Nonlinear level-crossing models

بررسی آنالیز آمار level crossing

مرحله گذارقطع یک راهکار بسیارسودمند جهت تجزیه وتحلیل سری های زمانی تصادفی است. مادراین پایان نامه با معرفی این روش به تحقیق در مورد سری های زمانی فواصل ضربان قلب و سری زمانی شاخص بورس سهام چندشرکت وزبری سطح دررشد لایه های نازک می پردازیم. دراین روش می توان بااستفاده از تابع توزیع چگالی احتمال ?_?^+ نسبت به ? وهمچنین تابع توزیع چگالی احتمال بیشترین نقاط برخورد نسبت به مقدار شیب، تمایز قلب سالم و...

Cross-Correlations and Joint Gaussianity in Multivariate Level Crossing Models

A variety of phenomena in physical and biological sciences can be mathematically understood by considering the statistical properties of level crossings of random Gaussian processes. Notably, a growing number of these phenomena demand a consideration of correlated level crossings emerging from multiple correlated processes. While many theoretical results have been obtained in the last decades f...

Level-crossing Optogalvanic Spectroscopy

Level Crossing for Hot Sphalerons

We study the spectrum of the Dirac Hamiltonian in the presence of high temperature sphaleron-like fluctuations of the electroweak gauge and Higgs fields, relevant for the conditions prevailing in the early universe. The fluctuations are created by numerical lattice simulations. It is shown that a change in Chern-Simons number by one unit is accompanied by eigenvalues crossing zero and a change ...

Level crossing along sphaleron barriers.

In the electroweak sector of the standard model topologically inequivalent vacua are separated by finite energy barriers, whose height is given by the sphaleron. For large values of the Higgs mass there exist several sphaleron solutions and the barriers are no longer symmetric. We construct paths of classical configurations from one vacuum to a neighbouring one and solve the fermion equations i...