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Quantum Mechanics$
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P.J.E. Peebles

Print publication date: 2019

Print ISBN-13: 9780691209821

Published to Princeton Scholarship Online: May 2021

DOI: 10.23943/princeton/9780691209821.001.0001

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PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 17 May 2022

Scattering Theory

Scattering Theory

Chapter:
(p.359) Chapter 7 Scattering Theory
Source:
Quantum Mechanics
Author(s):

P.J.E. Peebles

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691209821.003.0007

This chapter studies applications drawn from scattering theory. A powerful and commonly used way to explore the interaction between particles is to study the way they scatter off each other. In the scattering problems considered here, motions are non-relativistic and particles are conserved: two particles move together, interact, and then move apart again. It is assumed that the range of the interaction is finite, so when the particles are well separated they move freely. In a scattering experiment, one imagines that the particles approach each other as wave packets with fairly definite momenta and positions. The motion is initially free, because the particles are separated by great distances compared to the range of their interaction. As the wave packets move together, the particles interact through a potential V that is some function of the particle separation. The wave packets then move apart in a scattering pattern that is determined by the interaction potential. The chapter simplifies the partial wave analysis by concentrating on s-wave scattering; this allows an easy treatment of interesting effects such as resonances and absorption.

Keywords:   scattering theory, particles, motions, wave packets, particle separation, particle interaction, partial wave analysis, s-wave scattering, resonances, absorption

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