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Aspects of Density Functional Resonance Theory (DFRT) [Phys. Rev. Lett. \textbf{107}, 163002 (2011)], a recently developed complex-scaled version of ground-state Density Functional Theory (DFT), are s...
Abstract: Starting from one-range addition theorems for Slater-type functions, which are expansion in terms of complete and orthonormal functions based on the generalized Laguerre polynomials, Guseino...
Let $R$ be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over $R$ to be a polynomial function. Before this paper, necessary a...
ON CONSTRUCTING THE NATURAL EXPONENTIAL FAMILIES WITH POLYNOMIAL VARIANCE FUNCTIONS           font style='font-size:12px;'> 2007/8/7
In this paper, we discuss the regular exponential family(REF), a natural exponentialfamily with minimum dimension and with the mean function m=E_θX taken as a new parameter. We point out the importanc...
Entire functions sharing one value CM with their linear differential polynomials           font style='font-size:12px;'> 2007/7/28
期刊信息 篇名 Entire functions sharing one value CM with their linear differential polynomials 语种 英文 撰写或编译 撰写 作者 Chen Zong-Xuan,Shon Kwang Ho and Yang Chung-Chun 第一作者单位 华南师范大学, 釜山大学(韩国), 香港科技大学 刊物名称 Southea...
The authors explore aging in a general semi-Markov process with arbitrary waiting time distributions and discuss the role of trapping phenomenon in glasses in determining the waiting time distribution...
Classical Divergence of Nonlinear Response Functions     Classical Divergence  Nonlinear Response Functions       font style='font-size:12px;'> 2014/9/24
The time divergence of classical nonlinear response functions reveals the fundamental difficulty of dynamic perturbation based on classical mechanics. The nature of the divergence is established for s...
Time-divergence in linear and nonlinear classical response functions can be removed by taking a phase-space average within the quantized uncertainty volume O(\ n) around the microcanonical energy sur...
A simple method to determine mode-coupling memory functions in generalized Langevin equations is obtained by explicitly expressing the random force of the slow hydrodynamic modes in terms of pair inte...
The algebraic structure of the quantum Morse oscillator is explored to formulate the coherent state,the phase-space representations of the annihilation and creation operators, and their classical limi...
The statistics of single molecule blinking events often reveal underlying quantum mechanisms. The golden rule rate expression for quantum transitions is shown to be the inverse of the mean waiting tim...
Semiclassical approximations for quantum time correlation functions are presented for both electronically adiabatic and nonadiabatic dynamics along with discussions of the operator ordering and the cl...
A theory for time correlation functions in liquids     time correlation functions  liquids       font style='font-size:12px;'> 2014/9/24
A theory for time correlation functions in liquids is developed based on the optimized quadratic approximation for liquid state potential energy functions. The latter approximation leads to the rigoro...
A new perspective on quantum time correlation functions     quantum time correlation  functions       font style='font-size:12px;'> 2014/9/24
A theoretical analysis suggests that the path centroid variable in Feynman path integration occupies a central role in the behavior of the real time position autocorrelation function. Based on this an...

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