
Paper
... which we can perform. We shall show that quantum mechanics can be interpreted as theory of such a type. In our approach quantum mechanics is a probabilistic description of physical reality based on the possibility to measure one special chosen (“fundamental”) physical variable – position and its con ...
... which we can perform. We shall show that quantum mechanics can be interpreted as theory of such a type. In our approach quantum mechanics is a probabilistic description of physical reality based on the possibility to measure one special chosen (“fundamental”) physical variable – position and its con ...
Time-Dependent Perturbation Theory - MSU Physics
... In time-independent perturbation theory, the object was to find the new eigenvalues and eigenstates when a system whose states are known is ‘perturbed’ by adding an additional term to the Hamiltonian. The main trick was to multiply the perturbation operator by λ, and then expand both the states and ...
... In time-independent perturbation theory, the object was to find the new eigenvalues and eigenstates when a system whose states are known is ‘perturbed’ by adding an additional term to the Hamiltonian. The main trick was to multiply the perturbation operator by λ, and then expand both the states and ...
ppt
... Quantum Automatic Repeat Request (ARQ) Protocol Fidelity of Quantum ARQ Protocol • Quantum Codes of Finite Lengths • The asymptotical Case (the code length ...
... Quantum Automatic Repeat Request (ARQ) Protocol Fidelity of Quantum ARQ Protocol • Quantum Codes of Finite Lengths • The asymptotical Case (the code length ...
Quantum Manipulation of Ultracold Atoms—V. Vuletic
... be attainable if one can prepare collective states where the state of one atom depends on the states of the other atoms in the sample (entangled states). We plan to investigate a spin squeezing technique that would offer precision below the standard quantum limit, thus moving time/frequency measurem ...
... be attainable if one can prepare collective states where the state of one atom depends on the states of the other atoms in the sample (entangled states). We plan to investigate a spin squeezing technique that would offer precision below the standard quantum limit, thus moving time/frequency measurem ...
Bohr`s atomic model: the evolution of a theory
... introduced the quantum in his model. He used Planck’s quantum hypothese, imposing a condition on a saturnian system that further abided the classical mechanic rules. He created a quantized one electron atom model. Such a system only emitted energy while passing from one state to another. The energie ...
... introduced the quantum in his model. He used Planck’s quantum hypothese, imposing a condition on a saturnian system that further abided the classical mechanic rules. He created a quantized one electron atom model. Such a system only emitted energy while passing from one state to another. The energie ...
Effective Hamiltonians and quantum states
... solves (1.2) up to an error term of order O(2 ), for E = H̄(P ). This however makes no sense at all, since u is only Lipschitz continuous and σ is merely a measure: The square root in (3.1) is undefined and ψ is not smooth enough to insert into the left-hand side of the PDE (1.2). We will, naively, ...
... solves (1.2) up to an error term of order O(2 ), for E = H̄(P ). This however makes no sense at all, since u is only Lipschitz continuous and σ is merely a measure: The square root in (3.1) is undefined and ψ is not smooth enough to insert into the left-hand side of the PDE (1.2). We will, naively, ...
final1-273711-quantumdots-final-report-30-06-2013
... role in quantum networks where nodes incorporating a small number of spin-qubits are interconnected using photons. While the finite efficiency of quantum state transfer is in general an important limitation, the heralding of successful transfer renders the implemented protocol relevant for schemes s ...
... role in quantum networks where nodes incorporating a small number of spin-qubits are interconnected using photons. While the finite efficiency of quantum state transfer is in general an important limitation, the heralding of successful transfer renders the implemented protocol relevant for schemes s ...
Nanodevices for quantum computation
... interaction is controlled by front gates. It is demonstrated (also experimentally) that the quantum operations can be performed by proper manipulations of the magnetic field and gate voltages. (see Burkard, cond-mat/0409626, for a review of solid state devices) ...
... interaction is controlled by front gates. It is demonstrated (also experimentally) that the quantum operations can be performed by proper manipulations of the magnetic field and gate voltages. (see Burkard, cond-mat/0409626, for a review of solid state devices) ...
Quantum Zeno Effect, Anti Zeno Effect and the Quantum recurrence theorem
... where Ps (t) is the probability of finding the particle undecayed in each measurement (this is important). We get a decay factor of Γ = |V |2 τ ...
... where Ps (t) is the probability of finding the particle undecayed in each measurement (this is important). We get a decay factor of Γ = |V |2 τ ...
Advanced Atomic, Molecular and Optical Physics
... interference of many continuous wave (cw) longitudinal cavity modes. These modes at ωn form a series of frequency spikes that is called frequency comb. The individual modes can be selected by phase locking other cw lasers to them. The separation between adjacent modes is constant across the frequenc ...
... interference of many continuous wave (cw) longitudinal cavity modes. These modes at ωn form a series of frequency spikes that is called frequency comb. The individual modes can be selected by phase locking other cw lasers to them. The separation between adjacent modes is constant across the frequenc ...
... The structure of self-adjoint operators on infinite-dimensional Hilbert spaces essentially resemble the finitedimensional case, that is to say, operators are self-adjoint if and only if they are unitarily equivalent to realvalued multiplication operators. With suitable modifications, this result can ...
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.