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José Enrique Moyal
José Enrique Moyal ( he, יוסף הנרי מויאל; 1 October 1910 – 22 May 1998) was an Australian mathematician and mathematical physicist who contributed to aeronautical engineering, electrical engineering and statistics, among other fields.Ann Moyal, ''Maverick Mathematician: The Life and Science of J.E. Moyal'', ANU E-press, 2006; , accessible online/ref> Career Moyal helped establish the phase space formulation of quantum mechanics in 1949 by bringing together the ideas of Hermann Weyl, John von Neumann, Eugene Wigner, and Hip Groenewold. This formulation is statistical in nature and makes logical connections between quantum mechanics and classical statistical mechanics, enabling a natural comparison between the two formulations. Phase space quantization, also known as ''Moyal quantization'', largely avoids the use of operators for quantum mechanical observables prevalent in the canonical formulation. Quantum-mechanical evolution in phase space is specifie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jerusalem
Jerusalem (; he, יְרוּשָׁלַיִם ; ar, القُدس ) (combining the Biblical and common usage Arabic names); grc, Ἱερουσαλήμ/Ἰεροσόλυμα, Hierousalḗm/Hierosóluma; hy, Երուսաղեմ, Erusałēm. is a city in Western Asia. Situated on a plateau in the Judaean Mountains between the Mediterranean Sea, Mediterranean and the Dead Sea, it is one of the List of oldest continuously inhabited cities, oldest cities in the world and is considered to be a holy city for the three major Abrahamic religions: Judaism, Christianity, and Islam. Both Israelis and Palestinians claim Jerusalem as their Capital city, capital, as Israel maintains its primary governmental institutions there and the State of Palestine ultimately foresees it as its seat of power. Because of this dispute, Status of Jerusalem, neither claim is widely recognized internationally. Throughout History of Jerusalem, its long history, Jerusalem has been destroyed at least twice, Sie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Electrical Engineering
Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems which use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the latter half of the 19th century after commercialization of the electric telegraph, the telephone, and electrical power generation, distribution, and use. Electrical engineering is now divided into a wide range of different fields, including computer engineering, systems engineering, power engineering, telecommunications, radio-frequency engineering, signal processing, instrumentation, photovoltaic cells, electronics, and optics and photonics. Many of these disciplines overlap with other engineering branches, spanning a huge number of specializations including hardware engineering, power electronics, electromagnetics and waves, microwave engineering, nanotechnology, electrochemistry, renewable energies, mechatronics/control, and electrical m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Herzliya Hebrew Gymnasium
The Herzliya Hebrew Gymnasium ( he, הַגִּימְנַסְיָה הָעִבְרִית הֶרְצְלִיָּה, ''HaGymnasia HaIvrit Herzliya'', Also known as ''Gymnasia Herzliya''), originally known as HaGymnasia HaIvrit (lit. Hebrew High School) is a historic high school in Tel Aviv, Israel. History The original building Gymnasia Herzliya was the country's first Hebrew high school. Founded in 1905 in Jaffa, considered part of the Ottoman Empire in those days, the cornerstone-laying for the school's new building on Herzl Street in the Ahuzat Bayit neighborhood (the nucleus of future Tel Aviv) took place on July 28, 1909. The building was designed by Joseph Barsky, inspired by descriptions of Solomon's Temple.Sergey R. Kravtsov, "Reconstruction of the Temple by Charles Chipiez and Its Application in Architecture," ''Ars Judaica'', Vol. 4, 2008 The building on Herzl Street was a major Tel Aviv landmark until 1962, when the site was razed for the construction of Shalom Meir Tow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tel Aviv
Tel Aviv-Yafo ( he, תֵּל־אָבִיב-יָפוֹ, translit=Tēl-ʾĀvīv-Yāfō ; ar, تَلّ أَبِيب – يَافَا, translit=Tall ʾAbīb-Yāfā, links=no), often referred to as just Tel Aviv, is the most populous city in the Gush Dan metropolitan area of Israel. Located on the Israeli coastal plain, Israeli Mediterranean coastline and with a population of , it is the Economy of Israel, economic and Technology of Israel, technological center of the country. If East Jerusalem is considered part of Israel, Tel Aviv is the country's second most populous city after Jerusalem; if not, Tel Aviv is the most populous city ahead of West Jerusalem. Tel Aviv is governed by the Tel Aviv-Yafo Municipality, headed by Mayor Ron Huldai, and is home to many List of diplomatic missions in Israel, foreign embassies. It is a Global city, beta+ world city and is ranked 57th in the 2022 Global Financial Centres Index. Tel Aviv has the List of cities by GDP, third- or fourth-largest e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas Curtright
Thomas L. Curtright (born 1948) is a theoretical physicist at the University of Miami. He did undergraduate work in physics at the University of Missouri (B.S., M.S., 1970), and graduate work at Caltech (Ph.D., 1977) under the supervision of Richard Feynman. He has made numerous influential contributions in particle and mathematical physics, notably in supercurrent anomalies, higher-spin fields (Curtright field), quantum Liouville theory, geometrostatic sigma models, quantum algebras, and deformation quantization. Curtright is a Fellow of the American Physical Society, a co-recipient (with Charles Thorn) of the SESAPS Jesse Beams Award, a University of Miami Cooper Fellow, and a recipient of the Distinguished Faculty Scholar Award from the University's Senate. He is also the recipient of Distinguished Alumni Awards from the Department of Physics and Astronomy (2021) and from the College of Arts and Science (2022), University of Missouri at Columbia. He has co-edited ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cosmas Zachos
Cosmas K. Zachos ( el, Κοσμάς Ζάχος; born 1951) is a theoretical physicist. He was educated in physics (undergraduate A.B. 1974) at Princeton University, and did graduate work in theoretical physics at the California Institute of Technology (Ph.D. 1979 ) under the supervision of John Henry Schwarz. Zachos is an emeritus staff member in the theory group of the High Energy Physics Division of Argonne National Laboratory. He is considered an authority on the subject of phase-space quantization. His early research involved, jointly, the introduction of renormalization geometrostasis, and the so-called FFZ Lie algebra of noncommutative geometry. His thesis work revealed a balancing repulsive gravitational force present in extended supergravity. He is co-author of treatises on quantum mechanics in phase space, Thomas L. Curtright, David B. Fairlie, Cosmas K. Zachos, ''A Concise Treatise on Quantum Mechanics in Phase Space'', (World Scientific, Singapore, 2014) . a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phase Space Formulation
The phase-space formulation of quantum mechanics places the position ''and'' momentum variables on equal footing in phase space. In contrast, the Schrödinger picture uses the position ''or'' momentum representations (see also position and momentum space). The two key features of the phase-space formulation are that the quantum state is described by a quasiprobability distribution (instead of a wave function, state vector, or density matrix) and operator multiplication is replaced by a star product. The theory was fully developed by Hilbrand Groenewold in 1946 in his PhD thesis, and independently by Joe Moyal, each building on earlier ideas by Hermann Weyl and Eugene Wigner. The chief advantage of the phase-space formulation is that it makes quantum mechanics appear as similar to Hamiltonian mechanics as possible by avoiding the operator formalism, thereby "'freeing' the quantization of the 'burden' of the Hilbert space". This formulation is statistical in nature and offers l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Statistical Mechanics
In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. It does not assume or postulate any natural laws, but explains the macroscopic behavior of nature from the behavior of such ensembles. Statistical mechanics arose out of the development of classical thermodynamics, a field for which it was successful in explaining macroscopic physical properties—such as temperature, pressure, and heat capacity—in terms of microscopic parameters that fluctuate about average values and are characterized by probability distributions. This established the fields of statistical thermodynamics and statistical physics. The founding of the field of statistical mechanics is generally credited to three physicists: *Ludwig Boltzmann, who developed the fundamental interpretation of entropy in terms of a collection of microstates *James Clerk Maxwell, who developed models of probability distr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hilbrand J
{{given name, type=both ...
Hilbrand is both a given name and a surname. Notable people with the name include: *Hilbrand Boschma (1893–1976), Dutch zoologist and museum curator * Hilbrand J. Groenewold (1910–1996), Dutch theoretical physicist *Hilbrand Nawijn (born 1948), Dutch politician * Sophie Hilbrand (born 1975), Dutch actress, television host and radio host See also *Hillebrand Hillebrand is a surname, with variants such as Hillebrandt and Hillebrant: Hillebrand *Art Hillebrand ( 1878–1941), American football player * Candîce Hillebrand, South African-born singer-songwriter * Harold Newcomb Hillebrand, (1887–1953), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eugene Wigner
Eugene Paul "E. P." Wigner ( hu, Wigner Jenő Pál, ; November 17, 1902 – January 1, 1995) was a Hungarian-American theoretical physicist who also contributed to mathematical physics. He received the Nobel Prize in Physics in 1963 "for his contributions to the theory of the atomic nucleus and the elementary particles, particularly through the discovery and application of fundamental symmetry principles". A graduate of the Technical University of Berlin, Wigner worked as an assistant to Karl Weissenberg and Richard Becker at the Kaiser Wilhelm Institute in Berlin, and David Hilbert at the University of Göttingen. Wigner and Hermann Weyl were responsible for introducing group theory into physics, particularly the theory of symmetry in physics. Along the way he performed ground-breaking work in pure mathematics, in which he authored a number of mathematical theorems. In particular, Wigner's theorem is a cornerstone in the mathematical formulation of quantum mechanics. He is also ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Von Neumann
John von Neumann (; hu, Neumann János Lajos, ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest coverage of any mathematician of his time and was said to have been "the last representative of the great mathematicians who were equally at home in both pure and applied mathematics". He integrated pure and applied sciences. Von Neumann made major contributions to many fields, including mathematics (foundations of mathematics, measure theory, functional analysis, ergodic theory, group theory, lattice theory, representation theory, operator algebras, matrix theory, geometry, and numerical analysis), physics (quantum mechanics, hydrodynamics, ballistics, nuclear physics and quantum statistical mechanics), economics ( game theory and general equilibrium theory), computing ( Von Neumann architecture, linear programming, numerical meteo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hermann Weyl
Hermann Klaus Hugo Weyl, (; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, he is associated with the University of Göttingen tradition of mathematics, represented by Carl Friedrich Gauss, David Hilbert and Hermann Minkowski. His research has had major significance for theoretical physics as well as purely mathematical disciplines such as number theory. He was one of the most influential mathematicians of the twentieth century, and an important member of the Institute for Advanced Study during its early years. Weyl contributed to an exceptionally wide range of mathematical fields, including works on space, time, matter, philosophy, logic, symmetry and the history of mathematics. He was one of the first to conceive of combining general relativity with the laws of electromagnetism. Freeman Dyson wrote that Weyl alone bore ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
