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Stanley Mandelstam
Stanley Mandelstam (; 12 December 1928 – 23 June 2016) was a South African theoretical physicist. He introduced the relativistically invariant Mandelstam variables into particle physics in 1958 as a convenient coordinate system for formulating his double dispersion relations. The double dispersion relations were a central tool in the bootstrap program which sought to formulate a consistent theory of infinitely many particle types of increasing spin. Early life Mandelstam was born in Johannesburg, South Africa to a Jewish family. William D. Rubinstein, Michael Jolles, Hilary L. Rubinstein, ''The Palgrave Dictionary of Anglo-Jewish History'', Palgrave Macmillan (2011), p. 110 Work Mandelstam, along with Tullio Regge, did the initial development of the Regge theory of strong interaction phenomenology. He reinterpreted the analytic growth rate of the scattering amplitude as a function of the cosine of the scattering angle as the power law for the falloff of scattering amplit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johannesburg
Johannesburg ( , , ; Zulu language, Zulu and Xhosa language, Xhosa: eGoli ) (colloquially known as Jozi, Joburg, Jo'burg or "The City of Gold") is the most populous city in South Africa. With 5,538,596 people in the City of Johannesburg alone and over 14.8 million in the urban agglomeration, it is classified as a Megacity#List of megacities, megacity and List of urban areas by population, one of the 100 largest urban areas in the world. Johannesburg is the provinces of South Africa, provincial capital of Gauteng, the wealthiest province in South Africa, and seat of the country's highest court, the Constitutional Court of South Africa, Constitutional Court. The city is located within the mineral-rich Witwatersrand hills, the epicentre of the international mineral and gold trade. The richest city in Africa by GDP and private wealth, Johannesburg functions as the economic capital of South Africa and is home to the continent's largest stock exchange, the Johannesburg Stock Exchang ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dannie Heineman Prize For Mathematical Physics
Dannie Heineman Prize for Mathematical Physics is an award given each year since 1959 jointly by the American Physical Society and American Institute of Physics. It is established by the Heineman Foundation in honour of Dannie Heineman. As of 2010, the prize consists of US$10,000 and a certificate citing the contributions made by the recipient plus travel expenses to attend the meeting at which the prize is bestowed. Past Recipients Source: American Physical Society *2025 Samson Shatashvili *2024 David C. Brydges *2023 Nikita Nekrasov *2022 Antti Kupiainen and Krzysztof Gawędzki *2021 Joel Lebowitz *2020 Svetlana Jitomirskaya *2019 T. Bill Sutherland, Francesco Calogero and Michel Gaudin *2018 Barry Simon *2017 Carl M. Bender *2016 Andrew Strominger and Cumrun Vafa *2015 Pierre Ramond *2014 Gregory W. Moore *2013 Michio Jimbo and Tetsuji Miwa *2012 Giovanni Jona-Lasinio *2011 Herbert Spohn *2010 Michael Aizenman *2009 Carlo Becchi, Alain Rouet, Raymond Sto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Neveu–Schwarz Sector
In mathematical physics, a super Virasoro algebra is an extension of the Virasoro algebra (named after Miguel Ángel Virasoro) to a Lie superalgebra. There are two extensions with particular importance in superstring theory: the Ramond algebra (named after Pierre Ramond) and the Neveu–Schwarz algebra (named after André Neveu and John Henry Schwarz). Both algebras have ''N'' = 1 supersymmetry and an even part given by the Virasoro algebra. They describe the symmetries of a superstring in two different sectors, called the Ramond sector and the Neveu–Schwarz sector. The ''N'' = 1 super Virasoro algebras There are two minimal extensions of the Virasoro algebra with ''N'' = 1 supersymmetry: the Ramond algebra and the Neveu–Schwarz algebra. They are both Lie superalgebras whose even part is the Virasoro algebra: this Lie algebra has a basis consisting of a central element ''C'' and generators ''L''''m'' (for integer ''m'') satisfying L_m , L_n = ( m - n ) L_ + \frac m ( m^ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre Ramond
Pierre Ramond (; born 31 January 1943) is distinguished professor of physics at University of Florida in Gainesville, Florida. He initiated the development of superstring theory. Academic career Ramond completed his BSEE from Newark College of Engineering (now New Jersey Institute of Technology) in 1965 and completed his Ph.D. in physics from Syracuse University in 1969. He was a postdoctoral fellow at NAL (FermiLab) from 1969 to 1971. He became instructor at Yale University from 1971 to 1973 and assistant professor at Yale University from 1973 to 1976. He moved to Caltech as an R. A. Millikan Senior Fellow in 1976. He became a professor of physics at University of Florida in 1980, and promoted to his present title of "distinguished professor" in 1999. Superstring theory Ramond initiated the development of superstring theory. In 1970, Ramond generalized Dirac's work for point-like particles to stringlike ones. In this process he discovered two-dimensional supersymmetry and l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Virasoro Algebra
In mathematics, the Virasoro algebra is a complex Lie algebra and the unique nontrivial central extension of the Witt algebra. It is widely used in two-dimensional conformal field theory and in string theory. It is named after Miguel Ángel Virasoro. Structure The Virasoro algebra is spanned by generators for and the central charge . These generators satisfy ,L_n0 and The factor of \frac is merely a matter of convention. For a derivation of the algebra as the unique central extension of the Witt algebra, see derivation of the Virasoro algebra or Schottenloher, Thm. 5.1, pp. 79. The Virasoro algebra has a presentation in terms of two generators (e.g. 3 and −2) and six relations. The generators L_ are called annihilation modes, while L_ are creation modes. A basis of creation generators of the Virasoro algebra's universal enveloping algebra is the set : \mathcal = \Big\_ For L\in \mathcal, let , L, = \sum_^k n_i, then _0,L= , L, L. Representation theory In ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Veneziano Amplitude
In theoretical physics, the Veneziano amplitude refers to the discovery made in 1968 by Italian theoretical physicist Gabriele Veneziano that the Euler beta function, when interpreted as a scattering amplitude, has many of the features needed to explain the physical properties of strongly interacting mesons, such as symmetry and duality. Conformal symmetry was soon discovered. This discovery can be considered the birth of string theory, as the invention of string theory came about as a search for a physical model which would give rise to such a scattering amplitude. In particular, the amplitude appears as the four tachyon scattering amplitude in oriented open bosonic string theory. Using Mandelstam variables and the beta function B(x,y), the amplitude is given by : S(k_1,k_2,k_3,k_4) = \frac(2\pi)^\delta^(\Sigma_i k_i)\big (\alpha(s),\alpha(t))+B(\alpha(s),\alpha(u))+B(\alpha(t),\alpha(u))\big where \alpha' is the string constant, k_i are the tachyon four-vectors, g_o is the open ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gabriele Veneziano
Gabriele Veneziano ( ; ; born 7 September 1942) is an Italian theoretical physicist widely considered the father of string theory. He has conducted most of his scientific activities at CERN in Geneva, Switzerland, and held the Chair of Elementary Particles, Gravitation and Cosmology at the Collège de France in Paris from 2004 to 2013, until the age of retirement there. Life Gabriele Veneziano was born in Florence. In 1965, he earned his Laurea in Theoretical Physics from the University of Florence under the direction of . He pursued his doctoral studies at the Weizmann Institute of Science in Rehovot, Israel and obtained his PhD in 1967 under the supervision of Hector Rubinstein. During his stay in Israel, he collaborated, among others, with Marco Ademollo (a professor in Florence) and Miguel Virasoro (an Argentinian physicist who later became a professor in Italy). During his years at MIT, he collaborated with many colleagues, primarily with Sergio Fubini (an MIT professor, la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Regge Theory
In quantum physics, Regge theory ( , ) is the study of the analytic properties of scattering as a function of angular momentum, where the angular momentum is not restricted to be an integer multiple of '' ħ'' but is allowed to take any complex value. The nonrelativistic theory was developed by Tullio Regge in 1959. Details The simplest example of Regge poles is provided by the quantum mechanical treatment of the Coulomb potential V(r) = -e^2/(4\pi\epsilon_0r) or, phrased differently, by the quantum mechanical treatment of the binding or scattering of an electron of mass m and electric charge -e off a proton of mass M and charge +e. The energy E of the binding of the electron to the proton is negative whereas for scattering the energy is positive. The formula for the binding energy is the expression :E\rightarrow E_N = - \frac = - \frac, \;\;\; m^' = \frac, where N = 1,2,3,..., h is the Planck constant, and \epsilon_0 is the permittivity of the vacuum. The principal quantum numb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tullio Regge
Tullio Eugenio Regge (; 11 July 1931 – 23 October 2014) was an Italian theoretical physicist. Biography Regge obtained the ''laurea'' in physics from the University of Turin in 1952 under the direction of Mario Verde and Gleb Wataghin, and a PhD in physics from the University of Rochester in 1957 under the direction of Robert Marshak. From 1958 to 1959 Regge held a post at the Max Planck Institute for Physics where he worked with Werner Heisenberg. In 1961 he was appointed to the chair of Relativity at the University of Turin. He also held an appointment at the Institute for Advanced Study from 1965 to 1979. He was an emeritus professor at the Polytechnic University of Turin while contributing work at CERN as a visiting scientist. Regge died on 23 October 2014. He was married to Rosanna Cester, physicist, by whom he had three children: Daniele, Marta and Anna. In 1959, Regge discovered a mathematical property of potential scattering in the Schrödinger equation—that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hilary L
Hilary or Hillary may refer to: * Hilary (name), or Hilarie or Hillary, a given name and surname ** Hillary Clinton, American politician ** Edmund Hillary, one of the first to summit Mount Everest * Hillary Coast, Antarctica * Hilary term, the spring term at the Universities of Oxford and Dublin * ''Hikari no Densetsu'', a 1985 manga series, known in Italian as ''Hilary'' * ''Hillary'' (film), a 2020 American documentary film about Hillary Clinton * HMS ''Hilary'' *'' Hilary: the brave world of Hilary Pole'', 1972 book by Dorothy Clarke Wilson * List of storms named Hilary, the name of several storms * Hillary Montes, a mountain range on Pluto See also * Hillery (other) * Saint Hilary (other) * Saint-Hilaire (other) * Ilar (other), Welsh form of the name Hilary * Eleri (other), Welsh form of the name Hilarus * Hillarys, Western Australia Hillarys is a northern coastal suburb of Perth, the capital city of Western Australia, in th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William D
William is a masculine given name of Germanic origin. It became popular in England after the Norman conquest in 1066,All Things William"Meaning & Origin of the Name"/ref> and remained so throughout the Middle Ages and into the modern era. It is sometimes abbreviated "Wm." Shortened familiar versions in English include Will or Wil, Wills, Willy, Willie, Bill, Billie, and Billy. A common Irish form is Liam. Scottish diminutives include Wull, Willie or Wullie (as in Oor Wullie). Female forms include Willa, Willemina, Wilma and Wilhelmina. Etymology William is related to the German given name ''Wilhelm''. Both ultimately descend from Proto-Germanic ''*Wiljahelmaz'', with a direct cognate also in the Old Norse name ''Vilhjalmr'' and a West Germanic borrowing into Medieval Latin ''Willelmus''. The Proto-Germanic name is a compound of *''wiljô'' "will, wish, desire" and *''helmaz'' "helm, helmet".Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxfor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jewish
Jews (, , ), or the Jewish people, are an ethnoreligious group and nation, originating from the Israelites of History of ancient Israel and Judah, ancient Israel and Judah. They also traditionally adhere to Judaism. Jewish ethnicity, religion, and community are highly interrelated, as Judaism is their ethnic religion, though it is not practiced by all ethnic Jews. Despite this, religious Jews regard Gerim, converts to Judaism as members of the Jewish nation, pursuant to the Conversion to Judaism, long-standing conversion process. The Israelites emerged from the pre-existing Canaanite peoples to establish Kingdom of Israel (Samaria), Israel and Kingdom of Judah, Judah in the Southern Levant during the Iron Age.John Day (Old Testament scholar), John Day (2005), ''In Search of Pre-Exilic Israel'', Bloomsbury Publishing, pp. 47.5 [48] 'In this sense, the emergence of ancient Israel is viewed not as the cause of the demise of Canaanite culture but as its upshot'. Originally, J ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
