CONCEPTUAL FOUNDATIONS OF THE UNI- FIED THEORY OF WEAK AND ELECTROMAG-
... Limitations of this sort are, after all, what we most want , not mathematical methods which can make sense of an infinite variety of physically irrelevant theories, but methods which carry constraints, because these constraints may point the way toward the one true theory. In particular, I was impre ...
... Limitations of this sort are, after all, what we most want , not mathematical methods which can make sense of an infinite variety of physically irrelevant theories, but methods which carry constraints, because these constraints may point the way toward the one true theory. In particular, I was impre ...
Through scattering theory with gun and camera: Coping with conventions
... Practitioners of quantum collision theory sometimes run afoul of ambiguities that are inherent in time-independent continuum-state quantum mechanics. Two of these ambiguities concern the normalization of continuum functions, and two others concern relations between various scattering matrices. The f ...
... Practitioners of quantum collision theory sometimes run afoul of ambiguities that are inherent in time-independent continuum-state quantum mechanics. Two of these ambiguities concern the normalization of continuum functions, and two others concern relations between various scattering matrices. The f ...
Continuous Variable Quantum Information: Gaussian States and
... These distributions are referred to as ‘quasi’-probability because they sum up to unity, yet do not behave entirely as one would expect from probability distributions. In particular, there are (infinitely many) quantum states ρ for which the function Wρs is not a regular probability distribution for ...
... These distributions are referred to as ‘quasi’-probability because they sum up to unity, yet do not behave entirely as one would expect from probability distributions. In particular, there are (infinitely many) quantum states ρ for which the function Wρs is not a regular probability distribution for ...
Inconsistencies of the Adiabatic Theorem and the Berry Phase
... Adiabatic theorem is one of the most important and widely studied theorems in quantum mechanics [1,2]. It states that if we have a slowly changing Hamiltonian that depends on time, and the system is prepared in one of the instantaneous eigenstates of the Hamiltonian then the state of the system at a ...
... Adiabatic theorem is one of the most important and widely studied theorems in quantum mechanics [1,2]. It states that if we have a slowly changing Hamiltonian that depends on time, and the system is prepared in one of the instantaneous eigenstates of the Hamiltonian then the state of the system at a ...
Quantum Computational Complexity - Cheriton School of Computer
... the quantum complexity class of all decision problems that can be solved in polynomial time by a quantum computer. Quantum proof. A quantum proof is a quantum state that plays the role of a witness or certificate to a quantum computer that runs a verification procedure. The quantum complexity class ...
... the quantum complexity class of all decision problems that can be solved in polynomial time by a quantum computer. Quantum proof. A quantum proof is a quantum state that plays the role of a witness or certificate to a quantum computer that runs a verification procedure. The quantum complexity class ...
Superposition, Entanglement, and Raising Schrödinger’s Cat Nobel Lecture, December 8, 2012
... of deuterium’s hyperfine transition relative to that of hydrogen (λ = 21 cm) (Wineland and Ramsey, 1972). Most importantly, this experiment taught me to pay close attention to, and control as best as possible, all environmental effects that would shift the measured transition frequency from that fou ...
... of deuterium’s hyperfine transition relative to that of hydrogen (λ = 21 cm) (Wineland and Ramsey, 1972). Most importantly, this experiment taught me to pay close attention to, and control as best as possible, all environmental effects that would shift the measured transition frequency from that fou ...
Quantum walk search on satisfiability problems random
... The classical random walk is one of the most basic concepts of probability. When formulated with a finite number of states, it consists of randomly choosing paths between vertices on a graph, and many randomized algorithms for computing are such walks. These randomized algorithms are significant bec ...
... The classical random walk is one of the most basic concepts of probability. When formulated with a finite number of states, it consists of randomly choosing paths between vertices on a graph, and many randomized algorithms for computing are such walks. These randomized algorithms are significant bec ...
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... systems, but even for the spatial degrees of freedom of a spinless particle, it is not always true that the generator of rotations is r×p (for example, in the presence of magnetic fields). We take the generator of rotations to be the most fundamental role of angular momentum, because, among other re ...
... systems, but even for the spatial degrees of freedom of a spinless particle, it is not always true that the generator of rotations is r×p (for example, in the presence of magnetic fields). We take the generator of rotations to be the most fundamental role of angular momentum, because, among other re ...
Past Research
... I work on the cohomology, structure, and representations of various types of rings, such as Hopf algebras and group-graded algebras. My research program has involved collaborations with many mathematicians, including work with postdocs and graduate students. Below is a summary of some of my past res ...
... I work on the cohomology, structure, and representations of various types of rings, such as Hopf algebras and group-graded algebras. My research program has involved collaborations with many mathematicians, including work with postdocs and graduate students. Below is a summary of some of my past res ...
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.