Fair is foul, and foul is fair:

MacbethAndBanquo-Witches

http://en.wikipedia.org/wiki/Macbeth

So perhaps something very easy for one is very difficult for others, and vice versa.

7d435462d91594eed0a07d47c36a5cbd

http://en.wikipedia.org/wiki/Perturbation_theory_(quantum_mechanics)

The equation itself should not be difficult to understand even for undergraduate students, but it took me several hours to solve a simple example such as:

capture_002_02112014_214350

The problem is a harmonic oscillator (the first and second terms of the right-hand side) with a perturbation proportional to x (the third term).

If you only notice that the operator x can be replaced by the lowering and raising operators, you will immediately get:

capture_004_02112014_221429

This is because there are only two non-zero terms in the summation (the third term of the right-hand side of the first equation). Although k goes from 0 to infinity, non-zero terms appear only when k=n-1 and k=n+1.