Theoretical Atomic Physics, 3rd edition by Harald Friedrich

By Harald Friedrich

This tested textual content comprises a complicated presentation of quantum mechanics tailored to the necessities of contemporary atomic physics. The 3rd variation extends the profitable moment variation with a close therapy of the wave movement of atoms, and it additionally includes an advent to a few facets of atom optics that are suitable for present and destiny experiments related to ultra-cold atoms. incorporated: numerous issues of whole ideas.

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Additional resources for Theoretical Atomic Physics, 3rd edition

Example text

10 the potential is less attractive and the resonance lies close to the maximum of the barrier. 235). Fig. 9. 240) for angular momentum quantum h2 /µ = 1).

Now X is the radial coordinate r and Y stands for the angular variables (θ, φ) of the point particle as well as all other degrees of freedom. 214) k =k and the channel index k covers the angular momentum quantum numbers of the point particle and all other quantum numbers of the other degrees of freedom. If the coupling potentials vanish asymptotically (r → ∞) we can distinguish between closed and open channels of the system. In closed channels the motion is bound and the channel wave functions φk (r) vanish asymptotically.

The asymptotic phase shift is a very important quantity, because it carries the information about the physical effect of the potential in the inner region into the asymptotic region. Such phase shifts determine observable cross sections in scattering and reaction experiments (see Chap. 4). 93). 3 Bound States and Unbound States 21 Fig. 3. Asymptotic phase shifts in the radial wave function, obtained by matching the inner wave function to the outer wave function at the matching radius r0 . 104) at two different (positive) energies; the solid lines are the regular physical solutions in the presence of the attractive square well potential of Fig.

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