Q3. Consider an infinite potential well of width d. In transitions between neighboring values of n, particles of mass that is in a position state as: 2nx e-iwit d f(x.t) = + 20m- (a) Proof that f(x.t) is still normalized for all value of t. (b) Find the probability distribution P(x. t) = \f(x.t)l?
Q3. Consider an infinite potential well of width d. In transitions between neighboring values of n, particles of mass that is in a position state as: 2nx e-iwit d f(x.t) = + 20m- (a) Proof that f(x.t) is still normalized for all value of t. (b) Find the probability distribution P(x. t) = \f(x.t)l?
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Transcribed Image Text:Q3. Consider an infinite potential well of width d. In transitions between neighboring
values of
n, particles of mass that is in a position state as:
2nx
f(x.t) =
e-iwot +
-iwit
sin
d
(a) Proof that f(x.t) is still normalized for all value of t.
(b) Find the probability distribution P(x. t) = \f(x.t)[²
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