 Solution

ID: past-exam-of-the-physics-course-of-the-year-4-of-the-natural-sciences-course-of-the-university-of-cambridge/2012/paper-1/section-a/a1/a/solution

The probability density is proportional to

∣ a + i x ∣^{2} = a^{2} + x^{2}

, not to the complex amplitude itself. For equal small intervals approached from inside the support,

P_{0} : P_{a} = a^{2} : 2 a^{2} = 1 : 2.

 New to topics? Read the docs here!