Tag Archives: Physics

Peter Higgs – In memoriam

Posted on April 11, 2024 by ateixeira

Peter Higgs passed recently and his name is associated with one of the biggest concepts of 20th physics: the Higgs boson. Higgs and all of the other physicists that are associated with this symmetry breaking mechanism were celebrated and awarded … Continue reading →

Posted in 00 General, 01 Announcements | Tagged , , , , | Leave a comment

Reminiscing and how things are going

Posted on April 7, 2024 by ateixeira

A Leap of Faith The fabric of my childhood was woven with the vibrant threads of “Quantum Leap,” a show that transcended mere entertainment to become a beacon of inspiration. Each episode was a puzzle, a challenge that beckoned me … Continue reading →

Posted in 00 General, 01 Announcements | Tagged , , , | Leave a comment

Some notes on scattering

Posted on March 21, 2024 by ateixeira

— 1. Back! — Besides reading text books to get back in shape in Physics I am also reading articles and some specific class notes so that I can better understand meson spectroscopy, hadron physics, scattering and QCD. With that … Continue reading →

Posted in 01 Meson spectroscopy and meson-meson scattering, 04 Research | Tagged , , | Leave a comment

Vector Calculus – Div, grad and curl in suffix notation

Posted on March 17, 2024 by ateixeira

— 9. Grad, Div and Curl revisited in suffix notation — After introducing suffix notation and noting its computing and synthesizing power it is now time to use its power for the differential operators in vector calculus. From now on … Continue reading →

Posted in 02 Mathematics, 02 Vector Calculus | Tagged , , , , , , , | Leave a comment

Vector Calculus – Exercises V

Posted on March 17, 2024 by ateixeira

Exercise 18 Write in suffix notation. As always we will write the equation in suffix notation for the coordinate: Exercise 19 Write in vector notation. Exercise 20 Show that using suffix notation. Exercise 21 Let and be matrices. Show that … Continue reading →

Posted in 02 Mathematics, 02 Vector Calculus | Tagged , , , | Leave a comment

Vector Calculus – The Kronecker delta and the alternating tensor

Posted on March 16, 2024 by ateixeira

— 7. Kronecker delta — In vector calculus it is important to define the so-called Kronecker delta, which we can think as being identical to the identity matrix. Definition 11 The Kronecker delta is represented by the symbol and by … Continue reading →

Posted in 02 Mathematics, 02 Vector Calculus | Tagged , , , , | Leave a comment

Vector Calculus – Suffix notation

Posted on March 14, 2024 by ateixeira

— 6. Suffix notation — The purpose of this section is to introduce suffix notation and get familiar with it by solving exercises. Suffix notation is a very powerful and agile way of doing calculations when dealing with vectors (and … Continue reading →

Posted in 02 Mathematics, 02 Vector Calculus | Tagged , , , | Leave a comment

Vector Calculus – Exercises IV

Posted on March 13, 2024 by ateixeira

Exercise 14 Given the scalar field determine and the Laplacian . For the gradient it is Exercise 15 Given the scalar field determine and the Laplacian . And for the Laplacian it is Exercise 16 Find the divergence and the … Continue reading →

Posted in 02 Mathematics, 02 Vector Calculus | Tagged , , , , , , , | Leave a comment

Gradient, Divergence and Curl II

Posted on March 11, 2024 by ateixeira

— 5.4. Divergence — The divergence operation is one of the ways of differentiating a vector field. Let us consider a volume of a rectangular box centered on the point . The lengths of the sides are , and . … Continue reading →

Posted in 02 Mathematics, 02 Vector Calculus | Tagged , , | Leave a comment

Vector Calculus – Exercises III

Posted on March 6, 2024 by ateixeira

Exercise 9 Find the gradient of the scalar field and evaluate it at . Hence find the directional derivative of at this point in the direction of the vector . For the gradient it is Hence at point the gradient … Continue reading →

Posted in 02 Mathematics, 02 Vector Calculus | Tagged , , | Leave a comment