Strong coupling expansion in the massive Thirring model

A strong coupling expansion of the Green functions in the massive Thirring model is formulated. Expressions obtained for the fundamental fermion mass and theβ function agree with the known qualitative features of these physical quantities.     

An asymptotic expansion for energy eigenvalues of anharmonic oscillators

In the present contribution, we derive an asymptotic expansion for the energy eigenvalues of anharmonic oscillators for potentials of the form V(x)=κx^2q+ωx²,q=2,3,…$V\left(x\right)=\kappa x^{2q}+\omega x^2,q=2,3,\dots$ as the energy level n$n$ approaches infinity. The asymptotic expansion is obtained using the WKB theory and series reversion. Furthermore, we construct an algorithm for computing the coefficients of the asymptotic expansion for quartic anharmonic oscillators, leading to an efficient and accurate computation of the energy values for n≥6$n\ge 6$.     

Spectrum of orientifold QCD in the strong coupling and hopping expansion approximation

We use the strong coupling and hopping parameter expansions to calculate the pion and rho meson masses for lattice Yang–Mills gauge theories with fermions in irreducible two-index representations, namely the adjoint, symmetric and antisymmetric. The results are found to be consistent with orientifold planar equivalence, and leading order 1/Nc$1/N_c$ corrections are calculated in the lattice phase. An estimate of the critical bare mass, for which the pion is massless, is obtained as a function of the bare coupling. A comparison to data from the two-flavour SU(2)$\mathit{SU}(2)$ theory with adjoint fermions gives evidence for a bulk phase transition at βc∼2${\beta }_c\sim 2$, separating a pure lattice phase from a phase smoothly connected to the continuum.     

Strong coupling constants of light pseudoscalar mesons with heavy baryons in QCD

We calculate the strong coupling constants of light pseudoscalar mesons with heavy baryons within the light cone QCD sum rules method. It is shown that sextet–sextet, sextet–antitriplet and antitriplet–antitriplet transitions are described by one universal invariant function for each class. A comparison of our results on the coupling constants with the predictions existing in literature is also presented.     

Strong coupling between Tamm plasmon and QW exciton

We report on the strong coupling between a Tamm plasmon mode and excitons from inorganic quantum wells. The sample is formed by an AlAs/GaAlAs Bragg reflector containing InGaAs QWs in its high refractive index layers, on top of which a thin silver film is deposited. Angle resolved reflectometry experiments at low temperature (77 K) show a clear anticrossing in the dispersion relations, evidencing the strong coupling regime. The Rabi splitting amounts to 11.5 meV. Emission from low and high energy Tamm plasmon/exciton polaritons is also demonstrated. Experimental data are in very good agreement with transfer matrix simulations.     

Transverse coupling and dynamics of patterns in a photorefractive oscillator

The effect of transverse coupling in a photorefractive oscillator is studied. From the study the condition for stable optical patterns of multimode oscillation is given analytically and verified by numerical simulation. Under the stable condition, the period-doubling route to spatiotemporal chaos is observed.     

基于节块展开法的Jacobian-Free Newton Krylov联立求解物理-热工耦合问题

目前反应堆物理热工耦合程序通常采用固定点迭代思路, 这可能导致部分工况收敛速度慢, 甚至出现不收敛的现象, 严重影响了计算效率. 基于此, 本文将高效的粗网节块展开法(NEM)与Jacobian-Free Newton-Krylov (JFNK)方法结合, 成功地开发出了一套新方法NEM_JFNK, 实现了联立求解物理热工耦合问题. 首先将NEM推广到热工问题的求解, 之后使用NEM来离散物理-热工耦合问题的所有控制方程, 使得所有变量都能在粗网格下进行离散, 从而大大减小求解问题的规模; 其次将NEM离散后的方程经过某些特殊的处理, 成功地嵌入JFNK的计算框架, 最终开发出了基于线性预处理的NEM_JFNK, 即LP_NEM_JFNK. 此外, 为了充分利用原有的迭代程序, 避免JFNK残差方程的重新建立, 本文还开发了无需重构残差方程的NEM_JFNK, 即NRC_NEM_JFNK, 并实现“黑箱”耦合. 文中以一维中子-热工模型为例, 给出LP_NEM_JFNK和NRC_NEM_JFNK数学模型, 并对计算结果进行分析. 结果表明:新方法无论是收敛速度还是计算效率都具有明显优势.     

Comment on: Modified perturbation series for the anharmonic oscillator using linearization technique

Following the argument of Halliday and Suranyi (1980), we find that the perturbation series for the anharmonic oscillator using linearization technique of random phase approximation (Ullah 1985) will lead to divergent result. A remedy for this is also suggested.     

Reply to the comment on ‘Modified perturbation series for the anharmonic oscillator using linearization technique’

It is pointed out that the value of the perturbed energy calculated in the comment by Rath and Pattnayak, is incorrect. When the coupling parameter has the value unity, the energy up to second order of perturbation theory is 0.801 compared to its exact value of 0.804. The suggested split of the Hamiltonian into an unperturbed and perturbed part does not seem to be of any use as the unperturbed part contains anharmonic terms.     

Strong coupling expansion for the Bose-Hubbard and Jaynes-Cummings lattice models

A strong coupling expansion based on the Kato-Bloch perturbation theory, which has recently been proposed by Eckardt et?al (2009 Phys. Rev. B 79 195131) and Teichmann et?al (2009 Phys. Rev. B 79 224515), is implemented in order to study various aspects of the Bose-Hubbard and Jaynes-Cummings lattice models. The approach, which allows us to generate numerically all diagrams up to a desired order in the interaction strength, is generalized for disordered systems and for the Jaynes-Cummings lattice model. Results for the Bose-Hubbard and Jaynes-Cummings lattice models will be presented and compared with results from the variational cluster approach and density matrix renormalization group. Our focus will be on the Mott insulator to superfluid transition.     

超混沌振荡器的混沌耦合同步

提出了两种应用单变量单向混沌耦合同步超混沌振荡器的同步方案。首先给出了混沌耦合同步方案的数学证明，然后通过数值仿真证实了该混沌耦合同步方案的正确性和有效性。最后通过计算条件李雅谱诺夫指数，比较了不同耦合强度下，两种混沌耦合同步和典型的连续耦合同步的同步性能。计算表明在一定的耦合强度下，混沌耦合比典型的连续耦合同步速度快。     

A no-go result for the quantum damped harmonic oscillator

In this letter we show that it is not possible to set up a canonical quantization for the damped harmonic oscillator using the Bateman Lagrangian. In particular, we prove that no square integrable vacuum exists for the natural ladder operators of the system, and that the only vacua can be found as distributions. This implies that the procedure proposed by some authors is only formally correct, and requires a much deeper analysis to be made rigorous.     

厄尔尼诺-南方波涛动时滞海气振子耦合模型的分岔分析

本文研究了一类具有时滞的厄尔尼诺一南方波涛动模型．得到了该模型在平衡点稳定的充分条件．通过选择时滞η为分岔参数,得到了当时滞η通过一系列的临界值时,Hopf分岔产生,然后,应用中心流形和规范型理论,得到了确定Hopf分岔特性（例如Hopf分岔方向和分岔周期解的稳定性以及Hopf分岔周期解的周期等）的计算公式．最后进行数值模拟验证了所得结果的正确性．     

Modified perturbation series for the anharmonic oscillator using linearization technique

The linearization technique of random phase approximation is applied to the anharmonic oscillator to find a modified perturbation series. It is shown that for the anharmonic termλx ⁴, the ground state energyE ₀ upto the second order of perturbation is given byE ₀=(35/48) (3/4)^1/3 λ ^1/3 asλ→∞.     

The cluster expansion for classical and quantum lattice systems

We develop a high-temperature expansion for general lattice systems which can be applied to classical as well as quantum systems. Applying the expansion we prove analyticity of correlation functions, uniqueness of equilibrium states, and cluster properties for classical and quantum lattice systems in the high-temperature region.     

Wave function of the harmonic oscillator in classical statistical mechanics

The notion of wave function of the classical harmonic oscillator is discussed. The evolution equation for this wave function is obtained using the classical Liouville equation for the probability-distribution function of the harmonic oscillator. The tomographic-probability distribution of the classical oscillator is studied. Examples of the ground-like state and the coherent state of the classical harmonic oscillator are considered.     

Strong coupling,charm- and bottom-quark masses from electron-positron annihilation

The cross section for electron-positron annihilation into hadrons allows for a precise determination of the strong coupling constant and the charm- and bottom-quark masses. Recent theoretical and experimental results are presented with emphasis on the energy region accessible by B-meson factories and below.