A Guide to Physics Problems. Part 2. Thermodynamics, Statistical Physics, and Quantum Mechanics

308 SOLUTIONS

The last integral equals Writing we find

We have to determine E. Equation (S.5.55.5) is a quadratic equation for
the variable Solving the quadratic by the usual formula gives the final
result:

5.56 Ramp Potential (Tennessee)

We use (S.5.54.1) and (S.5.54.2) as the starting point. In the present prob-
lem, and so

Since the integral is symmetric, we can write it as

Remembering that we obtain the final result: