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Shell Interactions for Dirac Operators Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory

Authors : Phan Thành Nam, Marcin Napiórkowski

Published in: Advances in Quantum Mechanics

Publisher: Springer International Publishing

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Abstract

We review some recent results on the norm approximation to the Schrödinger dynamics. We consider N bosons in \(\mathbb{R}^{3}\) with an interaction potential of the form N 3β−1 w(N β (x − y)) with 0 ≤ β < 1∕2, and show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation.

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Metadata
Title
Norm Approximation for Many-Body Quantum Dynamics and Bogoliubov Theory
Authors
Phan Thành Nam
Marcin Napiórkowski
Copyright Year
2017
Book
Advances in Quantum Mechanics

Print ISBN: 978-3-319-58903-9

Electronic ISBN: 978-3-319-58904-6

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-58904-6_13

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