Solving the Jaynes-Cummings Model with Shift Operators Constructed by Means of the Matrix-Diagonalizing Technique

The Jaynes-Cummings model is solved with the raising and lowering(shift) operators using the matrix-diagonalizing technique. Bell nonlocality is also found to be present ubiquitously in the excitation states of the model.     

新型含苯并唑类铱配合物的合成及其发光性能

以2-溴-9-乙基-9H-咔唑为原料,首先与联硼酸频那醇酯经宫浦硼基化反应制得相应的有机硼产物,再与溴代物发生传统的铃木偶联反应合成了3种新型的环金属配体(3a~3c);3a~3c依次与三氯化铱及传统辅助配体乙酰丙酮反应合成了3个新型含苯并唑类(苯并恶唑、苯并噻唑和苯并吡唑)环金属铱配合物(4a~4c),其结构经~1H NMR和MS(ESI或FAB)表征。并对其紫外和荧光光谱进行了研究。结果表明:4a~4c由于主配体的结构微调,可实现发光颜色由黄绿色到橙色的调控。     

Probabilistic resumable quantum teleportation in high dimensions

Teleportation is a quantum information process without classical counterparts, in which the sender can disembodiedly transfer unknown quantum states to the receiver. In probabilistic teleportation through a partial entangled quantum channel, the transmission is exact (with fidelity 1), but may fail in a probability and the initial state is destroyed simultaneously. We propose a scheme for nondestructive probabilistic teleportation of high-dimensional quantum states. With the aid of an ancilla in the hands of the sender, the initial quantum information can be recovered when teleportation fails. The ancilla acts as a quantum apparatus to measure the sender's subsystem. Erasing the information recorded in it can resume the initial state.     

Applications of Polynomial Algebras to 2-Dimensional Deformed Oscillators

The polynomial algebra is a deformed su（2） algebra. Here, we use polynomial algebra az a method to solve a series of deformed oscillators. Thus, we find a series of physics systems corresponding with polynomial algebra with different highest orders.     

Demonstrating an additional law of relativistic velocities based on squeezed light

The special relativity is the foundation for many branches of modern physics, of which the theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use of the convenient substitute, i.e., the squeezed light in the present paper. The squeezed light is very important in the field of quantum optics, and the corresponding transformation can be regarded as the coherent state of SU(1,1). In this paper, the connection between the squeezed operator and the Lorentz boost is built under certain conditions. Furthermore, the additional law of relativistic velocities and the angle of the Wigner rotation are deduced as well.     

Dirac equation with a magnetic field in 3D non-commutative phase space

For a spin-1/2 particle moving in a background magnetic field in noncommutative phase space, the Dirac equation is solved when the particle is allowed to move off the plane that the magnetic field is perpendicular to. It is shown that the motion of the charged particle along the magnetic field has the effect of increasing the magnetic field. In the classical limit, matrix elements of the velocity operator related to the probability give a clear physical picture. Along an effective magnetic field, the mechanical momentum is conserved and the motion perpendicular to the effective magnetic field follows a round orbit. If using the velocity operator defined by the coordinate operators, the motion becomes complicated.     

Demonstrating additional law of relativistic velocities based on squeezed light

The special relativity is the foundation for many branches of modern physics, of which the theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use of the convenient substitute, i.e., the squeezed light in the present paper. The squeezed light is very important in the field of quantum optics, and the corresponding transformation can be regarded as the coherent state of SU(1,1). In this paper, the connection between the squeezed operator and the Lorentz boost is built under certain conditions. Furthermore, the additional law of relativistic velocities and the angle of the Wigner rotation are deduced as well.     

A New Quasi-Exactly Solvable Problem and Its Connection with an Anharmonic Oscillator

The two-dimensional hydrogen with a linear potential in a magnetic field is solved by two different methods. Furthermore the connection between the model and an anharmonic oscillator is investigated by methods of KS transformation.     

无穷深势阱中相对论粒子的矩阵元及其经典近似

对于无穷深势阱中自旋为０(满足Klein-Gordon方程)和自旋为1/2(满足Dirac方程)的相对论粒子, 分别计算了坐标、动量以及速度算符的矩阵元. 在大量子数极限下, 这些矩阵元给出相应的经典物理量(这里是狭义相对论中的有关量), 并且满足正确的经典关系. 从而表明, Heisenberg对应原理对这样的相对论体系也适用. 关键词： 无穷深势阱 Klein-Gordon方程 Dirac方程 Heisenberg对应原理     

Higgs Algebraic Symmetry of Screened System in a Spherical Geometry

The orbits and the dynamical symmetries for the screened Coulomb potentials and isotropic harmonic oscillators have been studied by Wu and Zeng[Z.B.Wu and J.Y.Zeng,Phys.Rev.A 62(2000)032509].We find similar properties in the corresponding systems in a spherical space,whose dynamical symmetries are described by Higgs algebra.There exist extended Runge-Lenz vector for screened Coulomb potentials and extended quadruple tensor for screened harmonic oscillators.They,together with angular momentum,constitute the generators of the geometrical symmetry group.Moreover,there exist an infinite number of closed orbits for suitable angular momentum values,and we give the equations of the classical orbits.The eigenenergy spectrum and corresponding eigenstates in these systems are derived.