 Solution

ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2017/s3/2/1/solution

For a stationary nonrelativistic state,

[- ℏ^{2} \nabla^{2} / (2 m) + V (r)] ψ = E ψ

ψ

m

the particle mass and

E

V

is measured in the same energy units. In one dimension the Laplacian becomes

d^{2} / d x^{2}

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