Four years after publication of the Schrödinger equation, Lev Davidovich Landau, age 23, solved the equation for a charged particle moving in a uniform magnetic field. A single electron moving perpendicular to a field B can be considered as a model atom without a nucleus, or as the irreducible quantum limit of the cyclotron. Landau proved that its energy is quantized in uniform steps of eħB/me. Gerald Gabrielse traps a single electron in an evacuated centimeter-size metal can cooled to a temperature of 86 mK. In a magnetic field of magnitude 5.29 T, the electron circulates for hours in its lowest energy level, generating a measurable signal as it moves. Evaluate the size of a quantum jump in the electron's energy. State your answer to the nearest micro electron Volt (µeV).

Four years after publication of the Schrödinger equation, Lev Davidovich Landau, age 23, solved the equation for a charged particle moving in a uniform magnetic field. A single electron moving perpendicular to a field B can be considered as a model atom without a nucleus, or as the irreducible quantum limit of the cyclotron. Landau proved that its energy is quantized in uniform steps of eħB/me. Gerald Gabrielse traps a single electron in an evacuated centimeter-size metal can cooled to a temperature of 86 mK. In a magnetic field of magnitude 5.29 T, the electron circulates for hours in its lowest energy level, generating a measurable signal as it moves. Evaluate the size of a quantum jump in the electron's energy. State your answer to the nearest micro electron Volt (µeV).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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