q变形光场与两能级原子相互作用中场的位相特性

用变形Ｐｅｇｇ－Ｂａｒｎｅｔｔ位相理论研究了在共振情况下变形Ｊａｙｎｅｓ－Ｃｕｍｍｉｎｇｓ（Ｊ－Ｃ）框或场的位相特性。讨论了ｑ变形参量对场位相统计和动力学性质 影响。     

q形变偶相干光场与Ξ型三能级原子相互作用中场的压缩效应

建立了q形变偶相干场与Ξ型三能级原子相互作用的非线性理论,求得了在相互作用表象中薛定谔方程的形式解及其在该形态下的期望值。数值计算结果表明,q形变对相互作用中场压缩效应有着很强的调制能力,这是q形变非线性行为对量子相干性干扰以及对量子特性影响的内在反映。当q→1时,恢复为普通的偶相干光场线性理论。     

Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes

In this article we study the quantization of a free real scalar field on a class of noncommutative manifolds, obtained via formal deformation quantization using triangular Drinfel’d twists. We construct deformed quadratic action functionals and compute the corresponding equation of motion operators. The Green’s operators and the fundamental solution of the deformed equation of motion are obtained in terms of formal power series. It is shown that, using the deformed fundamental solution, we can define deformed *-algebras of field observables, which in general depend on the spacetime deformation parameter. This dependence is absent in the special case of Killing deformations, which include in particular the Moyal-Weyl deformation of the Minkowski spacetime.     

q形变偶相干光场与[I]型三能级原子相互作用中场的压缩效应

建立了q形变偶相干场与[I]型三能级原子相互作用的非线性理论,求得了在相互作用表象中薛定谔方程的形式解及其在该形态下的期望值.数值计算结果表明,q形变对相互作用中场压缩效应有着很强的调制能力,这是q形变非线性行为对量子相干性干扰以及对量子特性影响的内在反映.当q→1时,恢复为普通的偶相干光场线性理论.     

QFT on homothetic Killing twist deformed curved spacetimes

We study the quantum field theory (QFT) of a free, real, massless and curvature coupled scalar field on self-similar symmetric spacetimes, which are deformed by an abelian Drinfel’d twist constructed from a Killing and a homothetic Killing vector field. In contrast to deformations solely by Killing vector fields, such as the Moyal-Weyl Minkowski spacetime, the equation of motion and Green’s operators are deformed. We show that there is a *-algebra isomorphism between the QFT on the deformed and the formal power series extension of the QFT on the undeformed spacetime. We study the convergent implementation of our deformations for toy-models. For these models it is found that there is a *-isomorphism between the deformed Weyl algebra and a reduced undeformed Weyl algebra, where certain strongly localized observables are excluded. Thus, our models realize the intuitive physical picture that noncommutative geometry prevents arbitrary localization in spacetime.     

Fractals and chaos in cancer models

We argue that tumor growth, considered as a dynamical system, is chaotic. Chaotic models are proposed which fit the observations well. Some of these models treat the tumor as a fractal.On leave of absence from Mathematics Department, Faculty of Science, Mansoura, Egypt.     

Deformed fields and Moyal construction of deformed super Virasoro algebra

Studied is the deformation of super Virasoro algebra proposed by Belov and Chaltikian. Starting from abstract realizations in terms of the FFZ type generators, various connections of them to other realizations are shown, especially to deformed field representations, whose bosonic part generator is recently reported as a deformed string theory on a noncommutative world-sheet. The deformed Virasoro generators can also be expressed in terms of ordinary free fields in a highly nontrivial way.     

Splitting of the giant dipole resonance in deformed metal clusters

The photoabsorption in small deformed metal clusters is considered. The valence electron spill-out is disregarded. It is shown that in the deformed clusters the giant dipole resonance splits into two separate resonances. This splitting is due to the difference of the oscillator frequencies for the electron motion in the effective field of the deformed clusters. The ratio of the cross-sections in the resonance maxima is obtained. The theoretical results are compared with the experimental data.     

云纹干涉法在线复制变形光栅技术研究

介绍了一种云纹干涉法现场转移高密度光栅的新工艺，将现场转移光栅与实验室测量有机结合起来，同时得到物体变形的面内U、V位移场。从理论上分析讨论该方法的可行性及误差。通过实验验证该方法与传统云纹干涉法具有相同的灵敏度和量程，使云纹干涉法应用范围更加广泛。     

Pair-Aligned Intrinsic States in Many-j Configurations

With the aid of a pair aligned model in many-j configurations and the Hamiltonian including monopole, quadrupole-pair forces and the quadrupole deformed field, the intrinsic states of deformed nuclei are determined by a variational method. The quadrupole moment is calculated and the effect of deformation on the intrinsic states is investigated. The results show that angular momentum (J=0,2,4) nucleon-pairs are dominant in the intrinsic states, so that, s, d, g bosons must be used in the study of deformed nuclei.     

q变形算符aN的本征态的结构及其高阶压缩性质

证明了高阶振幅压缩的概念可以应用于q变形代数的光场。q变形算符aN 的正交归一本征态的压缩特点由这些态的内部奇偶结构决定。破坏这种奇偶结构将得到具有新压缩特点的光场。     

Experimental research on spatial filtering of deformed laser beam by transmitting volume Bragg grating

Using transmitting volume Bragg gratings (TVBG) as a basis,an experiment on one-dimensional spatial filtering of a deformed laser beam is designed.The deformed laser beam results from a He-Ne laser beam modulated by an amplitude modulation plate with a spatial frequency of 7.2 mm·1.Results show that when the central wave vector of the deformed beam satisfies the Bragg law of TVBG,the spatial profile of the -1st forward-diffracted order is similar to that of the undeformed He-Ne laser beam due to the TVBG with a spatial frequency selective bandwidth of less than 5.0 mm·1.The higher frequency components of the deformed beam are filtered out in the optical near field.Thus,the TVBG cleanup of the spatiallydeformed laser beam is realized experimentally.     

Symmetries of a nonassociative octonion field

Nonassociativity is studied in the presence of a symmetry group. The parameters of the Lorentz group as the group of motions of the 4-dimensional space-time are shown to remain associative, Nonassociativity appears on the level of representations of the Lorentz group. Infinitesimally, irreducible representations of the Lorentz group can be used in describing nonassociative spinors. Two types of solutions of the octonion spinor equation are studied. It is shown that these solutions can be transformed into one another only if the associator is broken according to ¦A¦=1. In addition, a new mechanism for generating electromagnetic moments of particles is discussed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 102–106, November, 1991.     

A theoretical study of the magnetically deformed inner crust matter of magnetars

We have studied various physical properties of magnetically deformed atoms and the associated matter, replacing the atoms by the deformed Wigner-Seitz (WS) cells at the crustal region of strongly magnetized neutron stars (magnetars). A relativistic version of the Thomas-Fermi (TF) model in the presence of a strong magnetic field in cylindrical coordinates is used to study the properties of such matter.     

Deformed conformal and super-Poincaré symmetries in the non- (anti-) commutative spaces

Generators of the super-Poincaré algebra in the non- (anti-) commutative superspace are represented using appropriate higher derivative operators defined in this quantum superspace. Also discussed are the analogous representations of the conformal and superconformal symmetry generators in the deformed spaces. This construction is obtained by generalizing the recent work of Wess et al. on the Poincaré generators in the θ-deformed Minkowski space, or by using the substitution rules we derived on the basis of the phase-space structures of non- (anti-) commutative-space variables. Even with the non-zero deformation parameters the algebras remain unchanged although the comultiplication rules are deformed. The transformation of the fields under deformed symmetry is also discussed. Our construction can be used for systematic development of field theories in the deformed spaces.     

Gauge Field Localization on Deformed Branes

In this paper, we utilise the Chumbes-Holf da Silva-Hott (CHH) mechanism to investigate the issue of gauge field localization on a deformed brane constructed with one scalar field, which can be coupled to gravity minimally or non-minimally. The study of deformed defects is important because they contain internal structures which may have implications in braneworld models. With the CHH mechanism, we find that the massless zero mode of gauge field, in the case of minimal or non-minimal coupling is localized on the brane. Moreover, in the case of non-minimal coupling, it is shown that, when the non-minimal coupling constant is larger than its critical value, then the zero mode is localized on each sub brane.     

Anisotropic laser trapping in nematic colloidal dispersion

The interaction between a colloidal particle and a focused laser beam in a nematic liquid crystal reveals an unusual anisotropic Coulomb-like character. Experiments demonstrate two opposite directions in which the particle is attracted to and repelled from the nematic region deformed by the light-induced director reorientation. In this work we present analytical analysis of such behavior and derive the energy of interaction between colloidal particle and deformed director field. The analytical solution is in good agreement with recent results obtained by computer simulation.     

折叠波导行波管切断匹配的设计

 利用电磁模拟软件,计算得到了H面渐变与E面渐变的楔形衰减器匹配效果,指出在相同渐变长度下,E面渐变匹配效果优于H面渐变。H面渐变衰减器反射主要来源于电场集中处,而E面渐变衰减器主要来源于渐变前部尖端处。在此基础上设计出了一种变形的匹配衰减器,即在E面渐变衰减器渐变开始处向前延伸一块薄片。计算结果与测试结果表明:与H面渐变和E面渐变的楔形衰减器相比,所设计衰减器在近截止频率处的匹配效果得到了明显的改善。     

On the Equivalence of Two Deformation Schemes in Quantum Field Theory

Two recent deformation schemes for quantum field theories on two-dimensional Minkowski space, making use of deformed field operators and Longo–Witten endomorphisms, respectively, are shown to be equivalent.     

Gauge theories on the $\kappa$-Minkowski spacetime

This study of gauge field theories on -deformed Minkowski spacetime extends previous work on field theories on this example of a non-commutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the concept of enveloping algebra-valued gauge transformations and the Seiberg-Witten formalism. Derivative-valued gauge fields lead to field strength tensors as the sum of curvature- and torsion-like terms. We construct the Lagrangians explicitly to first order in the deformation parameter. This is the first example of a gauge theory that possesses a deformed Lorentz covariance.Received: 17 December 2003, Revised: 6 May 2004, Published online: 23 June 2004