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Oxford University Press eBooks

Rotational motion in two dimensions

Peter Joshua Atkins, Julio de Paula, Ronald Friedman

Published Dec 12, 2013• 0 citations
Publisher

Abstract

Contents A particle on a ring 103 Brief illustration 13.1: The moment of inertia 104 The qualitative origin of quantized rotation 105 Brief illustration 13.2: The rotational energies 106 The solutions of the Schrödinger equation 106 Example 13.1: Using the particle-on-a-ring model...
DOI
10.1093/hesc/9780199609819.003.0018

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Oxford University Press eBooks•Dec 12, 2013•0 citations
This chapter focuses on the concept of rotational motion. It explains that energy and angular momentum for a particle rotating in two- or three-dimensions are quantized and satisfied cyclic boundary conditions, which imply the quantization of angular momentum's magnitude and z-component. The electronic structure of atoms showcases rotational motion because electrons orbit around nuclei and spin on their axis. The chapter details the solutions for the Schrödinger equation and the vector model of angular momentum. It also discusses the concept of space quantization revolving around the quantum mechanical result of a rotating body that may not take up an arbitrary orientation concerning some specified axis.
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