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7.10 A particle of charge e moves in a central potential V(r) superimposed onto a uniform magnetic field B whose vector potential is A = B x r/2. (a) Show that if B is a weak field, so that effects proportional to B² can be neglected, then p- + VIr) — д - В, 2m H(r, p) = where -rxp. -r × 2mc

7.10 A particle of charge e moves in a central potential V(r) superimposed onto a uniform magnetic field B whose vector potential is A = B x r/2. (a) Show that if B is a weak field, so that effects proportional to B² can be neglected, then p- + VIr) — д - В, 2m H(r, p) = where -rxp. -r × 2mc

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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7.10 A particle of charge e moves in a central potential V(r) superimposed onto a uniform magnetic field B whose vector potential is A = B × r/2. (a) Show that if B is a weak field, so that effects proportional to B² can be neglected, then p² + Vr)-μ. Β , 2m H(r, p) = where e -r × 2mc -rxp. (b) Write down Hamilton's equations in this approximation.
Transcribed Image Text:7.10 A particle of charge e moves in a central potential V(r) superimposed onto a uniform magnetic field B whose vector potential is A = B × r/2. (a) Show that if B is a weak field, so that effects proportional to B² can be neglected, then p² + Vr)-μ. Β , 2m H(r, p) = where e -r × 2mc -rxp. (b) Write down Hamilton's equations in this approximation.
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