LINEAR SCALING ELECTRONIC STRUCTURE METHODS IN
... therefore consider these methods as the crudest quantum mechanical approach. The total energy in semiempirical methods is the sum over all occupied eigenvalues of the Hamiltonian matrix and possibly other easy-tocalculate contributions from classical positiondependent potentials. The computational b ...
... therefore consider these methods as the crudest quantum mechanical approach. The total energy in semiempirical methods is the sum over all occupied eigenvalues of the Hamiltonian matrix and possibly other easy-tocalculate contributions from classical positiondependent potentials. The computational b ...
Twisted Equivariant Matter - Rutgers Physics
... of matter to K-theory. So, we spent some time struggling to understand what these papers had to say to us, and then we wrote our own version of this story. That paper is the subject of today’s talk. I’ll be explaining things that you all probably know, but in a language which is perhaps somewhat unu ...
... of matter to K-theory. So, we spent some time struggling to understand what these papers had to say to us, and then we wrote our own version of this story. That paper is the subject of today’s talk. I’ll be explaining things that you all probably know, but in a language which is perhaps somewhat unu ...
A functional quantum programming language
... use the letters A, B, C. While classical computations are carried out on the elements of those sets, quantum computations take place in finite dimensional Hilbert spaces; we write CA for the space generated by A, whose elements are functions 2 . A reversible finite computation, that is a closed comp ...
... use the letters A, B, C. While classical computations are carried out on the elements of those sets, quantum computations take place in finite dimensional Hilbert spaces; we write CA for the space generated by A, whose elements are functions 2 . A reversible finite computation, that is a closed comp ...
The role of Chern Simons theory in solving the fractional quantum
... • Once you take them seriously, you realize that they have numerous other, at-first-sight-bizarre consequences, which you would never believe, or even think of, if you did not know of composite fermions. • A large number of such effects have been verified in experimental and theoretical studies carr ...
... • Once you take them seriously, you realize that they have numerous other, at-first-sight-bizarre consequences, which you would never believe, or even think of, if you did not know of composite fermions. • A large number of such effects have been verified in experimental and theoretical studies carr ...
Full text in PDF form
... to our discussion (see Section II and the Appendix), the parameter β is related to the surface gravity, so that we can impose the identification β ∼ rh , or T ∼ (GM )−1 , which is the BekensteinHawking temperature defined in the Introduction. The q-deformation parameter is related to β (see Appendix ...
... to our discussion (see Section II and the Appendix), the parameter β is related to the surface gravity, so that we can impose the identification β ∼ rh , or T ∼ (GM )−1 , which is the BekensteinHawking temperature defined in the Introduction. The q-deformation parameter is related to β (see Appendix ...
Can Quantum-Mechanical Description of Physical Reality be
... of the associated wave diffracted from the slit of the first diaphragm. By another experimental arrangement, where the first diaphragm is not rigidly connected with the other parts of the apparatus, it would at least in principle* be possible to measure its momentum with any desired accuracy before ...
... of the associated wave diffracted from the slit of the first diaphragm. By another experimental arrangement, where the first diaphragm is not rigidly connected with the other parts of the apparatus, it would at least in principle* be possible to measure its momentum with any desired accuracy before ...
Dissipative decoherence in the Grover algorithm
... static energy shifts of individual qubits which may generate many-body quantum chaos in a quantum computer hardware [11]. This second type of errors, e.g. static imperfections, gives a more rapid decay of fidelity as it has been shown in [12,10]. In the case of quantum algorithms for a complex dynam ...
... static energy shifts of individual qubits which may generate many-body quantum chaos in a quantum computer hardware [11]. This second type of errors, e.g. static imperfections, gives a more rapid decay of fidelity as it has been shown in [12,10]. In the case of quantum algorithms for a complex dynam ...
An Historical and Modern View on Bell`s Inequality
... The realist position is that the particle was at x0 (it should be noted that if this were the case quantum mechanics would be an incomplete theory). The orthodox position is that the particle wasn’t really anywhere. One can also refuse to answer, saying that the question is a metaphysical one; this ...
... The realist position is that the particle was at x0 (it should be noted that if this were the case quantum mechanics would be an incomplete theory). The orthodox position is that the particle wasn’t really anywhere. One can also refuse to answer, saying that the question is a metaphysical one; this ...
Bits more basic for physics than fundamental particles?
... membranes, as previously there were superstrings in many dimensions, most often ten, sometimes up to perhaps 26 (we will return to the subject of dimensions presently). What interconnections, if any, may exist between energy, entropy, and information? Because we know that there seem to be a connecti ...
... membranes, as previously there were superstrings in many dimensions, most often ten, sometimes up to perhaps 26 (we will return to the subject of dimensions presently). What interconnections, if any, may exist between energy, entropy, and information? Because we know that there seem to be a connecti ...
Implementation of a quantum algorithm on a nuclear magnetic
... been directed toward implementing quantum computers using ions trapped by electric and magnetic fields,9 and while this approach has shown some success,10 it has proved difficult to progress beyond computers containing a single twolevel system ~corresponding to a single quantum bit, or qubit!. Recen ...
... been directed toward implementing quantum computers using ions trapped by electric and magnetic fields,9 and while this approach has shown some success,10 it has proved difficult to progress beyond computers containing a single twolevel system ~corresponding to a single quantum bit, or qubit!. Recen ...
... Quantitative treatment of laser physics embracing both classical and semiclassical approaches; transient/dynamic behaviour of laser oscillators including relaxation oscillations, amplitude and phase modulation, frequency switching, Q-switching, cavity dumping and mode locking; design analysis of opt ...
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.