean group and its Heisenberg double are *** centralizers are explicitly described via generators and defining *** enables us to give a classification of simple weight modules and the so-called a-weight modules over the algebra D_(q)(E_(2)).

关键词： Heisenberg double quantum Euclidean group automorphism group prime ideal weight module

Divergent Solutions to the L^2-Supercritical NLS Equations qing guo

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Acta Mathematicae Applicatae Sinica 2016年第1期32卷 137-162页

作者： qing guo College of Science Minzu University of China

We investigate the nonlinear Schrdinger equation iut＋△u＋｜u｜^p-1u = 0 with 1＋4/N 〈 p 〈 1＋4/（N-2）（when N = 1,2,1 ＋4/N 〈 p 〈 ∞） in energy space H^1 and study the divergent property of infinite-variance and nonradial *** M（u）^（1-sc）/sc E（u）〈 M（Q）^（1-sc）/scE（Q） and ｜｜u0｜｜0^（1-sc）/sc ｜｜▽u0｜｜2 〉｜｜Q｜｜^（1-sc）/sc ｜▽Q｜｜2,then either u（t） blows up in finite forward time or u（t） exists globally for positive time and there exists a time sequence tn→ ＋∞ such that ｜｜ ▽u（tn）｜｜2 →＋∞.Here Q is the ground state solution of —（1 — sc）Q ＋ △Q ＋｜Q｜p-1Q = 0.A similar result holds for negative *** extend the result of the 3D cubic Schrodinger equation obtained by Holmer to the general mass-supercritical and energy-subcritical case.

关键词： nonlinear Schrdinger equation blow-up solution infinite variance mass-supercritical energy-subcritical

The Electron Transfer Reaction between ρ-Nitrobenzoates and β-N, N-Dimethylaminonaphthalene

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Chinese Chemical Letters 2003年第2期14卷 159-162页

作者： Yong Hui WANG Man Zhou ZHU tao LIU qing Xiang guo Department of Chemistry University of Science and Technology of ChinaHefei 230026

A few of p-nitrobenzoates were synthesized, and the electron transfer of them with b-N, N-dimethylaminonaphthalene (DMAN) in methanol solution was studied. Steady-state fluore-scence results showed the cyclodextrin moiety in p-nitrobenzoyl-b-cyclodextrin would block the electron transfer pathway from DMAN compared with other electron acceptors, thus, reduced the electron transfer efficiency.

关键词： Electron transfer β-cyclodextrin naphthalene derivatives fluorescence.

Multi-track Storage of 10000 Holograms in a Disk-Type Photorefractive Crystal

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Chinese Physics Letters 2000年第9期17卷 675-677页

作者： tao Shi-quan XU Min LIU guo-qing YUAN Quan JIANG Zhu-qing Applied Physics Department Beijing Polytechnic UniversityBeijing 100022

Three-dimensional disk-type holographic storage using spatioangular multiplexing with a spherical reference beam is analyzed and experimentally *** overlapping factors between adjacent holograms in a track and between adjacent tracks in a disk are determined based on the selective angles calculated by coupled-wave *** are 10000 holograms stored along 5 tracks in a sector of a single iron-doped lithium niobate crystal.

关键词： theory. holographic lithium

Research on light dark matter particle from evaporating primordial black hole in CDEX-10 experiment

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Science China(Physics,Mechanics & Astronomy) 2024年第10期67卷 168-169页

作者： qing-guo Huang School of Fundamental Physics and Mathematical Sciences Hangzhou Institute for Advanced StudyUCASHangzhou 310024China CAS Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China

Dark matter is an essential component of the universe,accounting for approximately 85%of all ***,what the nature of dark matter actually is remains a huge *** far,all evidence for the existence of dark matter has come from gravitational *** gravitational interactions are universal,it is challenging to reveal the nature of dark matter through gravitational *** unravel the mystery of dark matter,it is essential to directly detect dark matter.

关键词： approximate particle gravitational

Numerical Solution to Optimal Feedback Control by Dynamic Programming Approach:A Local Approximation Algorithm

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Journal of Systems Science & Complexity 2017年第4期30卷 782-802页

作者： guo Bao-Zhu WU tao-tao Academy of Mathematics and Systems Science Chinese Academy of Sciences School of Mathematical Sciences University of Chinese Academy of Sciences

This paper considers optimal feedback control for a general continuous time finite-dimensional deterministic system with finite horizon cost functional. A practically feasible algorithm to calculate the numerical solution of the optimal feedback control by dynamic programming approach is developed. The highlights of this algorithm are: a) It is based on a convergent constructive algorithm for optimal feedback control law which was proposed by the authors before through an approximation for the viscosity solution of the time-space discretization scheme developed by dynamic programming method; b) The computation complexity is significantly reduced since only values of viscosity solution on some local cones around the optimal trajectory are calculated. Two numerical experiments are presented to illustrate the effectiveness and fastness of the algorithm.

关键词： Curse of dimensionality Hamilton-Jacobi-Bellman equation optimal feedback control upwind finite difference viscosity solutions

Adaptive compensating method for Doppler frequency shift using LMS and phase estimation

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Journal of Systems Engineering and Electronics 2009年第5期20卷 913-919页

作者： Jing qingfeng guo qing Coll. of Astronautics Nanjing Univ. of Aeronautics and Astronautics Nanjing 210000 P. R. China Communication Research Center Harbin Inst. of Technology Harbin 150001 P. R. China

The novel compensating method directly demodulates the signals without the carrier recovery processes, in which the carrier with original modulation frequency is used as the local coherent carrier. In this way, the phase offsets due to frequency shift are linear. Based on this premise, the compensation processes are： firstly, the phase offsets between the baseband neighbor-symbols after clock recovery is unbiasedly estimated among the reference symbols; then, the receiving signals symbols are adjusted by the phase estimation value; finally, the phase offsets after adjusting are compensated by the least mean squares （LMS） algorithm. In order to express the compensation processes and ability clearly, the quadrature phase shift keying （QPSK） modulation signals are regarded as examples for Matlab simulation. BER simulations are carried out using the Monte-Carlo method. The learning curves are obtained to study the algorithm＇s convergence ability. The constellation figures are also simulated to observe the compensation results directly.

关键词： Doppler frequency shift least mean square minimum phase shift keying unbiased estimation Matlab simulation.

Photoinduced Electron Transfer in Host-Guest Complexes of Naphthalene Derivatives with p-NBCD and m-NBCD

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Chinese Chemical Letters 2006年第3期17卷 333-336页

作者： Hui Yuan HU Man Zhou ZHU Zhi Ping ZHANG guo tao WEN qing Xiang guo Department of Chemistry University of Science and Technology of China Hefei 230026

A number of naphthalene derivatives containing adamantanamine binding moiety and an （CH2）. （n = 2, 3, 4, 5, 6） spacer were prepared as electron donor. A supramolecular assembly was fabricated by the inclusion complexation of the donor substrates with the host molecules, mono-6-O-p-nitrobenzoyl-β-cyclodextrin （p-NBCD） and mono-6-O-m-nitrobenzoyl-β-cyclodextrin （m-NBCD）, in water. The fluorescence quenching in these systems was studied and detailed Stern-Volmer constants were measured. It revealed that an efficient photoinduced electron transfers （PET） between the naphthalene donors and the cyclodextrin acceptors occurred.

关键词： Cyclodextrin fluorescence quenching photoinduced electron transfer supramolecule.

Joule-Thomson expansion of the regular(Bardeen)-AdS black hole

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Chinese Physics C 2020年第3期44卷 148-154页

作者： Sen guo Jin Pu qing-Quan Jiang Xiao-tao Zu College of Physics and Space Science China West Normal UniversityNanchong 637002China School of Physics University of Electronic Science and Technology of ChinaChengdu 610054China

We study the Joule-Thomson expansion of the regular black hole in an anti-de Sitter background,and obtain the inversion temperature for the Bardeen-AdS black hole in the extended phase *** investigate the isenthalpic and inversion curves for the Bardeen-AdS black hole in the T-P plane and find that the intersection points between them are exactly the inversion points discriminating the heating from the cooling *** inversion curve for the regular(Bardeen)-AdS black hole is not closed and there is only a lower inversion curve,in contrast to the Van der Waals *** importantly,we find that the ratio between the minimum inversion temperature and the critical temperature for the regular(Bardeen)-AdS black hole is 0.536622,which is larger than any known ratio for the singular black *** large ratio for the Bardeen-AdS black hole may be due to the repulsive de Sitter core near the origin of the regular black hole.

关键词： Joule-Thomson expansion inversion curve inversion temperature the regular(Bardeen)-AdS black hole