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Quantum Field Theory for the Gifted Amateur$
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Tom Lancaster and Stephen J. Blundell

Print publication date: 2014

Print ISBN-13: 9780199699322

Published to Oxford Scholarship Online: June 2014

DOI: 10.1093/acprof:oso/9780199699322.001.0001

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Simple harmonic oscillators

Simple harmonic oscillators

(p.19) 2 Simple harmonic oscillators
Quantum Field Theory for the Gifted Amateur

Tom Lancaster

Stephen J. Blundell

Oxford University Press

The simple harmonic oscillator is well known from basic quantum physics as an elementary model of an oscillating system. The chapter solves this simple model using creation and annihilation operators and shows that the solutions have the characteristics of particles. Linking masses by springs into a chain allows for a generalization of this problem and the solutions are phonons.

Keywords:   simple harmonic oscillator, creation operators, annihilation operators, phonons, second quantization

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