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Stationary Wigner Equation with In ow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution
Wigner equation In ow boundary conditions Well-posedness.
2014/9/26
Based on the well-posedness of the stationary Wigner equation with in
ow bound-ary conditions given in [1], we prove without any additional prerequisite conditions
that the solution of the Wigner eq...
We investigate the propagation of a wave--packet in the $\phi^4$ model. We solve the time-dependent equation of motion for two distinct initial conditions: The wave-packet in a trivial vacuum backgro...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
Exact solution of $D_N$ type quantum Calogero model mapping to free harmonic oscillators
2010/12/28
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
The Global Stability of the Minkowski Spacetime Solution to the Einstein-Nonlinear Electromagnetic System in Wave Coordinates
Born-Infeld canonical stress energy currents global existence Hardy inequality Klainerman-Sobolev inequality
2010/12/14
In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields.
Complete solution to a conjecture on the maximal energy of unicyclic graphs
Complete solution conjecture unicyclic graphs
2010/11/24
For a given simple graph $G$, the energy of $G$ denoted by $E(G)$, is defined as the sum of the absolute values of all eigenvalues of its adjacency matrix. Let $P_n^{\ell}$ be the unicyclic graph obt...
Exact solution of a 2D interacting fermion model
Exact solution a 2D interacting fermion model
2010/11/11
We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model provides an effective description of spinless fermions on a square lattice w...
Analytical Solution of Covariance Evolution for Irregular LDPC Codes
Analytical Solution Covariance Evolution Irregular LDPC Codes
2010/11/12
A scaling law developed by Amraoui et al. is a powerful technique to estimate the block error probability of finite length low-density parity-check (LDPC) codes. Solving a system of differential equa...
On the continuous dependence of the minimal solution of constrained backward stochastic differential equations
the minimal solution stochastic differential equations
2010/11/15
It is well-known that solutions of backward differential equations are continuously dependent on the terminal value. Since the increasing part of the minimal solution of a constrained backward differe...
Remarks on Scattering Properties of the Solution to a Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
Nonlinear Schr¨odinger equation Global existence Scattering property
2010/11/29
In this paper, we consider the Cauchy problem of Nonlinear Schr¨odinger equationiut + u = λ1|u|p1u + λ2|u|p2u, t ∈ R, x ∈ RN u(0, x) = ϕ(x), x ∈ RN,where N ≥ 3, 0 < p1 < p2 < 4
N−2 , λ1 ...
Solution of the Bosonic and Algebraic Hamiltonians by using AIM
Asymptotic Iteration Method Analytical solution Boson Hamiltonian
2010/11/26
We apply the notion of asymptotic iteration method (AIM) to determine eigenvalues of the
bosonic Hamiltonians that include a wide class of quantum optical models. We consider solutions
of the Hamilt...
Singular braids are isotopy classes of smooth strings which are allowed to cross each other pairwise with distinct tangents. Under the usual multiplication of braids, they form a monoid. The singular ...
Solution of One Conjecture on Inequalities with Power-Exponential Functions
Inequality Power-exponential functions
2010/4/16
In this paper, we prove one conjecture presented in the paper [V. Cirtoaje, On some inequalities with power-exponential functions, J. Inequal. Pure Appl. Math., 10 (2009) no. 1, Art. 21.
We study perturbation bound and structured condition number about the minimal nonnegative solution of nonsymmetric algebraic Riccati equation, obtaining a sharp perturbation bound and an accurate cond...
A new upper and lower solution theory is presented for the second order problem $\,(G'(y))'+f(t,y)=0\,$ on finite and infinite intervals. The theory on finite intervals is based on a Leray--Schauder a...
UNIQUENESS OF THE POSITIVE SOLUTION FOR SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS
Uniqueness singular boundary value probl
2007/8/7
1 are some given constants.