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On the Extinction Paradox

100%
Żakowicz W.
Acta Physica Polonica A
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2002
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vol. 101
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issue 3
369-385
EN
The extinction paradox, the difference of classical and quantum scattering cross-sections for the scattering of particles by a rigid sphere (σ^Q=2π a^2=2σ^C for ka ≫ 1), is analyzed in a simpler 2D model of a rigid cylindrical potential. Rigorous solutions of the Schrödinger equation for particle beams, including also finite width beams, are derived and employed in the description of the scattering process. The scattering particle fluxes, with a thorough treatment of the forward directions, are being studied. It is pointed out that for wide beams (w ≫ a) the scattered flux can reach the value determined by the quantum theory, provided that it is measured at distances R ≫ waλ. Moderately narrow beams (1≪ w≪ a) behave as classical trajectories, and their scattering can be described in classical terms. Thus, the classical limit of quantum scattering requires not only that the de Broglie wavelength λ_B is much smaller than the size of the scatterer (a ≫ λ_B), but also that the transverse width of beams of de Broglie's waves is small, w≪ a.
2
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Spontaneous Emission by Atoms in Simple Environments

100%
Żakowicz W.
Acta Physica Polonica A
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2002
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vol. 101
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issue 1
119-131
EN
Spontaneous radiation by atoms in the presence of the planar dielectric-vacuum interface, planar dielectric waveguides and cylindrical dielectric waveguides are discussed in the frame of cavity quantum electrodynamics in full analogy with that in free space. However, quantization of the electromagnetic field should be based on the modes appropriate to the selected space structure. These quantizations are usually based on incoming waves. However, the discussion of the angular intensity pattern of spontaneous emission can be simplified if the quantization is based on outgoing modes. Using these outgoing photons the angular emission radiation pattern has been obtained from a straightforward application of the perturbative method of the quantum radiation theory. Adding a contribution of the waveguiding photons attached to the waveguides (when they are present) the total emission of the spontaneous radiation and excitation decay rates of atoms radiating in these systems have been derived.
3
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Quantum Optics of Atomic Wave-Packets

45%
Rzążewski K., Plaja-Rustein L., Pumares-Carceller L., Roso-Franco L., Żakowicz W.
Acta Physica Polonica A
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1994
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vol. 86
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issue 1
279-286
EN
Recent progress in production and control of the atomic wave-packets calls for re-examination of the most fundamental quantum optical processes. We have examined the evolution of the atomic wave-packet resonantly driven by the monochromatic laser beam and the spontaneous emission from an extended atom. We stress the role of Doppler shifts in the dephasing of the atomic dipole. New effects of single laser pulse photon echo and homogeneous Doppler modification of the emission line are discussed.
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