A nonNoether conserved quantity, i. e. Hojman conserved quantity constructed using the Noether symmetry for the nonholonomic mechanical system is presented. Under special infinitesimal transformations in which the time is not variable, the special Noether symmetry and Noether conserved quantity are given, and the condition under which the special Noether symmetry is a special Lie symmetry is obtained. From the special Noether symmetry, the Hojman conserved quantity of the corresponding holonomic system, the weakly Hojman conserved quantity and the strongly Hojman conserved quantity of the nonholonomic systems are obtained. An example is given to illustrate the application of the result.

A direct extension of the known Lie algebra An-1 is presented, a new Lie algebra gl(n,C) is obtained. For the sake of application convenience, Lie algebra gl(3,C) is only considered, whose subalgebra is constructed. By the definition of the subalgebra gradation,a new loop algebra is shown. As its application, an isospectral problem is designed. It follows that a new Lax pair is obtained. By making use of Tu scheme, a family of new Liouville integrable system is resented, which possesses a biHamiltonian structure. As the reduction case of the hierarchy obtained, a new coupled generalized Schrdinger equation is obtained.

The method of raising and lowering operator is used to solve the problem of threedimensional isotropic harmonic oscillator with Spinorbit coupling. The energy level splitting of the harmonic oscillator is analyzed and discussed.

In this article we study BoseEinstein condensation of the gas with interactions in a harmonic trap using a numerical method. The distribution of the energy states was given, by which the author calculated the shift of the critical temperature and made a comparison with the situation without interactions. We have obtained a positive shift of critical temperature for systems with repulsive interaction, and a negative one for systems with attractive interaction.

In this paper, we investigate twoatom entanglement in time evolution and the thermal entanglement in a generalized JaynesCummings model by means of concurrence. The result shows that the twoatom entangled state appears with periodicity, which decreases with increasing dipoledipole coupling between the two atoms. In a finite temperature, the concurrence decreases with increasing temperature, and the thermal entanglement vanishes in this JaynesCummings model when the system temperature reaches the critical temperature, which is proportional to the dipoledipole coupling strength of the two atoms. For typical experimental data, the critical temperature is on the order of 10-5K. In addition, there exists the quantum phase transition in this JaynesCummings model

The eigenvalue equation of the step finite strained single quantum well is deduced from Schrdinger equation, the influence of the step width on first electron energy, first hole energy, the stimulated wavelength, and the influence of the first hole energy on stimulated wavelength are studied. The results indicate that, if the In content is large, the influence of the first hole energy on the stimulated wavelength should not be neglected. The calculated value by using this model is in accord with the experiment results.

Based on recurrence plot (RP) of chaotic time series, this paper develops the definition of cross recurrence plot (CRP) and the average length of close orbits, which reflects the similarity of two time series and is used to classify time series. By analysing the Lorenz signals, we conclude that the average length is decreased with the decrease of the similarity of two orbits. We have used our method and the crossprediction error in the detection of ECG rhythm. The results show that both methods work for rhythm with different waveforms, but our method works better for rhythms with similar waveforms than the method of cross_prediction error.

Synchronization problem of a class of chaotic systems based on observer is proposed. In the article we propose a simple but effective method for synchronization of a class of chaotic systems by the use of state observer，and analyse the stability of the synchronization system. Numerical simulations are presented to show that the method is effective.

We have studied the secular motion of a single ion stored in a Paul trap and sub jected to a sequence of standing laser pulses. Through theoretical analyses and numerical calculations, we obtain an exact solution of the classical motion equa tion that describes time evolution of the system. By using the exact solution we have investigated regular and chaotic motions of the system. For a weakly trapp ed ion with small confining frequency, a critical condition under which the s ys tem goes into global chaos is found. The loss of stability caused by resonanc e is shown and a method for controlling the instability is established.

From thermodynamic theory of the lead zirconatetitanate(PZT) solid solution sy stem, we have got the basic equation between the dielectric constant εr a nd lattice distortion c/a in ferroelectric tetragonal phase region, and base d on the relative experimental data and logical deduction to physics image, we h ave established basic relations between εr and c/a. And then, from th e basic relations, we have studied in detail the physics image about lattice dis tortion c/a effect on the dielectric constant εr in ferroelectric tet ragonal phase region. A comparison with related experimental results indicates t hat the results of the basic relations are in good agreement with the conclusion s of the experiments. Finally, we have discussed the application range of the ba sic relations and the physics reason of relative warp out of application range. We would emphasize that the basic relations are essentially fitted to all perovs kite structure materials.

From mechanics and energetics point of view, this paper proves concisely that th e pressure difference between inside and outside of a crownshaped droplet on t he surface of a condenser is different from that of a spherical droplet in the c ondenser, and indicates its disagreement with that shown in the paper by Min J C , 2002, Acta Phys. Sin. 51 2730. The reason is given in this pap er.

Here we present a method of modeling fluorophore molecules as spheres in evan escent fields mathematically instead of the assumption of tophat function dist r ibution. Based on this model, we discuss that it is possible to calculate relati ve separation distances of the molecules, and their axial positions and diameters with the total internal reflection fluorescence microscopy(TIRFM) due to its uni que intensity pattern in the z direction. In the whole process, we need mere ly to change the incident angle once, that is to get only two frame imaging of TIRFM.

This paper presents the special character of a new type of plastics sc intillator prepared for the diagnosis of the total xrays in Zpinch. The expe ri mental results in the laboratory of Beijing Synchrotron Radiation Facility (BSRF ) indicate that the scintillator has a characteristic of even energy respond in the energy region from 100eV to 1400eV, heavy restrain of visible light, fast de cay time of 6ns.

Choosing the polarization of the laser,changing the wavelength of the excitation laser and the strength of an external electric field synchronously to keep scal edenergy constant,we have measured M=0 constant scaledenergy absorption spectra of barium Rydberg atoms at scaledenergy ε=-300.Fourier transfor med recurrence spectra were compared with the closedorbit calculation for hydr ogen atom in the uniform approximation.The positions of experimental recurrence peaks fit well the theoretical ones,but the peak strengths differ remarkably,esp ecially in the region of scaledaction larger than 5.This may indicate a large effect of the barium core and the electron correlation on the electron dynamics.

The photoionization of methanol seeded in He, N2, Ar gases by an inten se 25ns NdYAG 532nm laser has been studied by timeofflight mass spectrome try . At the laser intensity about 1011W·cm-2, strong multicharged io ns Cq+(q=2—4) and Oq+(q=2—4) appeared in the mass spectra apart from the ions coming from multiphoton ionization (MPI) process when Ar w as used as a carrier gas. From the simulation, we can find the vel ocity of multicharged ions is distributed in Gaussian shape with a FWHM of 6 4×104 m/s. From the experimental results of changing carrier gases and changi ng the delay time of the pulsed electric field, the conclusion can be drawn that th ose multicharged ions come from the Coulomb explosion of methanol cluster ions .

Optical dipole potential in an inhomogeneous light field is an important method of realizing the laser cooling and trapping of single atoms. The optical dipole trap in the highfinesse microcavity is discussed, and different confi gur ations of optical potential composed of standing wave and vertical confined beam s are analyzed. It is shown that the submicron scale optical trap could be ob t ained in this microcavity with the potential depth of about mK. The strong cou pling of atom and the cavity mode can be realized. We also discuss the effect of laser line width on the depth of potential well.

By means of canonicalization transformation, we study the quantization of dissi pative mesoscopic capacitance coupling circuit, and discuss the quantum fluctuat ions of charges and generalized currents in the system.

By using the definition of generalized secondorder moments and co m plex Gaussian functions expansion of rectangular function, the analytical expres sions for the generalized M2factor and mode coherence coefficients of th e new m odel of flattopped beams introduced by Li have been derived. The mode correlat i on, mode structure, and coherentmode decomposition of flattopped beams have be en analyzed. Theory of the coherentmode decomposition of truncated flattoppe d beams is built.

By means of a unique electrode construction and preionization burstmode switch technology, 5kW pulse average output is obtained in a transverse flow CO2 las er.

We have studied the dynamic propagation of an optical beam from selfdefocusing to selffoc using in photovoltaic photorefractive crystals LiNbO3:Fe in the framework of a t wodimensional band transport model. The results show that dark irradiation pla ys an important part in the transition process. The transition occurs only when th e normalized dark irradiation is very small. We discuss also the influence of py roelectric effect on the transition process.

This paper studies the adiabatic soliton compression of pulses in dispersion dec reasing fibers(DDF).We indicate that although high quality compressed pulse coul d be achieved from ps fundamental soliton by using DDF with linear profile,the r equired fiber length is too long to be useful.As a result,higher order soliton c ompression in DDF is proposed to achieve large compression factor and high quali ty compression with relatively short fiber lengths.

The absorption spectra, fluorescence spectra, fluorescence lifetime and thermal stability of Er3+doped (50x)SiO2xBi2O350PbF2 (x =0, 3, 5, 8, 10, 13, 15 mol%) glasses were investigated. The intensity paramet ers Ωt (t=2,4,6) were calculated by JuddOfelt theory, and the stimulate d emission sectionsections of 4I13/2→4I15/2 transitio ns were calculated by McCumber. The results showed that the FWHM value is relate d to the Ω6 parameter, and the larger the Ω6 parameter, the broade r the FWHM. Compared with other glass hosts, the gain bandwidth property of Er 3+doped SBP3 glass is close to those of tellurite and bismuth glasses, and much greater than those of silicate, a phosphate and germanate glass, which sho ws that Er3+doped heavy metal oxyfluoride bismuth silicate glasses can b e used as host materials for broadband optical amplifier.

In this paper, optical pulse compression using a dispersion shift fiber and a standard singlemode fiber is demonstrated both analytically and experime nta lly. The effects of fiber and input pulse parameters on the compressing quality are discussed through numerical simulation. Experimental results of compressing puls es generated from a harmonically modelocked fiber laser verify that highqual ity pulses can be obtained using this compression method.