Question

Consider a particle of mass m and energy E approaching the step potential? V (x)= 0,...

Consider a particle of mass m and energy E approaching the step potential?

V (x)= 0, x<0   

V(x)=V0, x>0

from negative values of x. Consider the case E > V0. a) Classically, what is the probability of re?ection? b) Quantum mechanically, what is the probability of re?ection? Express your result in terms of the ratio V0/E. What is the probability of re?ection if E = 2V0?

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Answer #1

If then the particle will not be reflected at all calssically. Hence the classical probability of reflection is R = 0

Quantum probability of reflection is

where

and

where

Therefore the quantum probability is

when

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