Question

Please solve 12.5 and 12.6

Apply the gauge transformation generated by taking 12.5 to the potentials (12.64), where B is taken to be parallel to the z-axis, and show that the transformed time-independent Schrödinger equation, for a spinless particle of charge q-e and mass m, is mx2m 2m 12.6 By substituting into the Schrödinger equation of the previous problem, show that the energy eigen- values are given by h2k2 2m E(2r Io 0,1,2.... where (B/)B is the Larmor angular frequency. This is the same result as (12.84) if the term in ms is omitted.

Answer 1

2.M 2、う m X

-s is an 210