Question
Calculate the expectation (average) value of the energy of a particle of mass m confined to move in a one-dimensional box of width a and infinite height with potential energy zero inside the box. The normalized wave function of the particle is
ψₙ(x) = (2/a)¹/² sin(nπx/a)
Where, n = 1, 2, 3...
Answer :
Word Count : 119
For a particle of mass $m$ in a one-dimensional infinite potential box of width $a$, the Hamiltonian is $\hat{H} = -\frac{\hbar^2}{2m} \frac{d^2}{dx^2}$. The expectation value of the energy for ___ _______ ____ __________ ______ ________.
_______ ________ __________ ______ ______ ___ ____ ___ _______ __________ __________ _______.
______ __________ _____ ____ _______ ____.
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___ _____ ________ ______ ____ _______ _______ _____ _______ ____ __________.
__________ ______ _______ ___ _________ __________.
_______ _______ ______ ___ _______ ____.
________ _______ _______ ________ __________ _________ ___ _________.
________ ____ _______ ___ __________ _________.
______ _________ ____ ____ ___ ________ _________ _____ ________ __________ _________.
______ ________ _________ __________ __________ ________ ______ ________ ______ ____ ______.
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For a particle of mass $m$ in a one-dimensional infinite potential box of width $a$, the Hamiltonian is $\hat{H} = -\frac{\hbar^2}{2m} \frac{d^2}{dx^2}$. The expectation value of the energy for ___ _______ ____ __________ ______ ________.
_______ ________ __________ ______ ______ ___ ____ ___ _______ __________ __________ _______.
______ __________ _____ ____ _______ ____.
_____ _________ _______ _________ _________ ____ _____.
___ _____ ________ ______ ____ _______ _______ _____ _______ ____ __________.
__________ ______ _______ ___ _________ __________.
_______ _______ ______ ___ _______ ____.
________ _______ _______ ________ __________ _________ ___ _________.
________ ____ _______ ___ __________ _________.
______ _________ ____ ____ ___ ________ _________ _____ ________ __________ _________.
______ ________ _________ __________ __________ ________ ______ ________ ______ ____ ______.
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