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Kern- und Teilchenphysik I Lecture 10: Dirac Equation II
Kern- und Teilchenphysik I Lecture 10: Dirac Equation II

... of particle interactions. Here we consider its transformation properties. • Under a Lorentz transformation we have and for the adjoint spinor: • First consider the transformation properties of where ...
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... was still firmly rooted in everyday spatial and temporal experience. These theories required a serious treatment of infinitesimals, which laid the foundations for differential geometry that underlies Hamiltonian and Lagrangian mechanics and many further physical theories. Maxwell’s theory of electro ...
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... model in which the single hydrogen electron can only be in certain definite orbits. • In the nth allowed orbit, the electron has orbital angular momentum nh/2π (see Figure on the right). • Bohr proposed that angular momentum is quantized (this will turn out to be correct in general in quantum mechan ...
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... • Any single-mode excited field is fully space-time coherent – So ρ diagonal in n O.K. – “Coherent states” special in that a multimode CS field is equivalent to a single-mode one – Only fixed relative phases between modes essential for homodyne detection • Field expansion (quantum Karhunen-Loeve) ...
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... loop/rings for the electron(s) and a sphere (or sphere clusters) for the nuclei. Hence, since these are considered separate entities, the strong nuclear force cannot be reconciled to the electromagnetic forces of the electron field. Such models are wrong because they treat each field object as being ...
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... Classical mechanics is concerned with bodies acted on by forces and bodies in motion and may be divided into statics (study of the forces on a body or bodies at rest), kinematics (study of motion without regard to its causes), and dynamics (study of motion and the forces that affect it); mechanics m ...
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... semiconductor nanostructures, it became clear that this effect provides a sensitive probe of the ground state properties of a confined, strongly interacting system. Much of the research in the past few years has concentrated on mapping out the energy spectrum in the regime of the integer quantum Hall ...
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... In the normal state of affairs of our daily experience, we deal with three phases of matter: solid, liquid and gas. A fourth, high energy phase of matter, plasma, occurs in many high energy processes, as prosaic as a fire or in an astrophysical context as in the core of a star. We distinguish among ...
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... •Given information about the principle energy level or shell, subshell (s, p, d, or f), and orbital, be able to determine a set of 4 possible quantum numbers for an electron •Be able to recognize that no two electrons in the same atom can have the same values for each of the 4 quantum numbers •Be ab ...
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Wave–particle duality

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