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Quantum Time Crystals - DSpace@MIT
Quantum Time Crystals - DSpace@MIT

... path integral are iTime crystals. Let the iTime crystal have preferred period . When  is an integer multiple of  the crystal will fit without distortion, but otherwise it must be squeezed or stretched, or incorporate defects. Periodic behavior of thermodynamics quantities in 1=T, with period , a ...
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... reproduce the same set of quantal predictions. This conviction may be unduly pessimistic because there exist what appear to be physically meaningful questions, such as the time taken for systems to move across spatial domains, for which the standard quantum formalism and hence the interpretations wh ...
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Johns Hopkins University

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1987 onward

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Electron Configuration Worksheet #1

... The last electron was the ê electron placed in the second p orbital therefore that electron has a n = 2 since it is in the second shell, a ℓ = 1 since it is a p subshell (all s = 0, p = 1, d = 2 and f = 3), a mℓ = 0 since it is in the second orbital of the 2p subshell (the first box is –1, the seco ...
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Quantum Phenomena in Low-Dimensional Systems Michael R. Geller
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UNCERTAINTY PRINCIPLE AND QUANTUM FISHER INFORMATION

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Holonomic Quantum Computation with Josephson Networks

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Individual Particles, Properties and Quantum - Philsci

... properties are instantiated where) and of ‘phase space’ (i.e., the canonical description in terms of individuals with properties). However, only the latter is wedded to haecceitism. Since, in any event, we do not put into question the metaphysical status of classical particles as individuals, it fol ...
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Hund`s Rules, jj-coupling and the g^n Electron

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Zhang - Department of Computer Science and Engineering, CUHK

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A Topological Look at the Quantum Hall Effect
A Topological Look at the Quantum Hall Effect

... surfaces but also to the geometry of the eigenstates parameterized by F and q. It looks exactly like equation 3, except that K is now the adiabatic curvature of equation 1, and the surface S is a torus parameterized by the two fluxes F and q. The right-hand side of the Chern’s generalization of equa ...
einstein`s revolutionary light–quantum hypothesis
einstein`s revolutionary light–quantum hypothesis

... In addition to hearing such friendly criticism, Compton carried out gamma-ray scattering experiments at the Cavendish Laboratory that would contribute greatly to the further evolution of his thought. He found in his experiments, first, that the intensity of the scattered gamma rays was greater in th ...
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Introduction to quantum spin systems

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QM Consilience_3_

... These probabilities are also invariant because they are defined solely in terms of the constants α and β. These four probabilities are postulated by the model. They are theoretically entities. Their measurement, or estimation, is determined from the available data in the same way that any theoretica ...
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Max Born



Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s. Born won the 1954 Nobel Prize in Physics for his ""fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function"".Born was born in 1882 in Breslau, then in Germany, now in Poland and known as Wrocław. He entered the University of Göttingen in 1904, where he found the three renowned mathematicians, Felix Klein, David Hilbert and Hermann Minkowski. He wrote his Ph.D. thesis on the subject of ""Stability of Elastica in a Plane and Space"", winning the University's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.In the First World War after originally being placed as a radio operator, due to his specialist knowledge he was moved to research duties regarding sound ranging. In 1921, Born returned to Göttingen, arranging another chair for his long-time friend and colleague James Franck. Under Born, Göttingen became one of the world's foremost centres for physics. In 1925, Born and Werner Heisenberg formulated the matrix mechanics representation of quantum mechanics. The following year, he formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, for which he was awarded the Nobel Prize in 1954. His influence extended far beyond his own research. Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf all received their Ph.D. degrees under Born at Göttingen, and his assistants included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.In January 1933, the Nazi Party came to power in Germany, and Born, who was Jewish, was suspended. He emigrated to Britain, where he took a job at St John's College, Cambridge, and wrote a popular science book, The Restless Universe, as well as Atomic Physics, which soon became a standard text book. In October 1936, he became the Tait Professor of Natural Philosophy at the University of Edinburgh, where, working with German-born assistants E. Walter Kellermann and Klaus Fuchs, he continued his research into physics. Max Born became a naturalised British subject on 31 August 1939, one day before World War II broke out in Europe. He remained at Edinburgh until 1952. He retired to Bad Pyrmont, in West Germany. He died in hospital in Göttingen on 5 January 1970.
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