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export Laplacian
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src/HarmonicOrthogonalPolynomials.jl

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@@ -13,7 +13,7 @@ import FastTransforms: Plan, interlace
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import QuasiArrays: LazyQuasiMatrix, LazyQuasiArrayStyle
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import InfiniteArrays: InfStepRange, RangeCumsum
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export SphericalHarmonic, UnitSphere, SphericalCoordinate, RadialCoordinate, Block, associatedlegendre, RealSphericalHarmonic, sphericalharmonicy, abs, -, ^, AngularMomentum
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export SphericalHarmonic, UnitSphere, SphericalCoordinate, RadialCoordinate, Block, associatedlegendre, RealSphericalHarmonic, sphericalharmonicy, abs, -, ^, AngularMomentum, Laplacian
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cardinality(::Sphere) = ℵ₁
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include("multivariateops.jl")

src/angularmomentum.jl

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#########
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# AngularMomentum
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# Applies the partial derivative with respect to the last angular variable in the coordinate system.
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# For example, in polar coordinates (r, θ) in ℝ² or cylindrical coordinates (r, θ, z) in ℝ³, we apply ∂ / ∂θ = (x ∂ / ∂y - y ∂ / ∂x).
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# In spherical coordinates (ρ, θ, φ) in ℝ³, we apply ∂ / ∂φ = (x ∂ / ∂y - y ∂ / ∂x).
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#########
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"""
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AngularMomentum
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Applies the partial derivative with respect to the last angular variable in the coordinate system.
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For example, in polar coordinates (r, θ) in ℝ² or cylindrical coordinates (r, θ, z) in ℝ³, we apply ∂ / ∂θ = (x ∂ / ∂y - y ∂ / ∂x).
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In spherical coordinates (ρ, θ, φ) in ℝ³, we apply ∂ / ∂φ = (x ∂ / ∂y - y ∂ / ∂x).
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"""
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struct AngularMomentum{T,Ax<:Inclusion} <: LazyQuasiMatrix{T}
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axis::Ax
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end

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