Coherent states (CS) have enjoyed during the recent years a considerable development in many avenues of physics and they have grown into a flourishing topic in mathematics, in particular, at the interface of the latter with physics (e.g. quantization methods). A number of textbooks have been devoted to them, as well as a special issue of Journal of Physics A: theoretical and mathematical in 2012. In view of the fast progress that has taken place, it seems that it is now time to assess the situation and survey the recent developments.

Scientific & Organizing Committee

Jean-Pierre Antoine (Université catholique de Louvain)
Fabio Bagarello (University of  Palermo)
Jean-Pierre Gazeau (Université Paris Diderot)
S. Twareque Ali (Concordia University) – Deceased on January 24, 2016

Speakers

• Paolo Aniello (University of Naples Federico II)

Square integrable representations, an invaluable tool: from coherent states to quantum mechanics on phase space

• Isiaka Aremua (Université de Lomé, Togo)

su (1,1) coherent states for Landau levels: Physical and mathematical description

• Benjanmin Bahr (University of Hamburg)

Renormalization in spin foam quantum gravity with coherent states

• Hervé Bergeron (Université Paris-Sud)

Affine Coherent State Quantization and Quantum Cosmology

• Pierre Bieliavsky (Université catholique de Louvain)

Coherent states and non-commutative surfaces in higher genera

• Giulio Chiribella (The University of Hong Kong)

New applications of coherent states in quantum information theory

• Evaldo M. F. Curado (Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro

Construction of linear and nonlinear coherent states using GHA

• Ewa Czuchry (University of Warsaw)

Regularised Bianchi IX potential

• Ingrid Daubechies (Duke University)

Phase retrieval in infinite dimensions

• Stéphan De Bièvre (Université de Lille 1)

Entanglement of quantum circular states of light

• Mariano del Olmo (University of Valladolid)

Covariant integral quantization of the unit disk

• Viktor Dodonov (University of Brasilia)

Coherent and minimum energy states of a charged particle in a uniform magnetic field

• Miroslav Englis (Mathematics Institute, Prague)

Hankel operators and the Dixmier trace on the Hardy space

• Michaël Fanuel (KU Leuven)

Coherent states, Support Vector Machines and function estimation

• Hartmut Führ (RWTH Aachen)

Wavelet Approximation Theory in Higher Dimensions

• Andreas Fring (City University London)

Coherent states for unitary quantum evolution for time-dependent

• Katarzyna Górska (Polish Academy of Sciences)

Hermite polynomials in two complex variables Mathematical properties

• Julio Guerrero (University of Murcia)

Non-Hermitian coherent states for finite-dimensional systems

• Brian Hall (University of Notre-Dame)

Coherent state transforms for compact groups, and their large-N limits

• Andrzej Horzela (Polish Academy of Sciences)

Hermite polynomials in two complex variables

• Véronique Hussin (Université de Montréal)

Coherent states for supersymmetric partners of solvable systems

• Alain Joye (Université Grenoble Alpes)

Representations of CCR describing infinite coherent states

• John Klauder (University of Florida)

Enhanced Quantization: The Right Way to Quantize Everything

• A.B. Klimov (University of Guadalajara)

Wigner-like function for variable spin systems: semiclassical limit and asymptotic quantization

• Przemysław Małkiewicz (Université Paris Diderot & University Warsaw)

Coherent states in a study of time problem

• Ugo Moschella (Università degli Studi dell’Insubria)

Two dimensional de Sitter spinors and their SL (2,R) covariance

• Zouhaïr Mouayn (Sultan Moulay Slimane University)

Orthogonal polynomials attached to coherent states for the symmetric Pöschl-Teller oscillator

• Anatol Odzijewicz (University of Bialystok)

Classical and quantum Kummer shape algebras

• Robert Oeckl (UNAM)

Fermionic coherent states in infinite dimensions

• Carlo Rovelli (CPT Aix-Marseille Université)

The essential role of coherent states in quantum gravity

• Barry Sanders (University of Calgary)

Spacetime replication of continuous-variable quantum information

• Dey Sanjib (Université de Montréal)

Higher order squeezing of noncommutative q-photon-added coherent states

• Michael Speckbacher (Acoustics Research Institute, Vienna)

Reproducing pairs and Gabor systems at critical density

• Mauro Spera (UCSC Brescia)

Geometric aspects of coherent states

• Simone Speziale (Aix-Marseille Université)

Coherent states in Loop Quantum Gravity and phase spaces of shapes of polyhedra

• Franciszek Szafraniec (Jagiellonian University Krakow)

The anatomy of coherent states

• Kengatharam Thirulogasanthar (Concordia University)

Coherent state quantization and the Heisenberg uncertainty relation in the quaternionic setting

• Felix Voigtlaender (TU Berlin)

Shearlets: Theory, applications and generalizations

• Apostol Vourdas (University of Bradford)

Coherent spaces, Boolean rings and their applications

• Karol Zyczkowski (Jagiellonian University Krakow)

Finite dimensional Hilbert space: Spin Coherent, Basis Coherent and Anti-coherent states

In memoriam S. Twareque Ali
Jean-Pierre Antoine (pdf)
Fabio Bagarello   (pdf)
Gerald A. Goldin   (pdf)