Eigenfunctions of the quantum mechanical particle-in-a-box problem are shown to lead to a new trigonometric expansion scheme with good convergence properties. This hitherto unexpansion strategy is found to be quite efficient in variational calculations and as an alternative to the Fourier series. ...
[13] 3.1 A particle in... 1608播放 待播放 [14] 3.2 Applications ... 1467播放 05:55 [15] 3.2 Applications ... 933播放 05:57 [16] 3.3 Rigid Rotator... 649播放 05:56 [17] 3.3 Rigid Rotator... 670播放 05:54 [18] 3.4 Harmonic Osci... ...
A secure communication system based on the error-feedback synchronization of the electronic model of the par-ticle-in-a-box system is proposed. This circuit allows a robust and simple electronic emulation of the mechanical behavior of the collisions of a particle inside a box, exhibiting rich ch...
This chapter will introduce the particle swarm optimization (PSO) algorithm giving an overview of it. In order to formally present the mathematical formulation of PSO algorithm, the classical version will be used, that is, the inertial version; meanwhile
In many applications, order of magnitude estimates suggest that the dissipation due to interstitial fluid effects may greatly exceed that due to inelasticity and one is naturally led to neglect inelastic effects. In this study, we show that, if one adopts a linear drag force and inelastic ...
Over the years, a wide range of Janus particle production routes have been developed, resulting in a variety of particle types, as reviewed extensively in literature [28–33]. Depending on the production method, different particle shapes can be produced, ranging from spheres (Fig. 8.1A), over...
In spite of their great importance in biology, methods providing access to spontaneous molecular interactions with and on biological membranes have been sparse. The recent advent of mass photometry to quantify mass distributions of unlabeled biomolecules
In order to produce the manipulated image, the process typically involves training two encoders on both the source image and the target image and then switching the decoders in order to rebuild the face from image A onto image B. Some applications have gained popularity due to the ease with...
Glass found a large application in particle physics, and it can be considered as a key turning point in the technology of gaseous detectors, in particular
Indeed, suspension, dilute or concentrated, is the typical system to deal with in either scientific research or practical applications regarding colloids. Among various forms of suspensions, the liquid suspension is by far the most important one, in particular the aqueous electrolyte solution, due to...