ANALYTICAL_SOLUTION

作品数:485被引量:827H指数:11
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相关作者:董陇军李夕兵严林隽梁建文陈光辉更多>>
相关机构:天津大学中南大学南加州大学北京理工大学更多>>
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Exact quantum dynamics for two-level systems with time-dependent driving
《Chinese Physics B》2024年第12期79-85,共7页Zhi-Cheng He Yi-Xuan Wu Zheng-Yuan Xue 
supported by the National Natural Science Foundation of China(Grant No.12275090);the Guangdong Provincial Quantum Science Strategic Initiative(Grant No.GDZX2203001);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302303)。
It is well known that the time-dependent Schrrödinger equation can only be solved exactly in very rare cases,even for two-level quantum systems.Thus,finding the exact quantum dynamics under a time-dependent Hamiltonia...
关键词:quantum computation quantum control analytical solution 
Analytical solution to incident angle quasi-phase-matching engineering for second harmonic generation in a periodic-poled lithium niobate crystal
《Chinese Physics B》2024年第2期115-123,共9页洪丽红 邱雅婷 李晓霓 陈宝琴 李志远 
Project supported by the National Natural Science Foundation of China(Grant No.11974119);the Science and Technology Project of Guangdong Province,China(Grant No.2020B010190001);the Guangdong Innovative and Entrepreneurial Research Team Program(Grant No.2016ZT06C594);the National Key Research and Development Program of China(Grant Nos.2018YFA,0306200,and 2019YFB2203500);the Science and Technology Program of Guangzhou City(Grant No.2023A04J1309).
Phase matching or quasi-phase matching(QPM)is of significant importance to the conversion efficiency of second harmonic generation(SHG)in artificial nonlinear crystals like lithium niobate(LN)crystal or microstructure...
关键词:nonlinear frequency conversion transmission REFLECTION lithium niobate 
Three-dimensional MHD flow over a shrinking sheet: Analytical solution and stability analysis被引量:1
《Chinese Physics B》2017年第1期285-289,共5页Sumaira Afzal Saleem Asghar Adeel Ahmad 
The magnetohydrodynamic(MHD) steady and unsteady axisymmetric flows of a viscous fluid over a two-dimensional shrinking sheet are addressed. The mathematical analysis is carried out in the presence of a large magnet...
关键词:steady and unsteady magnetohydrodynamic flows two-directional shrinking sheet exact and asymptotic solutions stability analysis 
Analytical solution based on the wavenumber integration method for the acoustic field in a Pekeris waveguide被引量:2
《Chinese Physics B》2016年第4期194-205,共12页骆文于 于晓林 杨雪峰 张仁和 
supported by the National Natural Science Foundation of China(Grant No.11125420);the Knowledge Innovation Program of the Chinese Academy of Sciences;the China Postdoctoral Science Foundation(Grant No.2014M561882);the Doctoral Fund of Shandong Province;China(Grant No.BS2012HZ015)
An exact solution based on the wavenumber integration method is proposed and implemented in a numerical model for the acoustic field in a Pekeris waveguide excited by either a point source in cylindrical geometry or a...
关键词:wavenumber integration technique Pekeris waveguide analytical solution branch line integral 
Inverse problem of quadratic time-dependent Hamiltonians
《Chinese Physics B》2015年第8期159-165,共7页郭光杰 孟艳 常虹 段会增 邸冰 
supported by the National Natural Science Foundation of China(Grant No.11347171);the Natural Science Foundation of Hebei Province of China(Grant No.A2012108003);the Key Project of Educational Commission of Hebei Province of China(Grant No.ZD2014052)
Using an algebraic approach, it is possible to obtain the temporal evolution wave function for a Gaussian wavepacket obeying the quadratic time-dependent Hamiltonian(QTDH). However, in general, most of the practical c...
关键词:quadratic time-dependent Hamiltonians analytical solution inverse method 
Time fractional dual-phase-lag heat conduction equation被引量:2
《Chinese Physics B》2015年第3期207-213,共7页续焕英 蒋晓芸 
supported by the National Natural Science Foundation of China(Grant Nos.11102102,11472161,and 91130017);the Natural Science Foundation of Shandong Province,China(Grant No.ZR2014AQ015);the Independent Innovation Foundation of Shandong University,China(Grant No.2013ZRYQ002)
We build a fractional dual-phase-lag model and the corresponding bioheat transfer equation, which we use to interpret the experiment results for processed meat that have been explained by applying the hyperbolic condu...
关键词:fractional dual-phase-lag model thermal wave non-Fourier heat conduction analytical solution 
Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap被引量:1
《Chinese Physics B》2012年第12期88-93,共6页石玉仁 刘丛波 王光辉 周志刚 
Project supported by the National Natural Science Foundation of China(Grant No.11047010);the Key Project Foundation of the Education Ministry of China(Grant No.209128)
The Homotopy analysis method (HAM) is adopted to find the approximate analytical solutions of the Gross- Pitaevskii equation, a nonlinear Schrodinger equation is used in simulation of Bose-Einstein condensates trapp...
关键词:Gross-Pitaevskii equation homotopy analysis method analytical solution 
Analytical investigation of the boundary-triggered phase transition dynamics in a cellular automata model with a slow-to-start rule被引量:1
《Chinese Physics B》2012年第10期38-43,共6页贾宁 马寿峰 钟石泉 
Project supported by the National Natural Science Foundation of China (Grant Nos. 70971094 and 50908155);the Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT)
Previous studies suggest that there are three different jam phases in the cellular automata automaton model with a slow-to-start rule under open boundaries.In the present paper,the dynamics of each free-flow-jam phase...
关键词:traffic flow boundary-triggered phase transition cellular automata time evolution analytical solution 
Pseudo analytical solution to time periodic stiffness systems
《Chinese Physics B》2011年第4期97-102,共6页王延忠 周元子 
supported by the National Natural Science Foundation of China (Grant No. 50875009);the Defense Industrial Technology Development Program of China (Grant No. B0620060424);the Aviation Science Foundation of China (Grant No. 20090451009)
An analytical form of state transition matrix for a system of equations with time periodic stiffness is derived in order to solve the free response and also allow for the determination of system stability and bifurcat...
关键词:parametric excitation time periodic stiffness STABILITY RESPONSE 
Analytical solutions of transient pulsed eddy current problem due to elliptical electromagnetic concentrative coils被引量:2
《Chinese Physics B》2010年第12期30-42,共13页肖春燕 张军 
Project supported by the National Natural Science Foundation of China (Grant No. 50807001)
The electromagnetic concentrative coils are indispensable in the functional magnetic stimulation and have potential applications in nondestructive testing. In this paper, we propose a figure-8-shaped coil being compos...
关键词:transient pulsed eddy current analytical solution elliptical electromagnetic concentra-tive coil functional magnetic stimulation 
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