The blog of two prospective physicists
There are several methods of going about classifying the stationary points of a function $f(x,y)$. Here I would like to show a method that I prefer which involves minimal calculation. Let us look at the example of begin{equation}f(x,y)=2x^3+6xy^2-3y^3-150xend{equation} It should be obvious from the 3D plot above that there are numerous stationary points on our […]
Table of Contents Being one of the two pillars of modern physics, the theory of relativity is widely recognized. In addition to $E=mc^2$ (which should really be $E=gamma (v) mc^2$) the theory of relativity covers a great range of topics, providing elegant explanations and theories that answer questions from “What is time?” to “What is inside […]
It is perhaps blindly obvious that theorists and experimentalists are of equal importance. This is a rather simple and fundamental idea, it is analogous to the question of “Which one is more important? Your lungs or your stomach?” Of course, the answer is both are important. The reason is, just in case you haven’t realized, […]
$E=mc^2$ is perhaps the most well known equation in the world. First proposed by a patent clerk working in Switzerland in his now world famous (but absolutely unreadable) paper ‘On the Electrodynamics of Moving Bodies’, compiled later by Minkowski, Einstein’s novel idea about how mass and energy are intricately linked and that the classical concept […]
Welcome to the second article in the series: Physically Interesting Differential Equations, where we explore fascinating physical systems that can be modeled with differential equations. This week, we shall look at the Poisson equation. The Poisson equation is a class of partial differential equations that are often useful when doing physics of fields. One such example […]
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