When you make a linear superposition like this ψ(r,t)=h−23∫[C+(p)e−iωt+C−(p)eiωt]e(ip⋅r/ℏ)d3p where ω=1ℏ(c2p2+m2c4)12, the exponential factors are transparent to the integration?. And if I calculate the expectation value of the momentum gradient operator like this <^∇p>=∫∫d3pd3q(ϕ(q,t)^∇pϕ(p,t)) where ϕ(p,t)=C+(p)e−iωt+C−(p)eiωt then, the gradient operator acts on the exponentials, being ω a function of p?
Closed as per community consensus as the post is
Not graduate-level upwards