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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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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