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=t
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![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=t](/uploads/image/z/9568039-31-9.jpg?t=Consider+a+free+particle+of+mass+m+in+one+dimension.Calculate+it%27s+propagator+in+momentum+space%3A.This+propagator+is+the+probability+amplitude+for+a+system+originally+prepared+to+be+in+state+%7C+Pa%3E+at+t%3Dta+to+be+found+in+state+%7C+Pb%3E+at+a+later+time+t%3Dt)
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=t
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.
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=t
|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.
and the position of that state should have infinete uncertainly accounting for uncertainly principle.