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Quantum Mechanics I, Sheet 1, Spring 2015
Quantum Mechanics I, Sheet 1, Spring 2015

... where Iˆ is the identity operator defined in the first problem. (e) If T̂L f (x) = f (x − L), how does T̂L act of f˜(k), the fourier transform of f (x)? In other words, what modification of f˜(k) corresponds to translating f (x) by L? (f) Use parts (c) and (e) to determine how D̂ acts on f˜(k). (g) ...
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... We all know that cryptography is a technique of converting data from one form into another for its safety. Several different algorithms are implemented for maintains safety of data in cryptography. Use of algorithm get differs from the type of cryptography we are using for the encryption. Mostly, th ...
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... nucleus) is equal to 3*(n+N). This gives even for rather small benzene (C6H6) with 12 nuclei and 42 electrons quite large dimension of 162. Thus, the Schrödinger equation(9) has to be somehow simplified which means that some approximations have to be introduced. ...
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... velocity selector of a mass spectrometer. This velocity selector has a magnetic field of 0.820 T and an electric field of 4.00 × 105 V/m perpendicular to one another. These ions then enter into the ion separation region. If the radius of the deflected ions is 5.0cm, what is the strength of the magne ...
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... of energy produced follows E  mc 2 . But why matter itself, when it is still matter and not yet converted into radiant energy, should be related to the speed of light c, has never been satisfactorily explained. The explanation would likely require knowing the internal structure and inner motion, if ...
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... Thus if a system is in a general state (say in one dimension x) y(x), an observation corresponding to A must (by postulate 1) have as its result one of the eigenvalues of A. Repeated observations of A on a set of systems, each in a state (x) will produce a statistical distribution of different eige ...
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... and the set {cmn } are just waiting for an initial ψ̄(x, y) to be provided, at which point they can be set. There are a couple of important differences between the one dimensional infinite square well and this two-dimensional form. The most noticeable is the degeneracy associated with energy. In one ...
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... found in [13,14] for other quantum algorithms with dissipative decoherence. This means that the decay rate relation (6) gives a universal description of dissipative decoherence in various quantum algorithms. Therefore it is possible to compare the three classes of quantum errors described at the beg ...
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Quantum electrodynamics



In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. In essence, it describes how light and matter interact and is the first theory where full agreement between quantum mechanics and special relativity is achieved. QED mathematically describes all phenomena involving electrically charged particles interacting by means of exchange of photons and represents the quantum counterpart of classical electromagnetism giving a complete account of matter and light interaction.In technical terms, QED can be described as a perturbation theory of the electromagnetic quantum vacuum. Richard Feynman called it ""the jewel of physics"" for its extremely accurate predictions of quantities like the anomalous magnetic moment of the electron and the Lamb shift of the energy levels of hydrogen.
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