therefore

Project-declaredLean 4.32.0

One Dim Point Particle div electric Field

Electromagnetism.DistElectromagneticPotential.oneDimPointParticle_div_electricField

Project documentation

The electromagnetic potential of a point particle stationary at r₀ of 1d space. -/ noncomputable def oneDimPointParticle (𝓕 : FreeSpace) (q : ℝ) (r₀ : Space 1) : DistElectromagneticPotential 1 := (SpaceTime.distTimeSlice 𝓕.c).symm <| Space.constantTime <| distOfFunction (fun x => ((- (q * 𝓕.μ₀ * 𝓕.c)/ 2) * ‖x - r₀‖) • Lorentz.Vector.basis (Sum.inl 0...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

View proof record

Project-declaredLean 4.32.0

One Dim Point Particle electric Field

Electromagnetism.DistElectromagneticPotential.oneDimPointParticle_electricField

Project documentation

The electromagnetic potential of a point particle stationary at r₀ of 1d space. -/ noncomputable def oneDimPointParticle (𝓕 : FreeSpace) (q : ℝ) (r₀ : Space 1) : DistElectromagneticPotential 1 := (SpaceTime.distTimeSlice 𝓕.c).symm <| Space.constantTime <| distOfFunction (fun x => ((- (q * 𝓕.μ₀ * 𝓕.c)/ 2) * ‖x - r₀‖) • Lorentz.Vector.basis (Sum.inl 0...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

View proof record

Project-declaredLean 4.32.0

One Dim Point Particle scalar Potential

Electromagnetism.DistElectromagneticPotential.oneDimPointParticle_scalarPotential

Project documentation

The electromagnetic potential of a point particle stationary at r₀ of 1d space. -/ noncomputable def oneDimPointParticle (𝓕 : FreeSpace) (q : ℝ) (r₀ : Space 1) : DistElectromagneticPotential 1 := (SpaceTime.distTimeSlice 𝓕.c).symm <| Space.constantTime <| distOfFunction (fun x => ((- (q * 𝓕.μ₀ * 𝓕.c)/ 2) * ‖x - r₀‖) • Lorentz.Vector.basis (Sum.inl 0...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

View proof record