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0 Nonperturbative Techniques for QED Bound States ∗
Advantages of using a low-energy effective theory to study bound state properties are briefly discussed, and a nonperturbative implementation of such an effective theory is described within the context of nonrelativistic quantum mechanics. The hydrogen atom, in the approximation of a structureless, infinite-mass nucleus, but with the leading relativistic and radiative corrections included, is u...
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Nonrelativistic QED bound states are difficult to study because of the presence of at least three widely different scales: the masses, three-momenta (pi) and kinetic energies (Ki) of the constituents. Nonrelativistic QED (NRQED), an effective field theory developed by Caswell and Lepage, simplifies greatly bound state calculations by eliminating the masses as dynamical scales. As we demonstrate...
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Within quantum mechanics model we study the problem of resummation of an asymptotic perturbation series for bound state parameters via optimization of the perturbative expansion. A possible application of the method to the positronium lifetime calculation is also briefly considered.
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Bound state perturbation theory applies to the bound states of perturbed systems, for which the energy levels are discrete and separated from one another. The system may also have a continuous spectrum, but the interest is attached to the discrete states. The effects of perturbations on states of the continuous spectrum, or on discrete states imbedded in the continuum, require different techniq...
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Michael Dine, Patrick Draper, Howard E. Haber, and Laurel Stephenson Haskins Santa Cruz Institute for Particle Physics and Department of Physics, Santa Cruz, California 95064, USA Department of Physics, University of California, Santa Barbara, California 93106, USA Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA Amherst Center for Fundamen...
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ژورنال
عنوان ژورنال: Zeitschrift für Physik C Particles and Fields
سال: 1984
ISSN: 0170-9739,1434-6052
DOI: 10.1007/bf01557481