Quantum Statistics of a Forced Oscillator with a Time－Dependent Driving Force

Quantum statistics of a forced harmonic oscillator acted upon by a time-dependent external force are derived usingthe Wilcox trick and the time-dependent inhomogeneous Bogoliubov transformation formalism. The internal energy, fluctuation of the particle-number average and entropy of this nonequilibrium system are presentedexplicitly.     

Quantum Logic Network for Probabilistic Teleportation of Two-Particle State in a General Form

A simplification scheme of probabilistic teleportation of two-particle state in a general form is given.By means of the primitive operations consisting of single-qubit gates,two-qubit controlled-not gates,Von Neumann measure-ment and classically controlled operations,we construct and efficient quantum logical network for implementing the new scheme of probabilistic teleportation of a two-particle state in a general form.     

Quantum Teleportation of a Three—Particle Entangled State

We present a scheme for teleporting a three-particle entangled state to three remote particles.In this scheme,three pairs of pure nonmaximally entangled states are considered as quantum channels.It is found that by means of optimal discrimination between two nonorthogonal quantum states,probabilistic teleportation of the three-particle entangled state can be achieved.     

Quantum Radiation of a Non-stationary Kerr-Newman Black Hole in de Sitter Space-Time

Hawking radiation of Klein-Gordon and Dirac particles in a non-stationary Kerr-Newman-de-Sitter black hole is studied by introducing a new tortoise coordinate transformation. The result shows that the Fermi-Dirac radiant spectrum displays a new term that represents the interaction between the spin of spinor particles and the rotation of black holes, which is absent in the Bose-Einstein distribution of Klein-Gordon particles.     

Deformed Potential Energy of ^263Db in a Generalized Liquid Drop Model

The macroscopic deformed potential energy for super-heavy nuclei ^263 Db, which governs the entrance and alphadecay channels, is determined within a generalized liquid drop model (GLDM). A quasi-molecular shape is as-sumed in the GLDM, which includes volume-, surface-, and Coulomb-energies, proximity effects, mass asymmetry,and an accurate nuclear radius. The microscopic single particle energies are derived from a shell model in anaxially deformed Woods-Saxon potential with a quasi-molecular shape. The shell correction is calculated by theStrutinsky method. The total deformed potential energy of a nucleus can be calculated by the macro-microscopicmethod as the summation of the liquid-drop energy and the Strutinsky shell correction. The theory is appliedto predict the deformed potential energy of the experiment ^22Ne ^241Am→^263Db^*→^259Db 4n, which wasperformed on the Heavy Ion Accelerator in Lanzhou. It is found that the neck in the quasi-molecular shape isresponsible for the deep valley of the fusion barrier due to the shell corrections. In the cold fusion path, thedouble-hump fusion barrier is predicted by the shell correction and complete fusion events may occur.     

Probabilistic Teleportation of an Unknown Two-Particle State with a Four-Particle Pure Entangled State and Positive Operator Valued Measure

We propose a scheme for probabilistic teleportation of an unknown two-particle state with a four-particle pure entangled state and positive operator valued measure （POVM）. In this scheme the teleportation of an unknown two-particle state can be realized with certain probability by performing two Bell state measurements, a proper POVM and a unitary transformation.     

Generalized Fokker-Planck Equation with Time-Dependent Transport Coefficients and a Quadratic Potential： Its Application in Econophysics

In order to control non-equilibrium processes and to describe the fat-tail phenomenon in econophysics, we generalize the traditional the Fokker-Planck equation (FPE) by including a quadratic correlation potential, and by making the time-dependent drift diffusion coefficients. We investigate the su(1, 1) u(1) algebraic structure and obtain the exact solutions to the generalized time-dependent FPE by using the algebraic dynamical method.Based on the exact solution, an important issue in modern econophysics, i.e. the fat-tail distribution in stock markets, is analysed.