|
Jan Philip Solovej
Jan Philip Solovej (born 14 June 1961) is a Danish mathematician and mathematical physicist working on the mathematical theory of quantum mechanics. He is a professor at University of Copenhagen. Biography Solovej obtained his Ph.D. in 1989 from Princeton University with the thesis on "Universality in the Thomas-Fermi-von Weizsäcker Model of Atoms and Molecules" supervised by Elliott H. Lieb. As a post-doctoral researcher, he went to the University of Michigan in 1989/90 and to the University of Toronto in 1990. In 1991 (and 2003/04) he was a member at the Institute for Advanced Study. From 1991 to 1995, he was Assistant Professor in the Department of Mathematics at Princeton University. From 1995 to 1997, he was a research professor at the University of Aarhus. Since 1997, he has been a professor in the Department of Mathematics at the University of Copenhagen. Since 2016, he has been the Centre leader of VILLUM Centre of Excellence for the Mathematics of Quantum Theory ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Copenhagen
Copenhagen ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan area has 2,057,142 people. Copenhagen is on the islands of Zealand and Amager, separated from Malmö, Sweden, by the Øresund strait. The Øresund Bridge connects the two cities by rail and road. Originally a Viking fishing village established in the 10th century in the vicinity of what is now Gammel Strand, Copenhagen became the capital of Denmark in the early 15th century. Beginning in the 17th century, it consolidated its position as a regional centre of power with its institutions, defences, and armed forces. During the Renaissance the city served as the de facto capital of the Kalmar Union, being the seat of monarchy, governing the majority of the present day Nordic region in a personal union with Sweden and Norway ruled by the Danis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
European Congress Of Mathematics
The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely between the ICM. The ECM is held under the auspices of the European Mathematical Society (EMS), and was one of its earliest initiatives. It was founded by Max Karoubi and the first edition took place in Paris in 1992. Its objectives are "to present various new aspects of pure and applied mathematics to a wide audience, to be a forum for discussion of the relationship between mathematics and society in Europe, and to enhance cooperation among mathematicians from all European countries." Activities The Congresses generally last a week and consist of plenary lectures, parallel (invited) lectures and several mini-symposia devoted to a particular subject, where participants can contribute with posters and short talks. Many editions featured also s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jakob Yngvason
Jakob Yngvason (born 23 November 1945) is an Icelandic/Austrian physicist and emeritus professor of mathematical physics at the University of Vienna. He has made important contributions to local quantum field theory, thermodynamics, and the quantum theory of many-body systems, in particular cold atomic gases and Bose–Einstein condensation. He is co-author, together with Elliott H. Lieb, Jan Philip Solovej and Robert Seiringer, of a monograph on Bose gases. Career After graduating from high school in 1964 in Reykjavík, Yngvason studied physics at Göttingen University, obtaining his Diploma in physics in 1969, and a doctorate (''dr.rer.nat'') in 1973. His thesis advisor was Hans-Jürgen Borchers. Yngvason was assistant professor at the University of Göttingen, 1973–1978, 1978–1985 research scientist at the Science Institute of the University of Iceland, and during 1985–1996 professor of theoretical physics at the University of Iceland. In 1996, he became professor of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Seiringer
Robert Seiringer (1 September 1976, Vöcklabruck) is an Austrian mathematical physicist. Life and work Seiringer studied physics at the University of Vienna, where in 1999 he acquired his diploma and in 2000 with Jakob Yngvason as thesis advisor attained a doctorate. In 2005 he attained his habilitation qualification at the University of Vienna. With a Schrödinger scholarship, he went in 2001 to Princeton University. There he became in 2003 assistant professor. Starting from 2010 he is an associate professor at McGill University. In addition he is extraordinarius professor at the University of Vienna. Seiringer made substantial progress in the mathematical theory of quantum gases and particularly Bose–Einstein condensate (BEC). He partly proved the existence of BEC for interacting boson gases in the Gross–Pitaevskii limit in collaboration with Elliott Lieb. They proved also superfluidity in this limit and derived the Gross–Pitaevskii equation in the special case of BEC ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Heisenberg Model
The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically. It is related to the prototypical Ising model, where at each site of a lattice, a spin \sigma_i \in \ represents a microscopic magnetic dipole to which the magnetic moment is either up or down. Except the coupling between magnetic dipole moments, there is also a multipolar version of Heisenberg model called the multipolar exchange interaction. Overview For quantum mechanical reasons (see exchange interaction or ), the dominant coupling between two dipoles may cause nearest-neighbors to have lowest energy when they are ''aligned''. Under this assumption (so that magnetic interactions only occur between adjacent dipoles) and on a 1-dimensional periodic lattice, the Hamiltonian can be written in the form :\hat H = -J \sum_^ \sigma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Dot
Quantum dots (QDs) are semiconductor particles a few nanometres in size, having light, optical and electronics, electronic properties that differ from those of larger particles as a result of quantum mechanics. They are a central topic in nanotechnology. When the quantum dots are illuminated by UV light, an electron in the quantum dot can be excited to a state of higher energy. In the case of a semiconductor, semiconducting quantum dot, this process corresponds to the transition of an electron from the valence band to the conductance band. The excited electron can drop back into the valence band releasing its energy as light. This light emission (photoluminescence) is illustrated in the figure on the right. The color of that light depends on the energy difference between the conductance band and the valence band, or the transition between discrete energy states when band structure is no longer a good definition in QDs. In the language of materials science, nanoscale semiconductor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bogoliubov Transformation
In theoretical physics, the Bogoliubov transformation, also known as the Bogoliubov–Valatin transformation, was independently developed in 1958 by Nikolay Bogolyubov and John George Valatin for finding solutions of BCS theory in a homogeneous system. The Bogoliubov transformation is an isomorphism of either the canonical commutation relation algebra or canonical anticommutation relation algebra. This induces an autoequivalence on the respective representations. The Bogoliubov transformation is often used to diagonalize Hamiltonians, which yields the stationary solutions of the corresponding Schrödinger equation. The Bogoliubov transformation is also important for understanding the Unruh effect, Hawking radiation, pairing effects in nuclear physics, and many other topics. The Bogoliubov transformation is often used to diagonalize Hamiltonians, ''with'' a corresponding transformation of the state function. Operator eigenvalues calculated with the diagonalized Hamiltonian on the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
