The Second International Workshop on Harmonic Oscillators was held at the Hotel Hacienda Cocoyoc from March 23 to 25, 1994. The Workshop gathered 67 participants; there were 10 invited lecturers, 30 plenary oral presentations, 15 posters, and plenty of discussion divided into the five sessions of this volume. The Organizing Committee was asked by the chairman of several Mexican funding agencies what exactly was meant by harmonic oscillators, and for what purpose the new research could be useful. Harmonic oscillators - as we explained - is a code name for a family of mathematical models based on the theory of Lie algebras and groups, with applications in a growing range of physical theories and technologies: molecular, atomic, nuclear and particle physics; quantum optics and communication theory.
The Second International Workshop on Harmonic Oscillators was held at the Hotel Hacienda Cocoyoc from March 23 to 25, 1994. The Workshop gathered 67 participants; there were 10 invited lecturers, 30 plenary oral presentations, 15 posters, and plenty of discussion divided into the five sessions of this volume. The Organizing Committee was asked by the chairman of several Mexican funding agencies what exactly was meant by harmonic oscillators, and for what purpose the new research could be useful. Harmonic oscillators - as we explained - is a code name for a family of mathematical models based on the theory of Lie algebras and groups, with applications in a growing range of physical theories and technologies: molecular, atomic, nuclear and particle physics; quantum optics and communication theory.
This topical issue of Quantum and Semiclassical Optics contains a series of articles presented at the workshop ` Second Order Nonlinear Optics: from Fundamentals to Applications', held in l'Ecole de Physique des Houches (Haute-Savoie, France) from 22 to 26 April 1996. The recent development of new laser sources, such as diode-pumped solid-state lasers, and the availability of new highly nonlinear materials (including artificial materials based on quasi-phase-matched techniques) has induced a revival of the field of second order nonlinear optics. This research covers a broad spectrum, ranging from fundamentals (generation of nonclassical states of light, amplification without added noise, frequency division chain, etc.) to applications (spectroscopy, teledetection, metrology, communications, etc.), through the development of new light sources (coherent and tunable, pulsed or continuous wave) and of new optronic devices. The purpose of this workshop was to gather together researchers from different cultures and horizons (fundamental and applied research, industry) who contribute to the dissemination of advanced knowledge and the formation of contacts among scientists from different countries. A significant effort was made by the lecturers to give talks that could be easily understood by nonspecialists of the domain and to cover in a synthetic way the different aspects of second order nonlinear optics. The topics cover both physics and engineering aspects of the field and present an up-to-date survey of current research in second order nonlinear optics. The 72 participants from 13 countries attended 29 lectures presented by 27 lecturers over five extensive working days in an informal and fruitful way. Participants were given a chance to present their own work through 24 poster papers in two very lively sessions. The Editors would like to thank the authors for their excellent contributions to this volume. The organisers are grateful for the help of many organisations in the success of the school. The principal sponsors were CNRS, CEA, DRET, Ministère de l'Enseignement Supérieur et de la Recherche, the European Community (EC) and THOMSON-CSF. We also wish to express our deepest gratitude to the local organising team for their unstinting efforts. Guest Editors Claude Fabre and Jean-Paul Pocholle The abstracts for the poster papers appear in the PostScript and PDF files.
The three-dimensional harmonic oscillator plays a central role in nuclear physics. It provides the underlying structure of the independent-particle shell model and gives rise to the dynamical group structures on which models of nuclear collective motion are based. It is shown that the three-dimensional harmonic oscillator features a rich variety of coherent states, including vibrations of the monopole, dipole, and quadrupole types, and rotations of the rigid flow, vortex flow, and irrotational flow types. Nuclear collective states exhibit all of these flows. It is also shown that the coherent state representations, which have their origins in applications to the dynamical groups of the simple harmonic oscillator, can be extended to vector coherent state representations with a much wider range of applicability. As a result, coherent state theory and vector coherent state theory become powerful tools in the application of algebraic methods in physics.
We are glad to welcome you at the 21st Central European Workshop on Quantum Optics. Started in 1993 in Bratislava within a European project aimed at collaborating with Central-European countries, the Central European Workshops on Quantum Optics have evolved into a central annual gathering of European researchers working in this fast growing field as well as its applications to quantum information sciences and the foundations of quantum mechanics. For two decades, the workshops traveled all over the continent, reaching its geographical edges. This year, the 21st edition comes to the of Europe.We thank all the participants for the abstract submissions. The peer-review has shown a high level of contributions accepted for oral and poster presentations. As usual, we see a substantial participation of students and young postdocs from around the world and we are happy that our field attracts new generations of researchers. CEWQO 2014 in Brussels would have been impossible without the steering of Prof. Antonino Messina and Prof. Margarita Man'ko,who kindly proposed to locate the 21st edition here and provided a priceless help at all stages of its preparation. We would like to acknowledge also the previous organizers of CEWQO workshops for sharing their experience, in particular Prof. Gunnar Bjork and Prof. Aurelian Isar. A valuable help in the selection of invited speakers and in reviewing the contributions was given by the members of the International Advisory Board.We have received financial support from the Brussels Capital Region via its agency VISITBRUSSELS, the two National Research Funds, F.R.S.-FNRS and FWO, the Interuniversity Attraction Poles program of the Belgian Science Policy Office (BELSPO) via project Photonics@be,and the European program CHIST-ERA via projects HIPERCOM and QSCALE.Among our sponsors are the European Physical Society (via the journal EuroPhysics Letters) which supported student grants, the American Institute of Publishing (via Physica Scripta) which offered the Best Poster Award for young scientists, and Springer Publishing (via The European Physical Journal) which contributed to the organization of a plenary session, along with the company IDQ.We would like to thank all members of the local organizing committee and our colleagues, who invested their time for making this conference happen.
The group‐theoretical structure of the harmonic oscillator appears in many guises. Originally developed by Marcos Moshinsky among several others for applications in nuclear physics, we point out here that the harmonic oscillator structure appears in aberrations of geometric optics, particularly in their classification by rank, symplectic spin and weight. And further, the finite harmonic oscillator appears again in the nonlinear transformations of finite Hamiltonian systems, when applied to the parallel processing of signals.
This volume encloses the Proceedings of the Eighth Summer School on Theoretical Physics under the banner title Symmetry and Structural Properties of Condensed Matter (SSPCM 2005). The School, organised by Rzeszow University of Technology, Poland, together with Laboratory of Physical Foundation of Information Processing, Poland (LFPPI), was held between 31 August and 7 September 2005 in Myczkowce. The main goal of the whole series of biannual SSPCM schools (since 1990) is promotion of advanced mathematical methods within condensed matter physics, directed towards its symmetry and structural properties. This SSPCM 05 School focused on the following three main subjects: decoherence and quantum computers; the role of combinatorics in classification of solutions for exactly solvable models; geometric aspects in nanophysics. The Proceedings are divided into three parts accordingly, but particular topics can overlap between main subjects, and be related to problems pursued in previous SSPCM schools. In this way, the present school is concentrated on various aspects of theory and technology of quantum informatics, with the inclusion of exactly solvable models of statistical physics of condensed matter in low dimensions, as some natural theoretical prototypes of a quantum computer. The last SSPCM 05 was devoted to the memory of Professor Brian G Wybourne, a great Inspirer, inestimable Patron and Lecturer of the whole series of these schools. The School gathered together more than 50 participants, both advanced researchers in physics and mathematics, as well as their young collaborators and students, representing altogether 10 countries from all over the world. The Organising Committee would like to express their gratitude to all members of the International Advisory Committee for their opinions and support and to all invited lecturers and contributors for their talks and preparation of their manuscripts. Special thanks are addressed to all participants and everyone who attended for creating such a stimulating and friendly atmosphere during our meeting, and for several valuable discussions. We thank all chairmen for their polite but efficient leading of sessions. Many thanks are due to the referees who improved significantly the quality of papers presented in this volume. The organisers address special thanks to The Nicholas C. Metropolis Mathematics Foundation (USA) for a substantial initiating support, and to the Polish State Committee for Scientific Research. The hospitality of the whole team of the hotel 'Energetyk' Myczkowce is also appreciated.