 Solution

ID: past-exam-of-the-condensed-matter-physics-major-option-course-of-the-university-of-oxford/2019/1/c/iii/solution

Comparing the two coefficients in the reciprocal-coordinate transformation gives

α = β = \frac{1}{2} .

The inverse transformation is

h_{r} = h_{p} + k_{p}

k_{r} = k_{p} - h_{p}

. This provides an independent check on the signs associated with the two primitive arrows in the source.

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