
Dynamics of Quantum Many Body Systems Far From Thermal
... We start the discussion from a very general and qualitative definition of what thermal equilibrium is. We could say that a macroscopic system is said to be in thermal equilibrium when • its state (physical properties) is defined in terms of a unique set of intensive and extensive variables which do ...
... We start the discussion from a very general and qualitative definition of what thermal equilibrium is. We could say that a macroscopic system is said to be in thermal equilibrium when • its state (physical properties) is defined in terms of a unique set of intensive and extensive variables which do ...
Density Operator Theory and Elementary Particles
... implication of this definition is that the wave function or ket is the fundamental object which represents the quantum state. From these, the density operator is derived, and then, the only use of the pure density operator is in its providing a core on which to build the statistical generalization. ...
... implication of this definition is that the wave function or ket is the fundamental object which represents the quantum state. From these, the density operator is derived, and then, the only use of the pure density operator is in its providing a core on which to build the statistical generalization. ...
Complete Axiomatizations for Quantum Actions
... propositions and actions. Due to lack of space and for reasons of simplicity, we do not develop this third, more syntactic, approach here, but we plan to write a separate paper on the issue.3 Nevertheless, we think that the semantic and algebraic axiomatizations presented here are an important contr ...
... propositions and actions. Due to lack of space and for reasons of simplicity, we do not develop this third, more syntactic, approach here, but we plan to write a separate paper on the issue.3 Nevertheless, we think that the semantic and algebraic axiomatizations presented here are an important contr ...
The notion of four-momentum in TGD
... elementary particle spectrum can be understood if Super Virasoro algebra has five tensor factors. Can one decide the fate of the two approaches to EP using this number as an input? 1. For the coset option the situation is unclear. Even the definition of coset representation is problematic. If Super ...
... elementary particle spectrum can be understood if Super Virasoro algebra has five tensor factors. Can one decide the fate of the two approaches to EP using this number as an input? 1. For the coset option the situation is unclear. Even the definition of coset representation is problematic. If Super ...
PDF
... in teleportation by the dependence of the unitary correction on the result of the measurement of q and qA ), to be captured within the formalism. In this respect, our formalism is more comprehensive than the standard von Neumann axiomatization. In the standard approach, the use of measurement result ...
... in teleportation by the dependence of the unitary correction on the result of the measurement of q and qA ), to be captured within the formalism. In this respect, our formalism is more comprehensive than the standard von Neumann axiomatization. In the standard approach, the use of measurement result ...
Laser written waveguide photonic quantum circuits
... and fundamental science will require integrated optical circuits that offer high-fidelity and stability whilst enabling scalability. Silica-on-silicon waveguide photonic quantum circuits [7] are an important step, however, conventional lithography is costly, time consuming, and limited to two-dimens ...
... and fundamental science will require integrated optical circuits that offer high-fidelity and stability whilst enabling scalability. Silica-on-silicon waveguide photonic quantum circuits [7] are an important step, however, conventional lithography is costly, time consuming, and limited to two-dimens ...
PDF
... qubits—one at each site—then with local operations and classical communication they can transfer an arbitrary qubit from one to the other by some more quantum weirdness: qubit teleportation [6]. ...
... qubits—one at each site—then with local operations and classical communication they can transfer an arbitrary qubit from one to the other by some more quantum weirdness: qubit teleportation [6]. ...
Nuclear physics
... micrometer thick, then using the diameter of a gold atom from the periodic table, the foil is ~ 2800 atoms thick. ...
... micrometer thick, then using the diameter of a gold atom from the periodic table, the foil is ~ 2800 atoms thick. ...
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.