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Anti Heisenberg—The End of Heisenberg`s Uncertainty Principle

The effects of disorder in strongly interacting quantum systems
The effects of disorder in strongly interacting quantum systems

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... which is suitable as a measure of the uncertainty about the concrete result of experiment, provided the probabilities of all experimental outcomes are given, Shannon formulated a few postulates for the information measure [1]: ...
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... of four one-spin operators: 12 E, Ix , Iy and Iz . (In NMR experiments the first spin is traditionally called I, while later spins are usually called S, R and T in that order.) The last three operators are simply related to the conventional Pauli matrices by Ix = 21 σx , and so on, while 21 E = 1/2 ...
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... Group of the Saarland University. I would like to thank its leader Giovanna Morigi to have welcomed me in the group, and to have proposed me an interesting research subject. Even if the original plan has not been fulfilled, I really appreciated the human and scientific environment of the team. There ...
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Non-Abelian Anyons and Topological Quantum Computation

... equivalent to a process in which one of the particles is adiabatically taken around the other. Since, in three dimensions, wrapping one particle all the way around another is topologically equivalent to a process in which none of the particles move at all, the wave function should be left unchanged ...
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... will become a “roton” hopping term. In the fermion Hamiltonian HZf 2, we have defined the antisymmetric matrix ⑀␴␴⬘ y = i␴␴␴ , and take ⌬ j = 共−1兲 j⌬, which describes a nearest⬘ neighbor pair field with d-wave symmetry. Apart from the first two terms familiar to aficionados of the Z2 gauge theory,5 ...
Algebraic Study on the Quantum Calogero Model
Algebraic Study on the Quantum Calogero Model

... For instance, the problem on the hydrogen atom, which played a crucial role in bringing high credit to quantum mechanics, is a typical example of the models whose eigenvalue problems are exactly soh·able by separation of variables. This system has three, which is the same as the number of degrees of ...
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... Basic Facts About Boolean Functions Boolean functions Any function f : {0, 1}n → {0, 1}m , where n is the number of input bits and m the number of output bits is said to be a Boolean function. Any Boolean function can be represented by a truth table. If f = (f1 , . . . , fm ), this is a matrix of s ...
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... largely eliminated (becoming simply a question of impedance matching). Furthermore, with modern lithographic techniques, parallel fabrication of complex structures is relatively straightforward lending hope that (someday) it will be possible to scale up to processors with large numbers of qubits. We ...
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... I worked with Bruce Klappauf from nearly the beginning of my graduate studies to build up the cesium experiment from scratch, and he worked on the early kickedrotor experiments in Chapter 4. Bruce is not only laid back and very easy to work with, but also good at simply making things work. His insig ...
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... macroscopical part of system of bosonic particles fills the same quantum state at low temperature. This effect was predicted in 1924, but the experimental observation has been carried out only in 1995 and extensive theoretical study of such systems started and diversified from that time. The great i ...
Lectures on the Geometry of Quantization
Lectures on the Geometry of Quantization

... [59]. Finally, two basic references on quantum mechanics itself are [13] and [20]. Although symplectic geometry is like any field of mathematics in having its definitions, theorems, etc., it is also a special way of looking at a very broad part of mathematics and its applications. For many “symplect ...
atomic physics (phys4011) lecture notes
atomic physics (phys4011) lecture notes

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Path integral formulation

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