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A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations
Shallow water equations Nozzle flow equations Discontinuous topography well-balanced scheme surface gradient method Shock capturing
2012/8/8
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations 。
Generalized T-Q relations and the open spin-s XXZ chain with nondiagonal boundary terms
Generalized T-Q relations the open spin-s XXZ chain nondiagonal boundary terms Mathematical Physics
2012/6/21
We consider the open spin-s XXZ quantum spin chain with nondiagonal boundary terms. By exploiting certain functional relations at roots of unity, we derive a generalized form of T-Q relation involving...
Interpretation of percolation in terms of infinity computations
Interpretation of percolation terms of infinity computations General Physics
2012/5/28
In this paper, a number of traditional models related to the percolation theory has been considered by means of new computational methodology that does not use Cantor's ideas and describes infinite an...
A derivation of the Breit equation from Barut's covariant formulation of electrodynamics in terms of direct interactions
Breit equation Barut's covariant formulation Quantum Physics High Energy Physics - Theory
2011/10/10
Abstract: We study Barut's covariant equations describing the electromagnetic interactions between N spin-1/2 particles. In the covariant formulation each particle is described by a Dirac spinor. It i...
Evaluation of High Order Terms for the Hubbard Model in the Strong-coupling Limit
for the Hubbard Model High Order Terms the Strong-coupling Limit Strongly Correlated Electrons
2011/7/28
Evaluation of High Order Terms for the Hubbard Model in the Strong-coupling Limit.
Evaluation of High Order Terms for the Hubbard Model in the Strong-coupling Limit
High Order Terms the Hubbard Model Strong-coupling
2011/9/15
The ground-state energy of the Hubbard model on a Bethe lattice with infinite connectivity at half filling is calculated for the insulating phase. Using Kohn抯 transformation to derive an effective Ham...
Nondifferentiable variational principles in terms of a quantum operator
Holder functions quantum calculus calculus of variations Green’s theorem
2011/7/28
Abstract: We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with on...
Nondifferentiable variational principles in terms of a quantum operator
Holder functions quantum calculus calculus of variations Green’s theorem
2011/7/28
Abstract: We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with on...
About Boundary Terms in Higher Order Theories
Boundary Terms Higher Order Theories General Relativity Quantum Cosmology
2011/7/26
Abstract: It is shown that when in a higher order variational principle one fixes fields at the boundary leaving the field derivatives unconstrained, then the variational principle (in particular the ...
A Characterization of Entropy in Terms of Information Loss
Shannon entropy Tsallis entropy information theory measure-preserving function
2011/7/27
Abstract: There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simple...
Quantum mechanical potentials exactly solvable in terms of higher hypergeometric functions. I: The third-order case
Quantum mechanical higher hypergeometric third-order
2011/7/25
Abstract: We present a new six-parameter family of potentials whose solutions are expressed in terms of the hypergeometric functions 3F2, 2F2 and 1F2. Both the scattering data and the bound states of ...
Higher-order Kerr terms allow ionization-free filamentation in gases
Higher-order Kerr ionization-free filamentation gases
2010/11/16
We show that higher-order nonlinear indices ($n_4$, $n_6$, $n_8$, $n_{10}$) provide the main defocusing contribution to self-channeling of ultrashort laser pulses in air and Argon at 800 nm, in contr...
Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics
Bianchi I model terms nonstandard loop quantum cosmology Quantum dynamics
2010/11/9
We analyze the quantum Bianchi I model in the setting of the nonstandard loop quantum cosmology. Elementary observables are used to quantize the volume operator. The spectrum of the volume operator i...
Uncertainty Relations in Terms of Fisher Information
Fisher information uncertainty relations
Cramér-Rao inequality parameter estimation quantum measurement
2007/8/15
2001Vol.36No.3pp.257-258DOI:
Uncertainty Relations in Terms of Fisher Information
LUO Shun-Long
Institute of Applied Mathematics, Academy of Mathematics and System
Scie...
Sigma Terms and Strangeness Contents of Baryon Octet inModified Chiral Perturbation Theory
sigma term strangeness content chiral perturbation theory
2007/8/15
2006Vol.46No.6pp.1059-1064DOI:
Sigma Terms and Strangeness Contents of Baryon Octet inModified Chiral Perturbation Theory
LI Xiao-Ya1 and LÜ Xiao-Fu1,2,3
1 Departme...