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...
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...
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...
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...
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...
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...
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...
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...
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...
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...