共查询到20条相似文献,搜索用时 572 毫秒
1.
Ritter的图像代数定义的三种基本的图像与模板间操作可以表达多种图像变换。本文通过加权、位移和叠加等三层图像操作统一实现这三种模板操作,并设计了一个双层光电混合结构:在多重成像-阈值操作层中,采用一种空间线性光强编码方法编码输入图像,以实现两种加权计算。 相似文献
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从推广的Yang-Baxter关系“RLL=LLR”出发,利用高秩高斯分解,得到了动力学椭圆代数Aq,p,π(gln^)及其对应的Drinfeld流,其中R,R^*是A(1)n-1面模型对应的谱参数有一关于代数中心平移的动力学R矩阵。 相似文献
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分析比较了庞加莱代数在数学家的约定和物理学家的两种约定等三种常用符号约定下的不同形式,在确定符号的过程中用到了无穷维表示和群表示方法等两种较为简便的推导方法,给出了不同符号约定之间的比较和转换关系. 相似文献
4.
在中学阶段,物理量有标量和矢量2种类型,数学量有算术量、代数量和向量3种类型.它们之间既相互联系,又相互区别.弄清它们之间的关系与区别,对于深刻理解各种类型物理量的运算大有益处。 相似文献
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本文指出满足Serre关系的某些SLq(2/1)的生成元,可以认作是SLq(2)的1/2阶张量算符,它们的约化矩阵可以通过一组递推公式算出.因此,SLq(2/1)的不可约表示可以完全被决定. 相似文献
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本文利用三参数李群求代数表示的方法求出多项式角动量代数的代数表示及其酉表示,找到一个能同时承载李代数及相对应的多项式角动量代数的基底,并在该基底下求出两种代数之间的联系,利用该联系则也可求出多项式角动量代数的代数表示.最后求出多项式角动量代数的单玻色实现及其在有限维多项式函数空间的微分实现.
关键词:
多项式角动量代数
Higgs代数
su(2)代数 相似文献
11.
《Physica A》2006,371(2):303-316
Fractional oscillator process can be obtained as the solution to the fractional Langevin equation. There exist two types of fractional oscillator processes, based on the choice of fractional integro-differential operators (namely Weyl and Riemann-Liouville). An operator identity for the fractional differential operators associated with the fractional oscillators is derived; it allows the solution of fractional Langevin equations to be obtained by simple inversion. The relationship between these two fractional oscillator processes is studied. The operator identity also plays an important role in the derivation of the path integral representation of the fractional oscillator processes. Relevant quantities such as two-point and n-point functions can be calculated from the generating functions. 相似文献
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《Physica D: Nonlinear Phenomena》2005,200(1-2):47-59
We present renormalization group operators for the breakup of invariant tori with winding numbers that are quadratic irrationals. We find the simple fixed points of these operators and interpret the map pairs with critical invariant tori as critical fixed points. Coordinate transformations on the space of maps relate these fixed points, and also induce conjugacies between the corresponding operators. 相似文献
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A. Dynin 《Russian Journal of Mathematical Physics》2014,21(3):326-328
Theorem 4.1 of the author’s paper “Quantum Yang-Mills-Weyl dynamics in the Schroedinger paradigm”, RJMP 21 (2), 169–188 (2014) claims the relative ellipticity of cutoff Yang-Mills quantum energy-mass operators in von Neumann algebras with regular traces. This implies that the spectra of cutoff self-adjoint Yang-Mills energy-mass operators in a nonperturbative quantum Yang-Mills theory (with an arbitrary compact simple gauge group) are nonnegative sequences of the eigenvalues converging to +∞. The spectra are self-similar in the inverse proportion to the running coupling constant. In particular, they have self-similar positive spectral mass gaps. Presumably, this is a solution of the Yang-Mills Millennium problem. The present note shows that the fundamental spectral value of a cutoff quantum Yang-Mills energy-mass operator is the simple zero eigenvalue with the vacuum eigenvector. The direct proof (without von Neumann algebras) is based on the domination over the number operator (with simple fundamental eigenvalue) and the standard spectral variational principle. 相似文献
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《Physics letters. A》1998,245(5):345-357
Quadratic fluctuations require an evaluation of ratios of functional determinants of second-order differential operators. We relate these ratios to the Green functions of the operators for Dirichlet, periodic and antiperiodic boundary conditions on a line segment. This permits us to take advantage of Wronski's construction method for Green functions without knowledge of eigenvalues. Our final formula expresses the ratios of functional determinants in terms of an ordinary 2 × 2 determinant of a constant matrix constructed from two linearly independent solutions of the homogeneous differential equations associated with the second-order differential operators. For ratios of determinants encountered in semiclassical fluctuations around a classical solution, the result can further be expressed in terms of this classical solution. In the presence of a zero mode, our method allows for a simple universal regularization of the functional determinants. For Dirichlet's boundary condition, our result is equivalent to Gelfand-Yaglom's. Explicit formulas are given for a harmonic oscillator with an arbitrary time-dependent frequency. 相似文献
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A simple dynamic procedure, based on the deformed Hartree-Fock solution of a nucleus, is presented to construct the IBM operators
in microscopic basis. The parameters of these operators are evaluated by establishing a Marumori mapping from the truncated
shell model space onto the boson space. The transitions from spherical to axial-rotor shape observed in the low-lying levels
ofeven
96–108Mo and146–154Sm isotopes are reproduced qualitatively by applying this procedure with a fixed set of fermion input parameters to each chain.
Variation of a few parameters in fermion space leads to quantitative agreement. 相似文献
17.
Keivan Aghababaei Samani 《Reports on Mathematical Physics》2003,52(3):373-379
In this article we introduce a simple physical model which realizes the algebra of orthofermions. The model is constructed from a cylinder which can be filled with some balls. The creation and annihilation operators of orthofermions are related to the creation and annihilation operators of balls in certain positions in the cylinder. Relationship between this model and topological symmetries in quantum mechanics is investigated. 相似文献
18.
E. Korotyaev 《Russian Journal of Mathematical Physics》2006,13(1):64-69
We construct a real analytic isomorphism between periodic Jacobi operators and the spectral data formed by the gap lengths,
the distances between the Dirichlet eigenvalues and the center of the corresponding gap, and some signs. This proves the uniqueness
of the solution of the inverse problem and gives a characterization of the solution. Moreover, two-sided a priori estimates of periodic Jacobi operators in terms of gap lengths are obtained.
Dedicated to the memory of B. M. Levitan 相似文献
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Denis A. W. White 《Letters in Mathematical Physics》1986,11(2):121-126
Scattering of a quantum mechanical particle by a long-range potential is studied using Enss's time-dependent method. More precisely, a simple and natural extension of the Enss method to a two Hilbert space setting is established. Applied to the consideration of long-range scattering, this extended Enss method reduces the problem of proving existence and completeness of the wave operators to the problem of solving an eikonal equation on a cone in phase space. Relying on a solution of the eikonal equation constructed by Isozaki and Kitada, it is shown that the wave operators exist and are complete whenever the potential is in the long-range class introduced by Hörmander. 相似文献
20.
The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras. New families of pseudo-differential equations are proposed, and a link between specific generalised eigenvalue problems for these equations and the Bethe ansatz is deduced. The pseudo-differential operators resemble in form the Miura-transformed Lax operators studied in work on generalised KdV equations, classical W-algebras and, more recently, in the context of the geometric Langlands correspondence. Negative-dimension and boundary-condition dualities are also observed. 相似文献