With modern technology, it is physically realized in different kinds of nanostructures such as nanowires, atomic corrals, quantum dots, conjugated polymers, among others. This makes it all the more important to analyze various problems of this class and their solutions....
Humans have problems with quantum mechanics. We have excellent intuition about the motion of a tennis ball tossed in the air, but what about an electron trapped in a box? The tendency is to use the same tennis ball rules and apply it to the electron---but it doesn't work. We have ...
particlebox粒子sinmomentumstringed Particle in a Box This simple example of quantum behavior is also often referred to as the ‘standing wave’. Although having no direct counterpart in the physical world, the solutions are related to real problems such as a violin string (or any stringed instr...
This study investigates the impact of Al2O3 particle volume fraction and distribution on the deformation and damage of particle-reinforced metal matrix composites, particularly in the context of functionally graded metal matrix composites. In this study, a two-dimensional nonlinear random microstructure-...
To find the eigenfunctions and eigenvalues for the potentials (80) and (81), we must look for separable solutions of the rotational 4D Hamilton operator for spin-1/2 particles. Separable wave functions in hyperspherical coordinates have the form (94)ψr=ψRRψααψθθψϕϕ=ψRRΨαα...
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
Deepfake videos may be entertaining, but they may also put privacy and security at risk. A criminal may forge a video of a politician or another notable person in order to affect public opinions or deceive others. Approaches for detecting and protecting against these types of forgery must ...
problems involving mapping on the spatial field, e.g., computing spatial derivative or average of a nonlinear function of the field. In Fig.2we give an example of 2Dlinearconvolution on images. Note that by performing the convolution operation, the original 5×5 image is transformed into a ...
classic particle in a box problem with code the classic quantum mechanics problem is a particle in a 1-d box. here is a numerical solution to that problem. getty images save save humans have problems with quantum mechanics. we have excellent intuition about the motion of a tennis ball ...