Quantum generators

This research is built upon the determination of the Eigenpairs of one and two dimensional positive differential operators with periodic boundary conditions. The Schrödinger equation was solved for positive operators in both one and two dimensions. Fourier series were used to express the derivatives as the summation of Fourier terms. This led to a novel approach for the calculation of the eigenmodels of a perturbed potential well. The perturbation can be done via an electric field applied to the potential well.

88p runthenight07 01-03-2023 5 2   Download

Semiconductors nanoparticles have quantum size effects and non-linear optical characteristics as well as high quantum efficiency, making them next-generation materials that can be applied in various optoelectronic devices. Semiconductor nanoparticles have attracted much attention because of their novel electric and optical properties originating from surface and quantum confinement effects.

5p tamynhan5 10-12-2020 13 2   Download

We prove that the sequence of projective quantum SU(n) representations of the mapping class group of a closed oriented surface, obtained from the projective flat SU(n)-Verlinde bundles over Teichm¨ller space, is asymptotically u faithful. That is, the intersection over all levels of the kernels of these representations is trivial, whenever the genus is at least 3. For the genus 2 case, this intersection is exactly the order 2 subgroup, generated by the hyper-elliptic involution, in the case of even degree and n = 2. Otherwise the intersection is also trivial in the genus 2 case. ...

23p noel_noel 17-01-2013 48 7   Download

The characteristics lines in X-ray spectra result from electronic transitions between inner atomic orbitals. The X-ray spectra for most heavy elements are much simpler than the UV/Vis spectra observed in ICP-OES, for example. (Only a few lines!!!) Big difference between X-ray and UVVis: The radiation is ionizing, and doesn’t just excite electrons to higher levels. Moseley’s law: Predicts the basic relationship of atom number and the frequency of the characteristic lines

24p qdung92ct 03-07-2012 76 15   Download

• Imagine an atom with excess energy. Without external action, the atom would, after a period of time, spontaneously emit light, whose properties (e.g. its direction) are random — only the energy is fixed. • This situation changes when the atom is shone with a light wave of the corresponding energy. There is then a higher probability that the atom will also simply copy the remaining properties of the incident wave: It then emits light that is in step with the original and propagates in the same direction....

17p thanhan 22-07-2009 119 13   Download