Consider the following wave function. (x) = E = B sin(- TT X a 2 TTX −) + C · sin(² a a. Does this function describes a particle-in-a-box acceptable wave function? Name the conditions to be fulfilled. b. Is this function an eigenfunction of the total energy operator H when H is the Hamilton operator.
Consider the following wave function. (x) = E = B sin(- TT X a 2 TTX −) + C · sin(² a a. Does this function describes a particle-in-a-box acceptable wave function? Name the conditions to be fulfilled. b. Is this function an eigenfunction of the total energy operator H when H is the Hamilton operator.
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Transcribed Image Text:Consider the following wave function.
TT X
a
= B sin(-
(x) = E
2 π.χ.
a
−) + C · sin(²
a. Does this function describes a particle-in-a-box acceptable wave function? Name
the conditions to be fulfilled.
b. Is this function an eigenfunction of the total energy operator H when H is the
Hamilton operator.
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