Classical, Semiclassical and Quantum Dynamics in Atoms by Harald Friedrich, Bruno Eckhardt

By Harald Friedrich, Bruno Eckhardt

During this booklet, the various world's prime researchers in quantum, classical and atomic physics cooperate to offer an up to date account of the hot development within the box. the 1st half highlights the most recent advances in semiclassical conception, while the second is dedicated to purposes to atomic platforms. The authors current the cloth in pedagogical shape to make it effortless interpreting for non-specialists, too. one of the themes handled, the reader will discover a new quasiclassical quantization scheme for Hamiltonian dynamics, an program of the semiclassical formalism to photodissociation of small molecules and to the Lorentz gasoline and discussions of tunneling corrections. additionally, one unearths papers on chaotic ionization, at the behaviour of hydrogen atoms in exterior fields, e.g. magnetic or microwave fields.

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Our goal is to determine the coupling constant g in Eq. 19. One can imagine different philosophies with which to approach this question. One can imagine computing the interaction energy for two particles in some configuration to determine g from an ab initio description of the atoms in terms of the nuclei and electrons comprising them. However, this is very challenging, and despite the fact that g is just a measure of two particles’ interactions, it is still impossible to compute g with significant accuracy for many-electron atoms even with sophisticated numerical techniques and computational power.

These are convenient: their simple internal structure and single unpaired electron allow for straightforward optical and magnetic manipulation. Nevertheless, extensions of the techniques developed for alkalis have enabled BEC’s of metastable He [3, 4] and several isotopes of Cr [5], Yb [6], Ca [7], and Sr [8, 9], as well as nearly degenerate Feshbach or ground state KRb molecules [10]. References [1, 2] contain more details and references. It is worth noting that at these temperatures, the true equilibrium state is not a Bose–Einstein condensate, but a solid.

Research in this area is driven by its connection to condensed matter physics and quantum information processing [1, 2]. A rich set of probes, including optical spectroscopy, noise spectroscopy, interference, and density profile measurements [3–8], have been used to characterize these systems, with a focus on understanding the interaction driven superfluid–insulator transition. Here we analyze in detail what information one gains from inhomogeneous pressure shifts of spectral lines in a gas of bosons confined to an optical lattice.

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