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Atomic and Laser Spectroscopy$
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Alan Corney

Print publication date: 2006

Print ISBN-13: 9780199211456

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780199211456.001.0001

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Review of quantum mechanics

Review of quantum mechanics

Chapter:
(p.52) 3 Review of quantum mechanics
Source:
Atomic and Laser Spectroscopy
Author(s):

Alan Corney

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199211456.003.0003

This chapter derives the quantum mechanical wave functions which describe the energy levels of simple atoms. Schrödinger's equation is introduced as well and the angular part of the equation is solved for spherically symmetric potentials. The orbital angular momentum operator is defined and the concept of intrinsic spin is introduced. The extension of these results to atoms with several electrons using the central-field approximation is introduced. Spectroscopic notation for Russell-Saunders coupling is discussed.

Keywords:   Schrödinger wave equation, orbital angular momentum, spin angular momentum, many-electron atoms

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