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The Fourier U(2) Group and Separation of Discrete Variables
discrete coordinates Fourier U(2) group Cartesian pixellation polar pixellation
2011/9/9
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4;<), whose maximal compact subgroup is the Fourier group
U(2)F; this includes isotropic and anis...
A generalized model for Yang-Fourier transforms in fractal space
local fractional calculus Yang-Fourier transforms fractal
2011/7/26
Abstract: Yang-Fourier transform is derived from local fractional calculus. This paper presents a generalized model for Yang-Fourier transform in fractal space and some results are investigated in det...
The su(2)_α Hahn oscillator and a discrete Hahn-Fourier transform
su(2)_α Hahn oscillator discrete Hahn-Fourier High Energy Physics
2011/7/25
Abstract: We define the quadratic algebra su(2)_{\alpha} which is a one-parameter deformation of the Lie algebra su(2) extended by a parity operator. The odd-dimensional representations of su(2) (with...
The Fourier U(2) Group and Separation of Discrete Variables
Optics Fourier U(2) Group Separation of Discrete Variables
2011/7/25
Abstract: The linear canonical transformations of geometric optics on two-dimensional screens form the group $Sp(4,R)$, whose maximal compact subgroup is the Fourier group $U(2)_F$; this includes isot...
We derive Fourier's law for a completely coherent quantum system coupled locally to two heat baths at different temperatures. We solve the master equation to first order in the temperature difference....
A Fourier analytic approach to the problem of mutually unbiased bases
Mutually unbiased bases complex Hadamard matrices difference sets Delsarte’s method
2010/10/19
We give an entirely new approach to the problem of mutually unbiased bases (MUBs), based on a Fourier analytic technique in additive combinatorics. The method provides a short and elegant generalizati...
A Stochastic Iterative Amplitude Adjusted Fourier Transform algorithm with improved accuracy
AStochastic Iterative Amplitude Fourier Transform algorithm improved accuracy
2009/11/9
A stochastic version of the Iterative Amplitude Adjusted Fourier Transform (IAAFT) algorithm is presented. This algorithm is able to generate so-called surrogate time series, which have the amplitude ...
应用似然函数比以及Fourier变换计算置信度的解析方法
置信度 Fourier变换 似然函数比 估计值
2009/7/20
新粒子寻找的实验结果要通过计算置信度来解释,置信度的定义或是基于新粒子与本底并存的假设,或是基于唯有本底存在的假设.通常的计算方法是产生大量的toy Monte Carlo实验,这些实验按照某种定义的估计值的大小以顺序排列,然后将真正观测到的实验的估计值与之相比较,从而得到置信度.本文则介绍一种新的计算方法,通过定义似然函数比为实验的估计值,并应用Fourier变换,用解析的方法计算出置信度,与t...
A New Expression of the Fractional Fourier Transformation
su(2) algebra the fractional Fourier transformation
squeezed state Wigner operator
2007/8/15
2001Vol.36No.4pp.399-400DOI:
A New Expression of the Fractional Fourier Transformation
YU Zu-Rong
Department of Applied Physics, Shanghai Jiao Tong University,
Shanghai ...
Quantum Discrete Fourier Transform in an Ion Trap System
quantum discrete Fourier transform quantum computation ion trap
2007/8/15
2007Vol.47No.6pp.1049-1052DOI:
Quantum Discrete Fourier Transform in an Ion Trap System
ZHENG Shi-Biao
Department of Electronic Science and Applied Physics, Fuzhou
Unive...
Entangled Fractional Fourier Transform for the
Multipartite Entangled State Representation
entangled fractional Fourier transformation multipartite entangled state
2007/8/15
2006Vol.45No.6pp.1097-1101DOI:
Entangled Fractional Fourier Transform for the
Multipartite Entangled State Representation
QIAN Xiao-Qing and SONG Tong-Qiang
Department o...
On the Entangled Fractional Fourier Transform in Tripartite Entangled State Representation
entangled fractional Fourier transform entangled state eigenmodes
2007/8/15
2003Vol.40No.1pp.39-44DOI:
On the Entangled Fractional Fourier Transform in Tripartite Entangled State Representation
FAN Hong-Yi and JIANG Nian-Quan
Department of Mater...
Fractional Fourier Transformation for Quantum Mechanical Wave Functions
Studied by Virtue of IWOP Technique
fractional Fourier transformation
IWOP technique Weyl ordering
2007/8/15
2003Vol.39No.4pp.417-420DOI:
Fractional Fourier Transformation for Quantum Mechanical Wave Functions
Studied by Virtue of IWOP Technique
FAN Hong-Yi1,2 and FAN Yue2
1 D...
New Eigenmodes of Propagation in Quadratic Graded Index Media and
Complex Fractional Fourier Transform
complex fractional Fourier transform two-mode Hermite polynomials
2007/8/15
2003Vol.39No.1pp.97-100DOI:
New Eigenmodes of Propagation in Quadratic Graded Index Media and
Complex Fractional Fourier Transform
FAN Hong-Yi1,2 and FAN Yue2
1 Departme...
On the Evaluation Overlap Integrals with the Same and Different
Screening Parameters Over Slater Type Orbitals via the Fourier-Transform
Method
overlap integrals Gegenbauer polynomials slater type orbitals
2007/8/15
2005Vol.43No.1pp.151-158DOI:
On the Evaluation Overlap Integrals with the Same and Different
Screening Parameters Over Slater Type Orbitals via the Fourier-Transform
Method
M. Yav...