refactor: Update note

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jstoobysmith 2025-02-26 11:16:27 +00:00
parent c21ce36eb1
commit f6607bfa58

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@ -296,13 +296,19 @@ def harmonicOscillator : Note where
curators := ["Joseph Tooby-Smith"]
parts := [
.h1 "Introduction",
.p "The quantum harmonic oscillator is one of the foundational examples
of a 1d quantum mechanical system. It is perhaps the first example that
many undergraduate students encounter when learning quantum mechanics.",
.p "
This note shall present the digitilisation (or formalization) of the
quantum harmonic oscillator into the theorem prover Lean 4. This is part of a larger
project called PhysLean. Note not every definition and theorem is given here.",
.p "The quantum harmonic oscillator is a fundamental example of a one-dimensional
quantum mechanical system. It is often one of the first models encountered by undergraduate
students studying quantum mechanics.",
.p " This note presents the formalization of the quantum harmonic oscillator in the theorem prover
Lean 4, as part of the larger project PhysLean.
What this means is that every definition and theorem in this note has been formally checked
for mathematical correctness for by a computer. There are a number of
motivations for doing this which are dicussed <a href = 'https://heplean.com'>here</a>.",
.p "Note that we do not give every definition and theorem which is part of
the formalization.
Our goal is give key aspects, in such a way that we hope this note will be useful
to newcomers to Lean or those intrested in simply intrested in learning about the
quantum harmonic oscillator.",
.h1 "Hilbert Space",
.name ``QuantumMechanics.OneDimension.HilbertSpace .complete,
.name ``QuantumMechanics.OneDimension.HilbertSpace.MemHS .complete,