supported by the National Natural Science Foundation of China(Grant Nos.12205133,LJKQZ20222315 and 2021BSL013)
Quantum entanglement is a typical nonclassical correlation.Here,we use this concept to analyze quantum entanglement for continuous variables generated by the Schwinger pair production for constant and pulsed electric ...
Supported by the National Natural Science Foundation of China under Grant No.11271210;the K.C.Wong Magna Fund in Ningbo University
In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation (HONLS) by the Darboux transformation and confirm the decomposition rule o...
Supported by the Higher School Visiting Scholar Development Project under Grant No.FX2013103;the Research Fund under Grant No.ZCI2XJY003; Research Fund for the Doctoral Program under Grant No.Z301B13519 of the Zhejiang University of Media and Communications;Zhejiang Province Science Foundation for Youths under Grant No.LQ12F05005;National Natural Science Foundation of China under Grant No.11374254
We discuss the nonlinear Schr6dinger equation with variable coefficients in 21) graded-index waveguides with different distributed transverse diffractions and obtain exact bright and dark soliton solutions. Based on ...
We investigate the Schr6dinger equation for a particle with a nonuniform solitonic mass density. First, we discuss in extent the (nontrivial) position-dependent mass V(x) = 0 case whose solutions are hypergeometri...
supported by the National Natural Science Foundation of China under Grant Nos.10125521 and 60371013;the 973 National Basic Pesearch and Development Program of China under Contract No.G2000077400
We study the generalized harmonic oscillator that has both the position-dependent mass and the potential depending on the form of mass function in a more general framework. The explicit expressions of the eigenvalue a...
The project supported by National Natural Science Foundation of China, the Natural Science Foundation of Shandong Province of China, and the Natural Scienoe Foundation of Liaocheng University
By using the extended hyperbolic function method, we have studied a quintic discrete nonlinear Schrodinger equation and obtained new exact localized solutions, including the discrete bright soliton solution, dark soli...
The project supported by National Natural Science Foundation of China and the Doctoral Tutoring Foundation of the Ministry of Education of Chin
We extend the method of searching “eigen-operator” of the square of the Schroedinger operator to the interaction picture, which not only helps to construct Hamiltonians of two kinds of parametric amplifiers but also...
A newly transparent approach for determining energy eigenvalues is proposed, which is finding the ‘eigen-operator' of the square of the Schroedinger operator. As three examples, we discuss the energy level of a nonde...