Quantum Heisenberg models and their probabilistic representations
... weight of the form ϑ#cycles or ϑ#loops with parameter ϑ = 2. Recently, Schramm studied the cycle model on the complete graph and with ϑ = 1 (that is, without this factor) [41]. He showed in particular that cycle lengths are generated by a split-merge process (or “coagulation-fragmentation”), and tha ...
... weight of the form ϑ#cycles or ϑ#loops with parameter ϑ = 2. Recently, Schramm studied the cycle model on the complete graph and with ϑ = 1 (that is, without this factor) [41]. He showed in particular that cycle lengths are generated by a split-merge process (or “coagulation-fragmentation”), and tha ...
Quantum networking with single ions J¨ urgen Eschner
... extremely high sensitivity, it provides little information about the precise instant of the absorption, or about the resulting atomic state. This method could nevertheless be com- ...
... extremely high sensitivity, it provides little information about the precise instant of the absorption, or about the resulting atomic state. This method could nevertheless be com- ...
On issue Is Faster-Than-Light Travel or Communication Possible?
... It was known that rifle bullets go faster than sound long before an aircraft did. The truth is that some engineers once said that controlled flight faster than sound might be impossible, and they were wrong about that. me: Some Engineers “might” have thought that, after all there were technical prob ...
... It was known that rifle bullets go faster than sound long before an aircraft did. The truth is that some engineers once said that controlled flight faster than sound might be impossible, and they were wrong about that. me: Some Engineers “might” have thought that, after all there were technical prob ...
Cooling and Trapping Neutral Atoms—W. Ketterle, D.E. Pritchard
... the interaction potential of two 6Li atoms. Three new resonances in the |1> and |1> states which are pwave resonances were observed [7]. The positions of these Feshbach resonances together with the location of a narrow s-wave resonance in the |1> + |2> mixture near 543 G were used for a precise dete ...
... the interaction potential of two 6Li atoms. Three new resonances in the |1> and |1> states which are pwave resonances were observed [7]. The positions of these Feshbach resonances together with the location of a narrow s-wave resonance in the |1> + |2> mixture near 543 G were used for a precise dete ...
Quantum Computing
... He also pioneered the use of operator theory, including the influential bra-ket notation. John von Neumann formulated the mathematical basis for quantum mechanics as the theory of linear operators on Hilbert spaces John von Neumann ...
... He also pioneered the use of operator theory, including the influential bra-ket notation. John von Neumann formulated the mathematical basis for quantum mechanics as the theory of linear operators on Hilbert spaces John von Neumann ...
- Free Documents
... the participants including himself or herself, an experienced navigator of spiritual realms as revealed in the shamanic journey. Over the past decade it has become increasingly clear that while trance techniques are important there are cultures with exceptions Hoppl . More universal is the shamans f ...
... the participants including himself or herself, an experienced navigator of spiritual realms as revealed in the shamanic journey. Over the past decade it has become increasingly clear that while trance techniques are important there are cultures with exceptions Hoppl . More universal is the shamans f ...
Spacetime Physics with Geometric Algebra
... Einstein’s Special Theory of Relativity has been incorporated into the foundations of theoretical physics for the better part of a century, yet it is still treated as an add-on in the physics curriculum. Even today, a student can get a PhD in physics with only a superficial knowledge of Relativity Th ...
... Einstein’s Special Theory of Relativity has been incorporated into the foundations of theoretical physics for the better part of a century, yet it is still treated as an add-on in the physics curriculum. Even today, a student can get a PhD in physics with only a superficial knowledge of Relativity Th ...
Introduction to quantum computation
... less time to solve than the latter, and therefore they should be classified in different classes of complexity. However, one had to wait until the twentieth century to clarify this matter. Actually, the first step was taken in the middle of the nineteenth century by Charles Babbage (1791-1871), who ...
... less time to solve than the latter, and therefore they should be classified in different classes of complexity. However, one had to wait until the twentieth century to clarify this matter. Actually, the first step was taken in the middle of the nineteenth century by Charles Babbage (1791-1871), who ...
Optical and Quantum Communications—J. H. Shapiro, N. C. Wong
... We are embarked on research in the area of quantum information technology whose goal is to enable the quantum-mechanical information transmission, storage, and processing needed for future applications in quantum computing and quantum communication. Our theoretical work in this area has focused on a ...
... We are embarked on research in the area of quantum information technology whose goal is to enable the quantum-mechanical information transmission, storage, and processing needed for future applications in quantum computing and quantum communication. Our theoretical work in this area has focused on a ...
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... This module introduces the basic elements of extragalactic astronomy and observational cosmology. The first half of the module includes the morphological, structural and spectral properties of ell ...
... This module introduces the basic elements of extragalactic astronomy and observational cosmology. The first half of the module includes the morphological, structural and spectral properties of ell ...
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.