Question

probabilities. A box containing a particle is divided into a right and left compartment by a thin 2. partition If the particle is known to be on the right (left) side with certainty, the state is represented by the position eigenket |R)=|, ||2)=|, .T The particle can tunnel through the partition; this tunneling effect is characterized by the Hamiltonian -) 0 A Н%D where A is a real number with the dimension of energy. Suppose at t 0 the particlé is on the right side with certainty. at a later time t. (a) Write down the state vector (b) What is the probability for observing the particle on the left side as a function of time?

Answer 1

(.) ad l-(:) (2) L Hoilonin ignwalues C i#t hen -0 -4 - 4a n2-. put it naing eal inilanghn ( -A +b Fe) a

and At to, t)- te)- )- a- b at 2 OL + Cas + e 2. -e 2 (b)mbabikl lvrmg afrih nhullifdand