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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
2012/6/5
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
2012/5/3
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...
Ultrasolitons: multistability and subcritical power threshold from higher-order Kerr terms
Ultrasolitons multistability and subcritical power threshold higher-order Kerr terms Pattern Formation and Solitons
2012/4/18
We show that an optical system involving competing higher-order Kerr nonlinearities can support the existence of ultrasolitons, namely extremely localized modes that only appear above a certain thresh...
Effect of finite terms on the truncation error of Mie series
finite terms truncation error Mie series
2012/2/27
The finite sum of the squares of the Mie coefficients is very useful for addressing problems of classical light scattering. An approximate formula available in the literature, and still in use today, ...
Incorporating Forcing Terms in Cascaded Lattice-Boltzmann Approach by Method of Central Moments
Incorporating Forcing Terms Cascaded Lattice-Boltzmann Approach Central Moments
2012/2/27
Cascaded lattice-Boltzmann method (Cascaded-LBM) employs a new class of collision operators aiming to improve numerical stability. It achieves this and distinguishes from other collision operators, su...
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
2011/7/28
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
2011/6/24
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
2011/6/24
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
2011/6/20
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
2011/6/20
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
2011/6/19
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
2011/6/9
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
2011/6/3
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 ...
On the Efetov-Wegner terms by diagonalizing a Hermitian supermatrix
Efetov-Wegner terms diagonalizing Hermitian supermatrix
2010/11/30
The diagonalization of Hermitian supermatrices is studied. Such a change of coordinates is inevitable to find certain structures in random matrix theory. However it still poses serious problems since ...