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Models of Quantum MatterA First Course on Integrability and the Bethe Ansatz$
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Hans-Peter Eckle

Print publication date: 2019

Print ISBN-13: 9780199678839

Published to Oxford Scholarship Online: September 2019

DOI: 10.1093/oso/9780199678839.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 15 December 2019

Quantum Many-Particle Systems and Second Quantization

Quantum Many-Particle Systems and Second Quantization

Chapter:
(p.5) 2 Quantum Many-Particle Systems and Second Quantization
Source:
Models of Quantum Matter
Author(s):

Hans-Peter Eckle

Publisher:
Oxford University Press
DOI:10.1093/oso/9780199678839.003.0002

Chapter 2 provides a review of pertinent aspects of the quantum mechanics of systems composed of many particles. It focuses on the foundations of quantum many-particle physics, the many-particle Hilbert spaces to describe large assemblies of interacting systems composed of Bosons or Fermions, which lead to the versatile formalism of second quantization as a convenient and eminently practical language ubiquitous in the mathematical formulation of the theory of many-particle systems of quantum matter. The main objects in which the formalism of second quantization is expressed are the Bosonic or Fermionic creation and annihilation operators that become, in the position basis, the quantum field operators.

Keywords:   quantum many-particle physics, many-particle Hilbert space, Bosons, Fermions, second quantization, creation operator, annihilation operator, quantum field operator

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