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Consider a particle of mass m in a l-dimensional infinite square well potential 0, = { 0, (-a

Consider a particle of mass m in a l-dimensional infinite square well potential 0, = { 0, (-a

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Consider a particle of mass m in a 1-dimensional infinite square well potential 0, (-a < x <a) V (x) = 00, elsewhere At time t=0, the particle is in a state described by the wave function А(а + х), —а <r<0 А(а — х), 0 <I<a 0, V (x,0) = elsewhere where A = constant. (a) Find the probability that the particle will be found in the ground state at a later time. (b) Calculate the probability that an energy measurement will yield the energy of the first excited state.
Transcribed Image Text:Consider a particle of mass m in a 1-dimensional infinite square well potential 0, (-a < x <a) V (x) = 00, elsewhere At time t=0, the particle is in a state described by the wave function А(а + х), —а <r<0 А(а — х), 0 <I<a 0, V (x,0) = elsewhere where A = constant. (a) Find the probability that the particle will be found in the ground state at a later time. (b) Calculate the probability that an energy measurement will yield the energy of the first excited state.
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