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Quantum Stein`s lemma revisited, inequalities for quantum entropies
Quantum Stein`s lemma revisited, inequalities for quantum entropies

... Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . An elementary proof of quantum Stein’s lemma . . . . . . . . Monotonicity and joint convexity of quantum relative entropy Lieb’s concavity theorem: Tropp’s argument . . . . . . . . . . Historical remarks and related work . . . . . ...
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Introduction to the Bethe Ansatz I

... A few years after the formulation of quantum mechanics, Heisenberg and Dirac1 discovered that one of its wondrous consequences was the key to the age-old mystery of ferromagnetism. They found that the laws of quantum mechanics imply the existence of an effective interaction, Jij Si · Sj , between el ...
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L6 - Physics

... b) We know (from experiment) that the p is captured by the d in an s-wave state. Thus the total angular momentum of the initial state is just that of the d (J=1). c) The isospin of the nn system is 1 since d is an isosinglet and the p- has I=|1,-1> note: a |1,-1> is symmetric under the interchange o ...
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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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