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Macroscopic Limits of Quantum Systems

  • Kartonierter Einband
  • 268 Seiten
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Based on the workshop of the same name, this proceedings volume presents selected research investigating the mathematics of collec... Weiterlesen
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Beschreibung

Based on the workshop of the same name, this proceedings volume presents selected research investigating the mathematics of collective phenomena emerging from quantum theory at observable scales. Featured contributions from leading scientists provide a thorough overview of current and active research. Methods from functional analysis, spectral theory, renormalization group theory, and variational calculus are used to prove rigorous results in quantum physics. Topics include superconductivity and mathematical aspects of the BCS theory, the Jellium model and Bose-Einstein condensation, among others. Presenting technical details in an accessible way, this book serves as an introduction to research for advanced graduate students and is suitable for specialists in mathematical physics.
The workshop Macroscopic Limits of Quantum Systems was held over three days in the spring of 2017 at the Technical University of Munich. The conference celebrated the achievements of Herbert Spohn and his reception of the Max Planck Medal.


Investigates the mathematics of collective phenomena emerging from quantum theory at observable scales

Highlights fruitful connections to functional analysis, spectral theory, statistical mechanics, and variational calculus

Presents technical details in an accessible way to advanced graduate students



Inhalt
Preface.- Lukkarinen, J.: Kinetic theory and thermalization of weakly interacting fermions.- Hainzl, C. and Frank, R.: The BCS critical temperature in a weak external electric field via a linear two-body operator.- Jeblick, M., Mitrouskas, D., and Pickl, P.: Effective dynamics of two tracer particles coupled to a Fermi gas in the high-density limit.- Saffirio, C.: Mean-field evolution of fermions with singular interaction.- Napiórkowski, M.: Recent advances in the theory of Bogoliubov Hamiltonians.- Pizzo, A.: Multi-scale analysis in the occupation numbers of particle states: an application to threemodes Bogoliubov Hamiltonians.- Lewin, M., Nam, P. T., Rougerie, N.: Blow-up profile of rotating 2d focusing Bose Gases.- Schlein, B.: Gross-Pitaevskii Evolution for Bose-Einstein Condensates.- Leopold, N. and Pickl, P.: Mean-field limits of particles in interaction with quantized radiation fields.- Lein, M.: Taking inspiration from quantum-wave analogiesRecent results for photonic crystals.- Panati, G.: The localization dichotomy for gapped periodic systems and its relevance for macroscopic transport.

Produktinformationen

Titel: Macroscopic Limits of Quantum Systems
Untertitel: Munich, Germany, March 30 - April 1, 2017
Editor:
EAN: 9783030131876
ISBN: 3030131874
Format: Kartonierter Einband
Herausgeber: Springer International Publishing
Anzahl Seiten: 268
Gewicht: 411g
Größe: H235mm x B155mm x T14mm
Jahr: 2019
Auflage: Softcover reprint of the original 1st ed. 2018

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