Macroscopic Limits of Quantum Systems (eBook)

Munich, Germany, March 30 - April 1, 2017

Daniela Cadamuro, Maximilian Duell, Wojciech Dybalski, Sergio Simonella (Herausgeber)

eBook Download: PDF

2018 | 1st ed. 2018
VIII, 257 Seiten
Springer International Publishing (Verlag)
978-3-030-01602-9 (ISBN)

Infos

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.

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 analogies—Recent results for photonic crystals.- Panati, G.: The localization dichotomy for gapped periodic systems and its relevance for macroscopic transport.

Produkt-Details

• Erscheint lt. Verlag: 26.10.2018
• Reihe/Serie: Springer Proceedings in Mathematics & Statistics
• Reihe/Serie: Springer Proceedings in Mathematics & Statistics
• Zusatzinfo: VIII, 257 p. 1 illus.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Schlagworte: Boltzmann-type equations • Bosonic systems • fermionic systems • Functional Analysis • Macroscopic Limits • mathematical aspects of BCS theory • polaron model • Proceedings • quantum systems • Quantum Theory • Renormalization Group Techniques • spectral theory • Statistical Mechanics • Superconductivity • theory of indirect measurements • variational calculus
• ISBN-10: 3-030-01602-1 / 3030016021
• ISBN-13: 978-3-030-01602-9 / 9783030016029