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Density Functional Resonance Theory: complex density functions, convergence, orbital energies, and functionals
Density Functional Resonance Theory complex density functions convergence orbital energies functionals
2012/2/29
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...
On the Mathematical Nature of Guseinov's Rearranged One-Range Addition Theorems for Slater-Type Functions
Slater-type function Addition theorem Laguerre expansion Power series
2011/8/18
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...
On Polynomial Functions Over Finite Commutative Rings
Polynomial function Finite commutative local ring Generalized Witt polynomial
2007/12/12
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...
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...
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...
Aging correlation functions of the interrupted fractional Fokker-Planck propagator
Aging correlation functions the interrupted fractional Fokker-Planck propagator
2014/9/24
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
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...
Nondivergent classical response functions from uncertainty principle: Quasiperiodic systems
Nondivergent classical response functions uncertainty principle Quasi Periodic systems
2014/9/24
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...
Gaussian factorization of hydrodynamic correlation functions and mode-coupling memory kernels
Gaussian factorization hydrodynamic correlation functions mode-coupling memory kernels
2014/9/24
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...
Linear and nonlinear response functions of the Morse oscillator: Classical divergence and the uncertainty principle
Linear and nonlinear response functions the Morse oscillator Classical divergence the uncertainty principle
2014/9/24
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...
Single molecule waiting time distribution functions in quantum processes
Single molecule waiting time distribution functions quantum processes
2014/9/24
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 to quantum dynamical time correlation functions
Semiclassical approximations quantum dynamical time correlation functions
2014/9/24
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 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
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...