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Springer INdAM Series

Advances in Quantum Mechanics

Contemporary Trends and Open Problems

Editors: Michelangeli, Alessandro, Dell'Antonio, Gianfausto (Eds.)

  • Includes high-level research topics in emerging areas
  • Offers a unique perspective at the interface of math and physics
  • Written by leaders in the field
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  • ISBN 978-3-319-58904-6
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Hardcover $119.00
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  • ISBN 978-3-319-58903-9
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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.

About the authors

Prof Gianfausto Dell'Antonio’s research focuses on axiomatic quantum field theory, local field theory, mathematics of quantum mechanics, critical point theory, stochastic processes, singular interactions, and many-body problems. He graduated in theoretical physics in Milan, was research associate in Copenhagen (Niels Bohr institute), Zurich (ETH), and Evanson (Northwestern), then professor of theoretical physics in Naples and professor of rational mechanics and mathematical physics at La Sapienza Rome. He held visiting professorships at the IHES Paris, Courant Insitute NY, The University of Marseille Luminy, Bielefeld University (as a recipient of a von Humboldt prize), CERN, SISSA Trieste, and the Interdisciplinary Laboratory of the Accademia dei Lincei. He held also visiting positions at the IAS Princeton, Ecole Politechnique Paris, Paris Dauphine, Harvard University, and the Max Planck Institute in Munich.

Dr Alessandro Michelangeli’s research is in the fiel

d at the interface between mathematical physics, functional analysis and non-linear dispersive PDE, and operator theory, with a special focus on the mathematical methods for quantum mechanical and condensed matter systems. He graduated in theoretical physics in Pisa and then mathematical physics at SISSA Trieste, held faculty positions at the LMU Munich and SISSA Trieste, and visiting positions at the University of Cambridge, SISSA Trieste, and Bilkent.


Table of contents (17 chapters)

  • Shell Interactions for Dirac Operators

    Arrizabalaga, Naiara

    Pages 1-14

  • Correlation Inequalities for Classical and Quantum XY Models

    Benassi, Costanza (et al.)

    Pages 15-31

  • Dissipatively Generated Entanglement

    Benatti, Fabio

    Pages 33-45

  • Abelian Gauge Potentials on Cubic Lattices

    Burrello, M. (et al.)

    Pages 47-70

  • Relative-Zeta and Casimir Energy for a Semitransparent Hyperplane Selecting Transverse Modes

    Cacciapuoti, Claudio (et al.)

    Pages 71-97

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-319-58904-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-58903-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Quantum Mechanics
Book Subtitle
Contemporary Trends and Open Problems
Editors
  • Alessandro Michelangeli
  • Gianfausto Dell'Antonio
Series Title
Springer INdAM Series
Series Volume
18
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-58904-6
DOI
10.1007/978-3-319-58904-6
Hardcover ISBN
978-3-319-58903-9
Series ISSN
2281-518X
Edition Number
1
Number of Pages
IX, 293
Number of Illustrations and Tables
14 b/w illustrations
Topics