Results 111 to 120 of about 16,019 (311)
Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime [PDF]
, 2016 WeiZhu Bao +3 more
openalex +1 more source
The Dirac equation vs. the Dirac type tensor equation
, 2002 We discuss a connection between the Dirac equation for an electron and the Dirac type tensor equation with ${\rm U}(1)$ gauge symmetry.
openaire +2 more sources
AIChE Journal, EarlyView.Abstract This study presents a coupled population balance model (PBM) for describing the degree‐of‐agglomeration (DoA) in crystallization by independently tracking total particle and agglomerate number densities. Applied to an industrial active pharmaceutical ingredient, the model outperformed bridge‐counting methods and accurately captured DoA trends ...
Yung‐Shun Kang +6 more
wiley +1 more source
Journal of Mathematical and Fundamental Sciences, 2014 The bound state solution of the Dirac equation for generalized PöschlTeller and trigonometric Pöschl-Teller non-central potentials was obtained using SUSY quantum mechanics and the idea of shape invariance potential.
Suparmi, Cari
doaj +1 more source
Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law. [PDF]
Sci Rep, 2023 Ishkhanyan AM, Krainov VP.
europepmc +1 more source
The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene [PDF]
, 2015 A Faraj, Shi Jin
openalex +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
General spin and pseudospin symmetries of the Dirac equation [PDF]
, 2015 P. Alberto +3 more
openalex +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential. [PDF]
Sci Rep, 2021 Okon IB +5 more
europepmc +1 more source