高剥离类镁等电子序列的磁偶极MI和电四极E2光谱跃迁理论研究

利用全相对论性多组态Dirac-Fock广义平均能级方法,系统地计算了类镁离子3s3p 磁偶极M1 3 P2-3P1 和电四极E2 3 P2-3P0(Z=20～103)光谱跃迁的能级间隔、跃迁几率和振子强度.计算中考虑了原子核的有限体积效应,进行了高阶Breit修正和QED修正,所得到的能级间隔和最近的实验数据及理论计算值进行了比较.计算结果表明高原子序数的高荷电离子的磁偶极矩M1和电四极矩E2跃迁几率和中性原子的电偶极E1的相当,在ICF和MCF高温激光等离子体中,磁偶极矩M1和电四极矩E2跃迁过程不容被忽视.     

高剥离类镁等电子序列的磁偶极M1和电四极E2光谱跃迁理论研究

利用全相对论性多组态Dirac-Fock广义平均能级方法，系统地计算了类镁离子3s3p磁偶极Ml^3P2--^3P1和电四极E2 ^2P2--^3P0(Z=20-103)光谱跃迁的能级间隔、跃迁几率和振子强度。计算中考虑了原子核的有限体积效应，进行了高阶Breit修正和QED修正，所得到的能级间隔和最近的实验数据及理论计算值进行了比较。计算结果表明：高原子序数的高荷电离子的磁偶极矩M1和电四极矩E2跃迁几率和中性原子的电偶极E1的相当，在ICF和MCF高温激光等离子体中，磁偶极矩M1和电四极矩E2跃迁过程不容被忽视。     

类锂离子内壳激发1s2s2 2S态的电离势和Auger跃迁率

采用鞍点变分方法和鞍点复数转动方法,并考虑相对论修正、质量极化效应,计算了类锂等电子系列(Z=10～20) 1s2s2 2S态的电离势、Auger跃迁率和辐射跃迁率.同时还计算了QED效应和高阶相对论修正对电离势的贡献.     

bb体系中的色屏蔽效应

利用含色屏蔽效应的禁闭位,计算了b体系的能谱,轻子衰变宽度和E1跃迁.同时计算了相对论修正对b体系的E1跃迁的影响.     

高剥离类钠离子3s2S—3d2电四极矩E2光谱跃迁的理论计算

 利用全相对论性多组态Dirac-Fock平均能级方法系统地计算了高剥离类钠离子3s²S—3d²D(Z=14～103）电四极矩E2光谱跃迁的能级间隔，跃迁几率和振子强度，计算中考虑了核的有限体积效应，Breit修正和QED修正，所得结果和最近的实验数据及理论计算值进行了比较，计算结果表明：高原子序数的高荷电离子的电四极矩E2光谱跃迁的跃迁几率和中性原子的电偶极E1的相当，在ICF和MCF高温高密度激光等离子体中，电四极矩E2光谱跃迁过程不容被忽视。     

高离化类铍离子2s2 1S0-2s2p 1P1(Z=10～103)光谱跃迁

利用全相对论性多组态Dirac-Fock平均能级(MCDF-AL)方法系统地计算了高离化类铍离子2s2　1S0-2s2p1P1(Z=10～103)跃迁的能级间隔和跃迁几率,计算中考虑了重要的核的有限体积效应,Breit修正和QED修正,所得结果和最近的实验数据及理论计算值进行了比较,结果表明：高原子序数的高荷电离子的跃迁几率明显超过了中性原子的电偶极E1的跃迁几率,在ICF和MCF高温激光等离子体中,电偶极E1跃迁几率过程相当强烈。     

Ni25+离子1s23s-1s2np跃迁的全能域理论研究

用全实加关联方法计算了Ni25+离子1s23s和1s2np (n  9)态的能量.通过引入价电子的有效核电荷,在类氢近似下,估算了对能量的高阶相对论修正和QED修正.计算了该离子1s23s-1s2np的跃迁能,波长和在三种规范下的振子强度.依据量子亏损理论,确定了Rydberg系列1s2np的量子数亏损,据此可以实现对任意高激发态(n  10)的能量的可靠预言;得到该离子从1s23s态到电离阈附近高激发1s2np态间的跃迁振子强度以及到相应连续态跃迁的振子强度密度.     

类镁离子3s2 1S0-3s3p 3P1(Z=14～103)跃迁的相对论多组态研究

利用全相对论性多组态Dirac-Fock平均能级(MCDF-AL)方法系统计算了高剥离类镁离子互组合线3s2 1S0-3s3p 3P1(Z=14～103)光谱跃迁的能级间隔和跃迁几率.计算中考虑了重要核的有限体积效应及Breit修正和QED修正,所得结果和最近的实验数据及理论计算值进行了比较.结果表明,高原子序数的高荷电离子跃迁的互组合线跃迁几率和中性原子的电偶极E1的相当.在ICF和MCF高温高密度激光等离子体中,互组合线跃迁几率过程不容被忽视.     

Be,Mg和Ca原子电四极矩E2~1D—~1S跃迁的能级和跃迁概率

利用多组态DiracFock广义扩展平均能级(MCDFEAL)方法系统地计算了重要的中性原子Be,Mg和Ca单光子电四极矩E21D—1S光谱跃迁的能级间隔和跃迁概率,计算中考虑了重要的核的有限体积效应,Breit修正和QED修正,所得结果和最近的实验数据及理论计算值进行了比较.此外还从理论上预言了Ba和Mg单光子电四极矩E21D—1S光谱跃迁概率过程,在库仑规范中,跃迁概率A(Be)=38849s-1,跃迁概率A(Mg)=23572s-1和跃迁概率A(Ca)=481s-1.     

类锂离子内壳激发1s22s22S态的电离势和Auger跃迁率

采用鞍点变分方法和鞍点复数转动方法,并考虑相对论修正、质量极化效应,计算了类锂等电子系列(Z=10～20) 1s2s2 2S态的电离势、Auger跃迁率和辐射跃迁率． 同时还计算了QED效应和高阶相对论修正对电离势的贡献．     

Introducing atmospheric attenuation within a diffusion model for room-acoustic predictions

This paper presents an extension of a diffusion model for room acoustics to handle the atmospheric attenuation. This phenomenon is critical at high frequencies and in large rooms to obtain correct acoustic predictions. An additional term is introduced in the diffusion equation as well as in the diffusion constant, in order to take the atmospheric attenuation into account. The modified diffusion model is then compared with the statistical theory and a cone-tracing software. Three typical room-acoustic configurations are investigated: a proportionate room, a long room and a flat room. The modified diffusion model agrees well with the statistical theory (when applicable, as in proportionate rooms) and with the cone-tracing software, both in terms of sound pressure levels and reverberation times.     

Two comments on the structure function approximation for deep-inelastic scattering

The mechanism of radiative return to resonance can be effectively used to describe radiative corrections in terms of the Drell-Yan process. The iteration procedure is proposed. It is shown that the y→1 kinematic region can be described in terms of modified structure functions and the Sudakov formfactor, which significantly changes the result obtained both in the lowest order and with allowance for all leading orders of perturbation theory.     

Higher derivative operators in the noncommutative Schwinger model

A study of the noncommutative Schwinger model is presented. It is shown that the Schwinger mass is not modified by the noncommutativity of spacetime till the first nontrivial order in the noncommutative parameter. Instead, a higher derivative kinetic term is dynamically generated by the lowest-order vacuum polarization diagrams. We argue that in the framework of the Seiberg–Witten map the feature of non-unitarity for a field theory with spacetime noncommutativity is characterized by the presence of higher derivative kinetic terms. The θ-expanded version of a unitary theory will not generate the lowest-order higher derivative quadratic terms.     

The Kondo Problem as the Quantum Sine-Gordon Model

The ground-state properties of the Kondo Hamiltonian is analyzed in detail and we find the problem to be exactly equivalent to a modified quantum sine-Gordon model. Paralleling to the renormalization-group theory of the sine-Gordon model, we easily derive the correct next-to-leading order flow equations and obtain a universal quantity in a linear combination of the coefficients of the higher-order terms.     

Landau theory of charge and spin ordering in the nickelates

Guided by experiment and band structure, we introduce and study a phenomenological Landau theory for the unusual charge and spin ordering associated with the Mott transition in the perovskite nickelates, with chemical formula RNiO3, where R=Pr, Nd,Sm, Eu, Ho, Y, and Lu. While the Landau theory has general applicability, we show that for the most conducting materials, R=Pr, Nd, both types of order can be understood in terms of a nearly nested spin-density wave. Furthermore, we argue that in this regime, the charge ordering is reliant upon the orthorhombic symmetry of the sample, and therefore proportional to the magnitude of the orthorhombic distortion. The first order nature of the phase transitions is also explained. We briefly show by example how the theory is readily adapted to modified geometries such as nickelate films.     

The multiple scattering theory of phonons in mass disordered lattices

A version of the multiple scattering theory previously applied to the electronic problem of substitutional alloys is completed and modified in order to handle the problem of vibrations of general mass-disordered crystal lattices. The Born series is expressed in terms describing the scattering corrections to the appropriate effective medium. A new physical interpretation of the effective medium condition is given and the total partial summation of the Born series for the full scattering T-matrix is completed to the infinite order. The T-matrix is thus re-expressed in terms corresponding to resonant “ping-pong” scattering of renormalized phonons on all possible clusters of scattering centres. Confining to clusters of only limited number of scattering centres yields a set of successive approximations. The one-centre approximation for cubic crystals complies with the Taylor's selfconsistent procedure. A simple illustrative example in the two-centre approximation is solved and discussed.     

The contribution of theC-field to the action functional

It is shown that the action of the usual field theory requires the inclusion of two terms in order to be equivalent, in the macroscopic case, to the action proposed by Hoyle & Narlikar (1964c). These actions correspond only to a modified form of Maxwell's equations, which, in consequence, lose their property of conformal invariance. It is also demonstrated how theC-field and electromagnetic field can be brought into unison by an appropriate re-definition of the vector potential. Both field theories can thus be described in terms of one vector Green's function.     

Physical optics theory for the scattering of waves by an impedance strip

The physical optics integral of the scattered waves by an impedance strip is derived by using the modified theory of physical optics. The surface currents of the physical optics integral, which was introduced for the scattered waves by an impedance half-plane, are taken into account. The uniform diffracted fields of the impedance strip are evaluated asymptotically. The second order diffraction terms are also obtained. The total scattered field and its subcomponents are plotted and the effect of the second order diffraction and strip width to the scattering is investigated numerically.     

Extension of the local curvature approximation to third order and improved tilt invariance

The second-order local curvature approximation (LCA2) is a theory of rough surface scattering that reproduces fundamental low and high frequency limits in a tilted frame of reference. Although the existing LCA2 model provides agreement with the first order small perturbation method up to the first order in surface tilt, results reported in this paper produce a new formulation of the model that achieves consistency with perturbation theory to first order in surface height and arbitrary order in surface tilt. In addition, extension of the modified LCA to third order is presented, and allows the theory to match the second-order small perturbation method to arbitrary order in surface tilt. Crucial to the development of the theory are a set of identities involving relationships among the small perturbation method (i.e. low frequency) and Kirchhoff approximation (i.e. high frequency) kernels; a set of new identities obtained in our derivations is also presented. Sample results involving 3D electromagnetic scattering from penetrable rough surfaces, as well as 2D scattering from Dirichlet sinusoidal gratings, are provided to compare the new results with the existing LCA2 model and with other rough surface scattering theories.