Question

Consider a particle of mass m moving in the one-dimensional potential V(x)=Aδ(x) for |x|

Answer 1

"A potential that is linear in x implies a constant force.

So, the particle will move along the x axis with a constant acceleration, its momentum will keep on increasing to infinity.

Problem would be similar to a charged particle in a constant electric field.

The most accurate answer will be zero (0).

"