Schrodinger equation/ exact solutionsparticle in a boxdelta function potentialfactorization methodeigenvalues and eigenfunctionsWe use the factorization method to find the exact eigenvalues and eigenfunctions for a particle in a box with the delta function potential V(x)=λδ(xx0). We show that the ...
As mentioned above, nevertheless, MPS method has the drawbacks of low accuracy and being liable to instability, which are great challenges in the practical applications. It is necessary to improve MPS method and develop numerical models aiming at the practical problems. Therefore, a comprehensive ...
Particle Swarm Optimization (PSO) algorithms are widely used in a plethora of optimization problems. In this chapter, we focus on applications of PSO algorithms to optimization problems arising in the theory of wave scattering by inhomogeneous media. Mor
A.: 1983, ‘Turbulent Atmospheric Transport and Deposition of Particles with Settling and Evaporation’, Ph.D. Thesis, University of Illinois, Urbana, Illinois. Google Scholar Chandrasekar, S.: 1943, ‘Stochastic Problems in Physics and Astronomy’, Rev. Modern Phys. 15, 1–98. Google ...
Poor mixing can lead to mass and/or heat transfer problems as well as inhomogeneous enzyme distribution, both of which can cause possible yield reduction. Furthermore the stirring energy dissipation may impact the particle size which in turn may affect the enzymatic hydrolysis. The objective of ...
作者: G Pdf 摘要: For the MPI imaging process, superparamagnetic iron oxide nanoparticles (SPIONs) are used as tracer material. The particles are excited by a sinusoidally varying magnetic field. A field-free point (FFP) is generated by the superposition of two magnetic fields. The FFP is ...
Both in vitro and in vivo methodologies were considered in the development of the screening strategy. are currently being produced in a wide variety of types for a variety of applications; fullerenes (C60 or Bucky Balls), carbon nanotubes (CNT), metal and metal oxide particles, polymer ...
In this situation, these solutions are real-valued anddescribe a one-dimensional Majorana single particle. We specif i cally obtain solutionsfor the following cases: a Majorana particle at rest inside a box, a free (i.e., in apenetrable box with the periodic boundary condition), in an ...
analytical solutions known as the limit equilibrium methods (LEM), e.g., Navier–Stokes and the likes were celebrated with the level of mathematical solutions they offered. To overcome the limitations of the LEM in handling more complex slope failure problems, numerical solutions were born, which...
Nearly thirty years since its inception, the combined finite-discrete element method (FDEM) has made remarkable strides in becoming a mainstream analysis t