Ãœber Quantentheoretische Umdeutung Kinematischer Und Mechanischer Beziehungen
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Ãœber Quantentheoretische Umdeutung Kinematischer Und Mechanischer Beziehungen
("Quantum theoretical re-interpretation of kinematic and mechanical relations") was a breakthrough article in quantum mechanics written by Werner Heisenberg, which appeared in ''Zeitschrift für Physik'' in September 1925. Heisenberg worked on the article while recovering from hay fever on the island of Heligoland, corresponding with Wolfgang Pauli on the subject. When asked for his opinion of the manuscript, Pauli responded favorably, but Heisenberg said that he was still "very uncertain about it". In July 1925, he sent the manuscript to Max Born to review and decide whether to submit it for publication. In the article, Heisenberg tried to explain the energy levels of a one-dimensional anharmonic oscillator, avoiding the concrete but unobservable representations of electron orbits by using observable parameters such as transition probabilities for quantum jumps, which necessitated using two indexes corresponding to the initial and final states. Also included was the ''Heisenb ...
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Quantum Mechanics
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science. Classical physics, the collection of theories that existed before the advent of quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, but is not sufficient for describing them at small (atomic and subatomic) scales. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic) scale. Quantum mechanics differs from classical physics in that energy, momentum, angular momentum, and other quantities of a bound system are restricted to discrete values ( quantization); objects have characteristics of both particles and waves (wave–particle duality); and there are limits to ...
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Pascual Jordan
Ernst Pascual Jordan (; 18 October 1902 – 31 July 1980) was a German theoretical and mathematical physicist who made significant contributions to quantum mechanics and quantum field theory. He contributed much to the mathematical form of matrix mechanics, and developed canonical anticommutation relations for fermions. Jordan algebra is employed for and is still used in studying the mathematical and conceptual foundations of quantum theory, and has found other mathematical applications. Jordan joined the Nazi Party in 1933, but did not follow the Deutsche Physik movement, which at the time rejected quantum physics developed by Albert Einstein and other Jewish physicists. After the Second World War, he entered politics for the conservative party CDU and served as a member of parliament from 1957 to 1961. Family history Pascual Jordan's parents were Ernst Pasqual Jordan (1858-1924) and Eva Fischer. Ernst Jordan was a painter renowned for his portraits and landscapes. He was an ...
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Works Originally Published In German Magazines
Works may refer to: People * Caddy Works (1896–1982), American college sports coach * Samuel Works (c. 1781–1868), New York politician Albums * '' ''Works'' (Pink Floyd album)'', a Pink Floyd album from 1983 * ''Works'', a Gary Burton album from 1972 * ''Works'', a Status Quo album from 1983 * ''Works'', a John Abercrombie album from 1991 * ''Works'', a Pat Metheny album from 1994 * ''Works'', an Alan Parson Project album from 2002 * ''Works Volume 1'', a 1977 Emerson, Lake & Palmer album * ''Works Volume 2'', a 1977 Emerson, Lake & Palmer album * '' The Works'', a 1984 Queen album Other uses * Microsoft Works, a collection of office productivity programs created by Microsoft * IBM Works, an office suite for the IBM OS/2 operating system * Mount Works, Victoria Land, Antarctica See also * The Works (other) * Work (other) Work may refer to: * Work (human activity), intentional activity people perform to support themselves, others, or the community ** ...
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Physics Papers
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, with its main goal being to understand how the universe behaves. "Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. ...
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1925 In Germany
Events in the year 1925 in Germany. Incumbents National level President of Germany *Friedrich Ebert (Social Democrats) to 28 February, then from 12 May Paul von Hindenburg Chancellor *Wilhelm Marx ''(1st term)'' (Centre) to 15 January, then Hans Luther (German People's Party) Events * 15 January – Centre Party member Hans Luther becomes Chancellor of Germany after the resignation of Wilhelm Marx. * 25 February – Adolf Hitler makes his first public appearance since being released from prison * 25 April – Paul von Hindenburg, winning 48.5% of the popular vote against the Centre Party's Wilhelm Marx with 45.2%, is elected President of Germany. * 13 July – France begins to withdraw from the Rhineland. * 18 July – Publication of Mein Kampf * 29 August – Walther von Lüttwitz and members involved in the attempted "Kapp Putsch" coup of March 1920 are granted amnesty by the German government. * 5– 16 October – The United Kingdom, France, Italy, Belgium, and Germa ...
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1925 Documents
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album ''Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipknot. ...
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1925 In Science
The year 1925 in science and technology involved some significant events, listed below. Astronomy and space science * January 1 – Cecilia Payne completes her PhD thesis ''Stellar Atmospheres: a Contribution to the Observational Study of High Temperature in the Reversing Layers of Stars'' at Radcliffe College of Harvard University, providing spectral evidence that stars are composed almost entirely of hydrogen with helium, contrary to scientific consensus at the time; however, her findings will be vindicated by 1929 and astronomer Otto Struve will describe her work as "the most brilliant PhD thesis ever written in astronomy". Biology * July 21 – Scopes Trial: In Dayton, Tennessee, high school biology teacher John T. Scopes is found guilty of teaching evolution in class and fined $100. * September – Official opening of Thijsse's Hof (Garden of Thijsse), the first wildlife garden in the Netherlands, in Bloemendaal near Haarlem. * Approximate date – Extinction of the Bubal ...
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Historical Physics Publications
History (derived ) is the systematic study and the documentation of the human activity. The time period of event before the invention of writing systems is considered prehistory. "History" is an umbrella term comprising past events as well as the memory, discovery, collection, organization, presentation, and interpretation of these events. Historians seek knowledge of the past using historical sources such as written documents, oral accounts, art and material artifacts, and ecological markers. History is not complete and still has debatable mysteries. History is also an academic discipline which uses narrative to describe, examine, question, and analyze past events, and investigate their patterns of cause and effect. Historians often debate which narrative best explains an event, as well as the significance of different causes and effects. Historians also debate the nature of history as an end in itself, as well as its usefulness to give perspective on the problems of the p ...
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Matrix Mechanics
Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925. It was the first conceptually autonomous and logically consistent formulation of quantum mechanics. Its account of quantum jumps supplanted the Bohr model's electron orbits. It did so by interpreting the physical properties of particles as matrices that evolve in time. It is equivalent to the Schrödinger wave formulation of quantum mechanics, as manifest in Dirac's bra–ket notation. In some contrast to the wave formulation, it produces spectra of (mostly energy) operators by purely algebraic, ladder operator methods. Relying on these methods, Wolfgang Pauli derived the hydrogen atom spectrum in 1926, before the development of wave mechanics. Development of matrix mechanics In 1925, Werner Heisenberg, Max Born, and Pascual Jordan formulated the matrix mechanics representation of quantum mechanics. Epiphany at Helgoland In 1925 Werner Heisenberg was w ...
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Mathematical Formulation Of Quantum Mechanics
The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which are a kind of linear space. Such are distinguished from mathematical formalisms for physics theories developed prior to the early 1900s by the use of abstract mathematical structures, such as infinite-dimensional Hilbert spaces ( ''L''2 space mainly), and operators on these spaces. In brief, values of physical observables such as energy and momentum were no longer considered as values of functions on phase space, but as eigenvalues; more precisely as spectral values of linear operators in Hilbert space. These formulations of quantum mechanics continue to be used today. At the heart of the description are ideas of ''quantum state'' and ''quantum observables'', which are radically different from those used in previous models of physical r ...
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History Of Quantum Mechanics
The history of quantum mechanics is a fundamental part of the history of modern physics. Quantum mechanics' history, as it interlaces with the history of quantum chemistry, began essentially with a number of different scientific discoveries: the 1838 discovery of cathode rays by Michael Faraday; the 1859–60 winter statement of the black-body radiation problem by Gustav Kirchhoff; the 1877 suggestion by Ludwig Boltzmann that the energy states of a physical system could be ''discrete''; the discovery of the photoelectric effect by Heinrich Hertz in 1887; and the 1900 quantum hypothesis by Max Planck that any energy-radiating atomic system can theoretically be divided into a number of discrete "energy elements" ''ε'' (Greek letter epsilon) such that each of these energy elements is proportional to the frequency ''ν'' with which each of them individually radiate energy, as defined by the following formula: : \varepsilon = h \nu, where ''h'' is a numerical value called Planck's ...
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Heisenberg's Entryway To Matrix Mechanics
Werner Heisenberg contributed to science at a point when the old quantum physics was discovering a field littered with more and more stumbling blocks. He decided that quantum physics had to be re-thought from the ground up. In doing so he excised several items that were grounded in classical physics and its modeling of the macro world. Heisenberg determined to base his quantum mechanics "exclusively upon relationships between quantities that in principle are observable." By so doing he constructed an entryway to matrix mechanics. He observed that one could not then use any statements about such things as "the position and period of revolution of the electron." Rather, to make true progress in understanding the radiation of the simplest case, the radiation of excited hydrogen atoms, one had measurements only of the frequencies and the intensities of the hydrogen bright-line spectrum to work with. In classical physics, the intensity of each frequency of light produced in a radiati ...
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