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Why There are 3 Dimensions Final 4a
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... three and four dimensions we must understand NONE.  So we will start with a point in our four dimensional space. ...
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... Now we will discuss what the preceding considerations have to do with quantum mechanics. In quantum mechanics transformations in space and time are “implemented” or “represented” by unitary transformations on the Hilbert space for the system. The idea is that if you apply some transformation to a ph ...
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... In the next section we shall present a solution to the error correction problem for a special class of channels. The solution depends on the analysis of higher-rank numerical ranges discussed above and specific properties of the channels. Before continuing, however, let us briefly describe a general ...
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Elements of Quantum Mechanics and the H Atom

... experiment in terms of quantum mechanical probability amplitudes. In an actual experiment one may now reduce the light intensity such that only one single photon at a time is near the double slits and participates to the observed interference pattern. One may easily verify such a setup with a partic ...
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Density matrix

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