Suppose where B 0 and K are constants.(a) Find the fields E and B.(b) Find the allowed energies, for a particle of mass m and charge q, in these fields. where 1 qB 0 /m and 2 In two dimensions (x and y, with K = 0) this is the quantum analog to cyclotron motion;
Chapter 4, Problems #43
Suppose
where B0 and K are constants.
(a) Find the fields E and B.
(b) Find the allowed energies, for a particle of mass m and charge q, in these fields.
where ω1 Ξ qB0/m and ω2 Ξ 
In two dimensions (x and y, with K = 0) this is the quantum analog to cyclotron motion; ω1 is the classical cyclotron frequency, and ω2 is zero. The allowed energies, (n1 + 1/2) ћω1, are called Landau Levels.
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Answer
(a) (b) For time-independent potentials Eq. 4.191 separates in the usual way: This is the time-indep…View the full answer
Related Book For 
Introduction To Quantum Mechanics
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
ISBN: 9781107189638