- #1

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## Homework Statement

Demonstrate the equivalence between the gauge fields A

_{1}=(0,bx,0) and A

_{2}=)-yB/2,xB/2,0) and

**find the scalar field Φ for which A**

_{1}= A_{2}+ ∇Φ## Homework Equations

B = ∇XA

## The Attempt at a Solution

The first part is fine, you just plug it in to the above relevant equation and you get Bk for each. But I am unsure of the second part. I tried

A

_{1}= A

_{2}+ ∇Φ ->>>

∇Φ = A

_{1}- A

_{2}

Φ = (∫ yB/2 dx , ∫ (Bx - xB/2) dy, ∫ 0 dz)

but it was marked wrong with a "Φ is scalar!" comment.

it's probably really simple but just stuck on it.

as always thanks for any suggestions.