Hey π 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: π Postulate 1, π Postulate 2, π Postulate 3, π Postulate 4 - Schrodinger Equation.

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# ποΈ Keywords

As I study through the topic, the following keywords became relevant. To understand a keyword we wouldnβt need any of the keywords after it, but weβll likely need a few of the keywords listed before. This βruleβ might be broken on occasion.

## Iβm familiar withβ¦

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

## I want to learnβ¦

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

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# β Note icons

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

Icon | Type |
---|---|

π | Axiom |

π | Definition |

π | Proposition or Theorem |

π | Methodology |

ποΈ | Papers |

πΊοΈ | Miscellaneous |

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# ποΈ 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

Quote

Quotes to external webpages

# π¦ Dataview Summary

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