# 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 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 ω_{1} Ξ qB_{0}/m and ω_{2} Ξ In two dimensions (x and y, with K = 0) this is the quantum analog to cyclotron motion; ω_{1 }is the classical cyclotron frequency, and ω_{2} is zero. The allowed energies, (n_{1} + 1/2) ћω_{1}, are called Landau Levels.

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**Related Book For**

## Introduction To Quantum Mechanics

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

ISBN: 9781107189638