Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

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Project-declaredLean 4.32.0

Constant EB magnetic Field Matrix

Electromagnetism.ElectromagneticPotential.constantEB_magneticFieldMatrix

Project documentation

An electric potential which gives a given constant E-field and B-field. -/ @[nolint unusedArguments] noncomputable def constantEB {d : ℕ} (c : SpeedOfLight) (E₀ : EuclideanSpace ℝ (Fin d)) (B₀ : Fin d × Fin d → ℝ) (B₀_antisymm : ∀ i j, B₀ (i, j) = - B₀ (j, i)) : ElectromagneticPotential d where val := fun x μ => match μ with | Sum.inl _ => - (1/c) * ⟪E₀,...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Constant EB smooth

Electromagnetism.ElectromagneticPotential.constantEB_smooth

Project documentation

An electric potential which gives a given constant E-field and B-field. -/ @[nolint unusedArguments] noncomputable def constantEB {d : ℕ} (c : SpeedOfLight) (E₀ : EuclideanSpace ℝ (Fin d)) (B₀ : Fin d × Fin d → ℝ) (B₀_antisymm : ∀ i j, B₀ (i, j) = - B₀ (j, i)) : ElectromagneticPotential d where val := fun x μ => match μ with | Sum.inl _ => - (1/c) * ⟪E₀,...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Constant EB vector Potential space deriv

Electromagnetism.ElectromagneticPotential.constantEB_vectorPotential_space_deriv

Project documentation

An electric potential which gives a given constant E-field and B-field. -/ @[nolint unusedArguments] noncomputable def constantEB {d : ℕ} (c : SpeedOfLight) (E₀ : EuclideanSpace ℝ (Fin d)) (B₀ : Fin d × Fin d → ℝ) (B₀_antisymm : ∀ i j, B₀ (i, j) = - B₀ (j, i)) : ElectromagneticPotential d where val := fun x μ => match μ with | Sum.inl _ => - (1/c) * ⟪E₀,...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

View proof record