Advances in Quantum Mechanics

Contemporary Trends and Open Problems

  • Alessandro Michelangeli
  • Gianfausto Dell'Antonio

Part of the Springer INdAM Series book series (SINDAMS, volume 18)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Naiara Arrizabalaga
    Pages 1-14
  3. Costanza Benassi, Benjamin Lees, Daniel Ueltschi
    Pages 15-31
  4. Fabio Benatti
    Pages 33-45
  5. M. Burrello, L. Lepori, S. Paganelli, A. Trombettoni
    Pages 47-70
  6. Claudio Cacciapuoti, Davide Fermi, Andrea Posilicano
    Pages 71-97
  7. Phan Thành Nam, Marcin Napiórkowski
    Pages 223-238
  8. M. Olivieri, D. Finco
    Pages 267-281

About this book


This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrödinger equations, topological invariants, non-commutative geometry, resonances and operator extension theory, among others. Most of contributors are international leading experts or respected young researchers in mathematical physics, PDE, and operator theory. All their material is the fruit of recent studies that have already become a reference in the community. Offering a unified perspective of the mathematics of quantum mechanics, it is a valuable resource for researchers in the field.


Linear and non-linear Schroedinger equations Effective quantum many-body dynamics Topological and geometrical methods in solid state physics Mathematical challenges of sero-range interactions Modern problems of self-adjointness in quantum mechanics

Editors and affiliations

  • Alessandro Michelangeli
    • 1
  • Gianfausto Dell'Antonio
    • 2
  1. 1.International Sch. for Advanced StudiesSISSATriesteItaly
  2. 2.International Sch. for Advanced StudiesSISSA and Sapienza University of RomeTriesteItaly

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