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Practical Quantum MechanicsModern Tools and Applications$
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Efstratios Manousakis

Print publication date: 2015

Print ISBN-13: 9780198749349

Published to Oxford Scholarship Online: December 2015

DOI: 10.1093/acprof:oso/9780198749349.001.0001

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Identical particles

Identical particles

(p.236) 25 Identical particles
Practical Quantum Mechanics

Efstratios Manousakis

Oxford University Press

This chapter discusses the case of a many-body system of identical particles. It considers the consequencies of the symmetry of the Hamiltonian under particle permutations in this case. It discusses how to build many-body Boson and Fermion states. It then introduces the formalism of so-called second quantization, which is usefu, in the case of identical particles. It also expresses the many-body Hamiltonian in terms of creation and annihilation operators.

Keywords:   identical particles, Fermions, Bosons, Slater determinants, second quantization, creation operators, annihilation operators

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