100, 027001 (2008)
... zero modes, 1 and 2p, one can define a composite operator qy 1 i2 = 2, and its Hermitian conjugate q, which satisfy Fermi anticommutation relations. If an elec0031-9007=08=100(2)=027001(4) ...
... zero modes, 1 and 2p, one can define a composite operator qy 1 i2 = 2, and its Hermitian conjugate q, which satisfy Fermi anticommutation relations. If an elec0031-9007=08=100(2)=027001(4) ...
Ontological Status of Molecular Structure - HYLE-
... Other founding fathers of quantum mechanics certainly knew better: in particular, Born and Oppenheimer considered it extremely important for the validation of the new-born quantum mechanics that it should be proven that, despite the uncertainty principle, the new theory was perfectly compatible with ...
... Other founding fathers of quantum mechanics certainly knew better: in particular, Born and Oppenheimer considered it extremely important for the validation of the new-born quantum mechanics that it should be proven that, despite the uncertainty principle, the new theory was perfectly compatible with ...
A Functional Architecture for Scalable Quantum Computing
... qubit gates and 102 ns for the SWAP class gates in the 40qubit example from Figure 2, with an average T1 = 10µs, and two-qubit fidelity of 99.69% would result in a TQF of 3921. From an algorithmic perspective, TQF gives a rough estimates of the size of the quantum circuit (circuit width times circui ...
... qubit gates and 102 ns for the SWAP class gates in the 40qubit example from Figure 2, with an average T1 = 10µs, and two-qubit fidelity of 99.69% would result in a TQF of 3921. From an algorithmic perspective, TQF gives a rough estimates of the size of the quantum circuit (circuit width times circui ...
Testing the Symmetrization Postulate of Quantum Mechanics and
... and wn is the nuclear spin function. For integer-spin nuclei, the total wavefunction wt must be symmetric in the exchange of two nuclei. Since the nuclear spin is zero, wn is obviously symmetric. The vibrational wave function wv is also unaltered in the exchange of the nuclei because it depends only ...
... and wn is the nuclear spin function. For integer-spin nuclei, the total wavefunction wt must be symmetric in the exchange of two nuclei. Since the nuclear spin is zero, wn is obviously symmetric. The vibrational wave function wv is also unaltered in the exchange of the nuclei because it depends only ...
Science Journals — AAAS
... Fig. 1C and consists of three interferometers designed to be inherently phase-stable. Pairs of polarization entangled photons, produced by two SPDC crystals (see Materials and Methods), impinge on a PBS. Two orthogonally polarized photons, one from each source, are sent to separate displaced Sagnac ...
... Fig. 1C and consists of three interferometers designed to be inherently phase-stable. Pairs of polarization entangled photons, produced by two SPDC crystals (see Materials and Methods), impinge on a PBS. Two orthogonally polarized photons, one from each source, are sent to separate displaced Sagnac ...
Spin Angular Momentum and the Dirac Equation
... motion of the medium. If the nonlinear terms do not cancel, they must be in phase with the other terms. Replacing the nonlinear terms by M 2 Q yields : ∂t2 Q − c2 ∇2 Q + M 2 Q = 0 . ...
... motion of the medium. If the nonlinear terms do not cancel, they must be in phase with the other terms. Replacing the nonlinear terms by M 2 Q yields : ∂t2 Q − c2 ∇2 Q + M 2 Q = 0 . ...
Quantum Computing With Closed Timelike Curves
... RCR and RCTC, as well as a (classical) input |x to RCR Let Cx be the induced superoperator acting on RCTC only Nature is forced to find a mixed state CTC such that Cx(CTC)=CTC (If there’s more than one such , Nature can choose one ...
... RCR and RCTC, as well as a (classical) input |x to RCR Let Cx be the induced superoperator acting on RCTC only Nature is forced to find a mixed state CTC such that Cx(CTC)=CTC (If there’s more than one such , Nature can choose one ...
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.