Thermodynamics, Statistical Physics, and Quantum Mechanics

330 SOLUTIONS

above expression as

So, we obtain

The total energy is plus the kinetic energy along the The
of the eigenfunction is a harmonic oscillator

c) In order to find the average velocity, we take a derivativewith respect
to the wave vector

This is the drift velocity in the It agrees with the classical
answer.

5.76 Josephson Junction (Boston)

a) Take the first of equations (P.5.76.1),

and its complexconjugate and multiplythem by and respectively:

Subtracting (S.5.76.3)from (S.5.76.2) yields