In my Quantum Mechanics class, we discussed how to solve the schrodinger equation. In this post, we explain and discuss the schrodinger equation and the numeric solutions for solving an equation using deep learning. Today we will discuss: Schrodinger Equation Analytical solutions to the Schrodinger Equation How to use principles of Deep Learning Relevant…

This work seeks to make Beck et. al, 2018 understandable and put their solutions in a strong background to prepare for understanding of Stochastic Differential Equations. What are Stochastic Differential Equations? You’ve seen Ordinary Differential Equations. They are not spooky! They look like so: What defines an ordinary differential equation…

5G networks are coming. But what risk do they carry? And what plans can we draw to model its errors? Across the world, there are many base stations that make up cellular networks. They are complicated creatures that sometimes can have outages. Googling the news for cellular outages yields many…

Abstract: The goal is to examine several possibilities of how Graph Neural Networks can alter how we examine non-euclidian information. This discusses a straightforward example. Nodes & Networks: Given a graph G as seen below, we imagine an example where there is a teacher and a TA for a class. …

how I learned to stop worrying and love the uncertainty — This is my summarized notes from Andrae, Oser, Wittman, and Ly (their works are in the bibliography below) (: all info and knowledge come from there! I implore you to read through it! Scientists measure data and make inferences about their observations. To be technical, in examining the data, parameters…

On one of my recent telescope showings, an individual asked me to quantify precisely fast our universe was expanding after our discussion about the evidence for the growing distances between our universe’s galaxies. A simple google could have spared me the trouble: But what was intriguing is the science behind…

In this post, we will explore: Single Split Experiment Double Split Experiment Bragg’s Law Bohr’s Postulates Atomic Energy States A Critique of Old Quantum Theory As a result, we will find evidence supporting the quantum understanding of our world. Double Split Experiment Thomas Young, in 1801, showed the wave nature…

In this third post, we will discuss matter waves, the wave-particle duality, the uncertainty principle, property of matter waves, and some consequences of the uncertainty principle. 3.1 Matter Waves De Broglie’s Hypothesis was that the dual (i.e. wave-particle) behavior of radiation also applied to matter; he said that a material…

This is the first post in a series of posts on Quantum Physics. Images and information come directly from a fantastic topic on the matter, called Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles by Eisberg and Resnick. Here is a rough outline of the topics to be covered: …