Consider a free particle of mass m in one dimension.

问题描述:

Consider a free particle of mass m in one dimension.
Calculate it's propagator in momentum space:.This propagator is the probability amplitude for a system originally prepared to be in state | Pa> at t=ta to be found in state | Pb> at a later time t=tb.

|a,t>=exp[(-iH(t-t0))/h] |a,t0>we defined K(p'',t;p',t0) satisfying φ(p'',t)=∫dp' {Kφ(p',t0)}//φ(p'',t):=we can show:K= is a eigenfunction of Hamiltonian which means it can be a stationary state...