
1 The quantum-classical boundary and the moments of inertia of
... intellectual enigma for about a century, and has been examined in a variety of experimental and theoretical studies. Interest in various aspects of this topic has continued in recent years (Zurek, 2002; Leggett, 2002; Bhattacharya et al., 2004; Adler and Bassi, 2009). Achieving a clearer understandi ...
... intellectual enigma for about a century, and has been examined in a variety of experimental and theoretical studies. Interest in various aspects of this topic has continued in recent years (Zurek, 2002; Leggett, 2002; Bhattacharya et al., 2004; Adler and Bassi, 2009). Achieving a clearer understandi ...
TT 49: Transport: Topological Semimetals 2 (jointly with DS, MA, HL
... Topological properties of magnetic semi-metals with nonsymmorphic symmetries — ∙Andreas P. Schnyder — Max Planck Institute of Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart Topological semi-metals exhibit band crossings near the Fermi energy, which are protected by the non-trivial topolo ...
... Topological properties of magnetic semi-metals with nonsymmorphic symmetries — ∙Andreas P. Schnyder — Max Planck Institute of Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart Topological semi-metals exhibit band crossings near the Fermi energy, which are protected by the non-trivial topolo ...
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... upon a particular subspace φ of the Hilbert space. By contrast a mixed state, or a mixture, is a sum of such projectors upon pure states vi with associated statistical weights ( pi, 0 ≤ pi ≤ 1, with Σ pi =1), represented by a non-idempotent operator of trace one: W = ∑ pn P[vi]. A much-discussed int ...
... upon a particular subspace φ of the Hilbert space. By contrast a mixed state, or a mixture, is a sum of such projectors upon pure states vi with associated statistical weights ( pi, 0 ≤ pi ≤ 1, with Σ pi =1), represented by a non-idempotent operator of trace one: W = ∑ pn P[vi]. A much-discussed int ...
Introduction - the Max Planck Institute for the Physics of Complex
... Entanglement spectrum of the 12-particle 1/3 Laughlin state for L1 =10. Left panels show the symmetric cut and right panels show one of the asymmetric cuts (see above). The blue squares represent numerically obtained data. The assigned edge modes are labeled by green dots while the combinations of t ...
... Entanglement spectrum of the 12-particle 1/3 Laughlin state for L1 =10. Left panels show the symmetric cut and right panels show one of the asymmetric cuts (see above). The blue squares represent numerically obtained data. The assigned edge modes are labeled by green dots while the combinations of t ...
A scheme for efficient quantum computation with linear optics
... Quantum teleportation has proved to be a very versatile tool in QIP23,24. Here we use it to increase the probability of success of coupling gates by reducing the implementation of c±z to a state preparation problem. A basic quantum teleportation protocol T1 for transferring the state a0 j0i1 a1 j1 ...
... Quantum teleportation has proved to be a very versatile tool in QIP23,24. Here we use it to increase the probability of success of coupling gates by reducing the implementation of c±z to a state preparation problem. A basic quantum teleportation protocol T1 for transferring the state a0 j0i1 a1 j1 ...
Solid State Physics from the Mathematicians` Point of View
... periodic (eigen)functions as they would not be square integrable over the entire space R3 , and hence would not be interpretable in terms of any probability. On the other hand, Bloch and others defined a particular type of lattice and formulated the equations for the eigenfunctions on them. We could ...
... periodic (eigen)functions as they would not be square integrable over the entire space R3 , and hence would not be interpretable in terms of any probability. On the other hand, Bloch and others defined a particular type of lattice and formulated the equations for the eigenfunctions on them. We could ...
Verification of Concurrent Quantum Protocols by Equivalence
... not everyone is convinced that it is truly quantum. On the other hand, quantum communication and cryptography have made large strides and is now well established. Physical restrictions of quantum communication, like preserving photon states over long distances, are gradually being resolved, for exa ...
... not everyone is convinced that it is truly quantum. On the other hand, quantum communication and cryptography have made large strides and is now well established. Physical restrictions of quantum communication, like preserving photon states over long distances, are gradually being resolved, for exa ...
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... Written Examinations = 0%, Practical Examinations = 0%, Coursework = 100% As used by St Andrews: Coursework on basis of exercises = 100% ...
... Written Examinations = 0%, Practical Examinations = 0%, Coursework = 100% As used by St Andrews: Coursework on basis of exercises = 100% ...
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.