Hey πŸ‘‹ Collapsed Wave is a glossary of notes around Machine Learning and Quantum Theory. Finding notes is easy using the Search Bar. If this is your first time, the postulates of quantum are a good starting point: πŸ“• Postulate 1, πŸ“• Postulate 2, πŸ“• Postulate 3, πŸ“• Postulate 4 - Schrodinger Equation.

When on a note, you can

  1. Follow the links to see relevant content.
  2. Follow the back links to find mentions of a page. Some concepts such as πŸ“˜ Potential energy and πŸ“˜ Hilbert Spaces are mentioned frequently.
  3. Use the graph view to navigate see an overview of linked notes without leaving the page
  4. Setup Obsidian in order to explore these notes in your local laptop.

πŸ—οΈ Keywords

As I study through the topic, the following keywords became relevant. To understand a keyword we wouldn’t need any of the keywords after it, but we’ll likely need a few of the keywords listed before. This β€œrule” might be broken on occasion.

I’m familiar with…

πŸ“˜ Trajectory, Hooke’s law, πŸ“˜ Harmonic Oscillator, Frequency of Oscillation, πŸ“˜ Kinetic energy, πŸ“˜ Potential energy, πŸ“˜ Constant of Motion aka Conserved Quantity, Implicit Function Theorem, Integral of Motion, Damped Harmonic Oscillator, πŸ“˜ Conservative force, πŸ“˜ Gradient, πŸ“˜ Curl, πŸ“— Stokes theorem, center of mass, angular momentum, Kepler’s 2nd Law, πŸ“˜ Poisson bracket, Diffeomorphism, πŸ“˜ Flow, Complete Flow, Sympletic Form, Symplectomorphism, Canonical Transformation, Hamiltonian flow, Hamiltonian generator, Hamiltonian generator of rotations, joint level, Riesz Representation Theorem, πŸ“˜ Symmetric Operator, πŸ“˜ Self-Adjoint Operator, Unbounded Operator, Bounded Linear Transformation Theorem, πŸ“˜ Position Operator, πŸ“˜ Momentum Operator, De Broglie Hypothesis, Superposition, πŸ“˜ Commutator, Canonical Commutation Relation.

I want to learn…

I need to review the concepts below.

Heisenberg picture, Schrodinger picture, Fermi Golden Rule, Dense coding, Angular Momentum, Spin, Stern-Gerlach Experiment, gamma matrix, Lie Algebra, Lie Group, Fock space, Moyal bracket, Weyl Quantization

πŸ“³ RSS Feed

You can follow new notes from this webpage as they are being created by subscribing to our RSS Feed.

❓ Note icons

All notes have an icon before the title. This provides you with instant feedback about the contents of the note:

πŸ“—Proposition or Theorem

πŸ‘©β€πŸ”¬ Advanced contributors

By using this website and sharing it, you are already contributing. If there is missing content that should be added do submit a Content Request.

You can also write the note you want to see in this webpage by submitting a PR in GitHub, following the contribution guidelines written in the README.md file. Since this process only requires a review to be accepted, it leads to a much faster addition to these notes.

πŸ—’οΈ Banners

For easier read, we will often include the banners below.

Success / Proofs

Success sessions show proofs. Being able to prove statements is a strong metric of success

Info / Notation

Info sections describe the notation used. They are essential to understand the rest of the note, but can be ignored by the familiar reader. As such they are collapsed by default.

Tips / Intuition

Tips section provide intuition about the rest of the note


Quotes to external webpages

πŸ¦… Dataview Summary

I keep πŸ¦… Dataview Summary to quickly see work in progress, broken tags and other useful information at a glance.