The paper is concerned with a nonlocal problem for a partial Fredholm integro-differential equation (IDE) of hyperbolic type is investigated. This problem is reduced to a problem containing a family ...of boundary value problems for the ordinary Fredholm IDEs and some integral relationships. A novel concept of general solution to a family of the ordinary Fredholm IDEs is introduced, and its properties are discussed. A necessary and sufficient condition for the well-posedness of the nonlocal problem for the partial Fredholm integro-differential equation (IDE) of hyperbolic type is obtained, and an algorithm for finding its solution is offered.
The Aharonov–Bohm effect in noncommutative (NC) quantum mechanics is studied. First, by introducing a shift for the magnetic vector potential we give the Schrödinger equations in the presence of a ...magnetic field on NC space and NC phase space, respectively. Then, by solving the Schrödinger equations, we obtain the Aharonov–Bohm phase on NC space and NC phase space, respectively.
This paper introduces the ΔN general solution to linear Fredholm integro-differential equations and sets its properties. The conditions for existence of classical general solution and solvability ...criteria for the equation are provided. Necessary and sufficient conditions for solvability of linear boundary value problems are established. Algorithms for construction of the ΔN general solutions are obtained. This paper also proposes approximate and numerical methods to solve the boundary value problems.
By using a generalized Bopp’s shift formulation, instead of the star product method, we investigate the Aharonov–Casher (AC) effect for a spin-1 neutral particle in non-commutative (NC) quantum ...mechanics. After solving the Kemmer equations both on a non-commutative space and a non-commutative phase space, we obtain the corrections to the topological phase of the AC effect for a spin-1 neutral particle both on a NC space and a NC phase space.
The article introduces a new general solution to a family of loaded ordinary differential equations and discusses its properties. It provides necessary and sufficient conditions for the ...well-posedness of a linear nonlocal boundary value problem for a system of loaded hyperbolic equations with mixed derivatives. Algorithms for solving the boundary value problems for loaded differential equations are proposed.
A brief description of the CT14 global analysis of quantum chromodynamics at next-to-next-to leading order (NNLO) from the CTEQ-TEAgroup is given. Predictions for standard candle processes at the LHC ...are illustrated together with the main features of the CT14 parton distribution functions
A brief description of the impact of the recent HERA run I+II combination of inclusive deep inelastic scattering cross-section data on the CT14 global analysis of PDFs is given. The new CT14HERA2 ...PDFs at NLO and NNLO are illustrated. They employ the same parametrization used in the CT14 analysis, but with an additional shape parameter for describing the strange quark PDF. The HERA I+II data are reasonably well described by both CT14 and CT14HERA2 PDFs, and differences are smaller than the PDF uncertainties of the standard CT14 analysis. Both sets are acceptable when the error estimates are calculated in the CTEQ-TEA (CT) methodology and the standard CT14 PDFs are recommended to be continuously used for the analysis of LHC measurements.
A nonlocal boundary value problem with integral condition for a system of hyperbolic equations is considered. Relationship with the family of boundary value problems for ordinary differential ...equations is established. Sufficient and necessary conditions of well-posedness of nonlocal boundary value problems with integral condition for a system of hyperbolic equations are obtained.
We study the possibility of the scalar charmonium and glueball mixing in e+e− annihilation at s=10.6 GeV. The effects can be used to explain the unexpected large cross section (12±4 fb) and the ...anomalous angular distribution (α=−1.1+0.8−0.6) of the exclusive e+e−→J/ψχc0 process observed by Belle experiments at KEKB. We calculate the helicity amplitudes for the process e+e−→J/ψH(0++) in NRQCD, where H(0++) is the mixed state. We present a detailed analysis on the total cross section and various angular asymmetries which could be useful to reveal the existence of the scalar glueball state.
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