Integrating the Delta Function (Again) – Dirac Version

The Delta Function is, roughly speaking, shaped like an infinitely tall and infinitely thin needle. It's discovery - or invention - is commonly attributed to Paul Dirac[*]. Dirac needed a function like this to work with integrals that are common on quantum mechanics, a generalization of a matrix that has 1's in the diagonal and … Continue reading Integrating the Delta Function (Again) – Dirac Version

Delta Function Haiku

I have proved that a Lorentzian bell curve becomes the Dirac Delta Function in the limit. Now I want to look at another representation of the Delta Function. As this is a shorter proof, a haiku will do. ~ Infinite numbers of oscillations added. Need to damp them down Symmetrically attach an exponential for each … Continue reading Delta Function Haiku

The Improper Function and the Poetry of Proofs

Later the Delta Function was named after their founder. Dirac himself called it an improper function. This time, the poem is not from repurposed snippets of his prose. These are just my own words to describe a proof: ~ In the limit the Lorentzian becomes the improper function. In the limit of tiny epsilons it … Continue reading The Improper Function and the Poetry of Proofs

Poetry: Dynamical Variables and Observables

The lines of the following poem are phrases selected from consecutive pages of the second chapter of Paul Dirac's Principles of Quantum Mechanics, Fourth Edition (Revised), Dynamical Variables and Observables. we may look upon the passage for the triple product We therefore make the general rule in spite of this fundamental difference which conforms with … Continue reading Poetry: Dynamical Variables and Observables

Poetry: The Principle of Superposition

The lines of the following poem are phrases selected from consecutive pages of the first chapter of Paul Dirac's Principles of Quantum Mechanics, Fourth Edition (Revised), The Principle of Superposition. ~ one would be inclined to think There must certainly be some internal motion from general philosophical grounds we cannot expect to find any causal … Continue reading Poetry: The Principle of Superposition

Edginess: What I Was Searching For

First Spam Poetry since a long time! Every line is an unedited snippet from about 100 spam comments on this blog. Process: View spam comments at random Either pick a phrase from the comment or discard it, then delete the comment. Jump to the next spam comment - spam comments can be processed in any … Continue reading Edginess: What I Was Searching For

The Subtle Power of the Top Snippet. A New Sub-Genre of Google Poetry.

New game, new rules! I have tried to make the rules tougher! Here is some context and history. Search for your site on Google: site:elkement.wordpress.com Pick the first search result in the language of your site[*] Pick a chain of words, a contiguous snippet from this Google search result (use only the snippet on the … Continue reading The Subtle Power of the Top Snippet. A New Sub-Genre of Google Poetry.

Things You Find in Your Hydraulic Schematic

Building an ice storage powered heat pump system is a DIY adventure - for a Leonardo da Vinci of plumbing, electrical engineering, carpentry, masonry, and computer technology. But that holistic approach is already demonstrated clearly in our hydraulic schematics. Actually, here it is even more daring and bold: There is Plutonium - Pu - everywhere … Continue reading Things You Find in Your Hydraulic Schematic