refactor: Update note
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1 changed files with 13 additions and 7 deletions
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@ -296,13 +296,19 @@ def harmonicOscillator : Note where
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curators := ["Joseph Tooby-Smith"]
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parts := [
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.h1 "Introduction",
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.p "The quantum harmonic oscillator is one of the foundational examples
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of a 1d quantum mechanical system. It is perhaps the first example that
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many undergraduate students encounter when learning quantum mechanics.",
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.p "
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This note shall present the digitilisation (or formalization) of the
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quantum harmonic oscillator into the theorem prover Lean 4. This is part of a larger
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project called PhysLean. Note not every definition and theorem is given here.",
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.p "The quantum harmonic oscillator is a fundamental example of a one-dimensional
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quantum mechanical system. It is often one of the first models encountered by undergraduate
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students studying quantum mechanics.",
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.p " This note presents the formalization of the quantum harmonic oscillator in the theorem prover
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Lean 4, as part of the larger project PhysLean.
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What this means is that every definition and theorem in this note has been formally checked
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for mathematical correctness for by a computer. There are a number of
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motivations for doing this which are dicussed <a href = 'https://heplean.com'>here</a>.",
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.p "Note that we do not give every definition and theorem which is part of
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the formalization.
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Our goal is give key aspects, in such a way that we hope this note will be useful
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to newcomers to Lean or those intrested in simply intrested in learning about the
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quantum harmonic oscillator.",
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.h1 "Hilbert Space",
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.name ``QuantumMechanics.OneDimension.HilbertSpace .complete,
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.name ``QuantumMechanics.OneDimension.HilbertSpace.MemHS .complete,
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