Relativistic spin-zero bosons in a Som–Raychaudhuri space–time

We investigate the Duffin–Kemmer–Petiau equation for spin-zero bosons in a (\(3+1\))-dimensional Som–Raychaudhuri space–time. We establish the covariant Duffin–Kemmer–Petiau equation in this curved space–time for the so-called oscillator and we include interaction with a scalar potential. We determine eigenfunctions and the corresponding eigenvalues for the oscillator with the Cornell potential. We investigate the effect of the space–time’s parameters, oscillator’s frequency and the Cornell potential’s parameters on the wave functions.     

An Algebraic Approach to the Kemmer Equation for Dirac Oscillator

We present energy eigenvalues and corresponding eigenfunction of the relativistic Kemmer equation for Dirac oscillator. The associated ladder operators being established, it is shown that these operators satisfy the commutation relation of the su(1,1) group. A suitable representation of this group is presented and analytical matrix elements of some functions are obtained.     

Exact solutions of the Kemmer equation for a Dirac oscillator

Exact solutions of Kemmer equation for charged, massive, spin-1 particles in the Dirac oscillator potential have been found. The eigensolutions of this potential have been calculated and discussed in both natural and unnatural parities.     

The generalized Coulomb interactions for relativistic scalar bosons

Approximate analytical solutions of Duffin–Kemmer–Petiau (DKP) equation are obtained for the truncated Coulomb, generalized Cornell, Richardson and Song–Lin potentials via the quasi-exact analytical ansatz approach.     

The Aharonov–Casher effect for spin-1 particles in non-commutative quantum mechanics

By using a generalized Bopp’s shift formulation, instead of the star product method, we investigate the Aharonov–Casher (AC) effect for a spin-1 neutral particle in non-commutative (NC) quantum mechanics. After solving the Kemmer equations both on a non-commutative space and a non-commutative phase space, we obtain the corrections to the topological phase of the AC effect for a spin-1 neutral particle both on a NC space and a NC phase space. PACS 02.40.Gh, 11.10.Nx, 03.65.-w     

基于Kramers逃逸速率的Duffing振子广义调参随机共振研究

以二维Duffing振子的随机共振为研究对象,提出Duffing振子的广义调参随机共振. 以Kramers逃逸速率为基础,建立了Duffing振子随机共振的判别函数,阐述了Duffing振子在不同噪声强度及信号频率输入条件下的广义调参随机共振规律,并给出了Duffing振子广义调参随机共振的一般方法. 关键词： Duffing振子 随机共振 Kramers逃逸速率 广义参数调节     

Six-dimensional formulation of meson equations

The structure of the conformal group is studied by a generalisation of quaternion methods to six dimensions. Some simpleSO(4,2) covariant equations are shown to correspond to the Kemmer formulation for pseudoscalar and vector mesons, and the matrix elements of the irreducible representations of the Kemmer algebra are expressed as traces of products of Dirac matrices.     

Aharonov–Casher effect for spin-1 particles in a non-commutative space

In this work, the Aharonov–Casher (AC) phase is calculated for spin-1 particles in a non-commutative space. The AC phase has previously been calculated from the Dirac equation in a non-commutative space using a gauge-like technique. In the spin-1 case, we use the Kemmer equation to calculate the phase in a similar manner. It is shown that the holonomy receives non-trivial kinematical corrections. By comparing the new result with the already known spin-1/2 case, one may conjecture a generalized formula for the corrections to holonomy for higher spins. PACS 02.40.Gh; 03.65.Pm     

氮气在100 eV以下的绝对振子强度密度

在入射电子能量为2500 eV、能量分辨为100 meV的条件下，得到了氮气在100 eV以下的绝对光学振子强度密度和广义振子强度密度；得到了23 eV和31.4 eV两个超激发态的绝对广义振子强度、并讨论了它们的动量转移依赖特性。     

Higher-Order Wave Equation Within the Duffin–Kemmer–Petiau Formalism

Russian Physics Journal - Within the framework of the Duffin–Kemmer–Petiau (DKP) formalism a consistent approach to derivation of the third-order wave equation is suggested. For this...     

Oscillator Algebra With Reflecting Boundary and Generalized Statistics

The oscillator algebra with reflecting boundary is constructed together with its Fock space,and is generalized to the cases with generalized statistics and multicomponent.Such oscillators depend manifestly on the reflection factor and the statistical(exchange)factor.By construction,the Fock space of such oscillator algebras can be obtained by certain projection operation.from that of the usual bosonic oscillator without reflection condition.     

q变形非简谐振子奇偶广义相干态的高阶压缩效应及反聚束效应

研究了q变形非简谐振子奇偶广义相干态的高阶压缩效应和反聚束效应,并就q变量[χ]的两种不同表示情况进行了讨论.数值计算结果表明,q变形非简谐振子奇偶广义相干态均可呈现奇次方阶压缩效应和反聚束效应,这与谐振子情况的光学统计特性是不同的.     

AIM Solutions to the DKP Equation for Spin-1 Particles in the Presence of Kratzer Potential in (2+1) Dimensions

The relativistic Duffin–Kemmer–Petiau equation for spin-1 particles in the presence of the Kratzer potential is studied analytically within the framework of the asymptotic iteration method. The exact energy eigenvalues and corresponding eigenfunctions of spin-1 particles are obtained for arbitrary quantum states by solving the Duffin–Kemmer–Petiau equation with Kratzer potential.     

Kemmer algebras and rotation groups

Some previous results indicating a connection between the Kemmer formulation of meson theory and the group of rotations in six dimensions are generalised. A correspondence between the irreducible representations of the Kemmer algebraK _N and the skewsymmetric tensor representations of rotations inN+1 dimensions is established.     

加性和乘性泊松白噪声联合激励下光滑非连续振子的随机响应

利用广义胞映射方法,研究了加性和乘性泊松白噪声联合作用下SD振子(smooth and discontinuous oscillator)的随机响应问题.基于图分析算法,获得确定SD振子的吸引子、吸引域、域边界、鞍和不变流形等全局特性.基于矩阵分析算法,计算了SD振子在泊松白噪声激励下的瞬态和稳态响应.结果表明:随机响应的概率密度函数演化方向和确定情况下的不稳定流形形状之间存在密切联系.蒙特卡罗模拟结果表明,所使用的方法是有效且准确的.     

Integral cross sections for electron impact excitations of argon and carbon dioxide

Electron-impact excitation integral cross sections play an important role in understanding the energy transfer processes in many applied physics. Practical applications require integral cross sections in a wide collision energy range from the excitation threshold to several keV. The recently developed BE-scaling method is able to meet the demands of integral cross sections for dipole-allowed transitions while the prerequisite relies on the accurate generalized oscillator strengths. Fast electron and x-ray scatterings are the conventional experimental techniques to approach the generalized oscillator strengths, and the joint study by both methods can provide credible cross-checks. The validated generalized oscillator strengths can then be used to extrapolate optical oscillator strengths by fitting the data with the Lassettre formula. The fitted curve also enables the integration of generalized oscillator strengths over the whole momentum transfer region to obtain the BE-scaled integral excitation cross sections. Here, experimental measurements by both fast electron and x-ray scattering of argon and carbon dioxide are reviewed. The integral cross sections for some low-lying states are derived from the cross-checked generalized oscillator strengths for the first time. The integral cross sections presented in this paper are openly available at https://doi.org/10.11922/sciencedb.01466.     

等电子系列离子的广义振子强度密度之标度关系

利用Born近似可以计算高能电子与原子或离子碰撞激发的微分截面和总截面。微分截面正比于广义振子强度。电子碰撞过程可将靶原子或离子激发到无数个束缚态以及相应的连续态。量子亏损理论能够统一处理这些激发态;因此可定义广义振子强度密度——即每单位激发能内的广义振子强度。我们计算了Li的等电子系列Li,Be⁺,B⁺⁺,C³⁺,Ne⁷⁺,Na⁸⁺,K¹⁶⁺等从基态到S,P,D,F通道的激发的广义振子强度密度,总结了类Li等电子系列离子的广义振子强度密度的标度关系。 关键词：     

Quantum phases for a generalized harmonic oscillator

An effective Hamiltonian for the generalized harmonic oscillator is determined by using squeezed state wavefunctions. The equations of motion over an extended phase space are determined and then solved perturbatively for a specific choice of the oscillator parameters. These results are used to calculate the dynamic and geometric phases for the generalized oscillator with this choice of parameters.      

Studies on the 3D confined potentials using generalized pseudospectral approach

In presence of the spherically confined three-dimensional potentials with impenetrable boundaries, the generalized pseudospectral method is shown to provide accurate eigenvalues, eigenfunctions, and radial expectation values for (a) the isotropic harmonic oscillator, (b) the H atom and (c) the Davidson oscillator. Several novel degeneracy conditions are obtained for (a) when the radius of confinement is suitably chosen at the radial nodes corresponding to the free states.