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Atoms in parallel fields: analysis with diffractive periodic orbits

Owen1, Monteiro, Dando

  • 1Department of Physics and Astronomy, University College London, Gower Street, London, WC1E 6BT, United Kingdom.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
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Quantum atomic systems are influenced by diffractive periodic orbits, not just geometric ones. Hybrid orbits combining geometric and diffractive scattering improve semiclassical models for atomic density of states.

Area of Science:

  • Atomic Physics
  • Quantum Mechanics
  • Spectroscopy

Background:

  • Fluctuations in the density of states of nonhydrogenic atoms in parallel fields are complex.
  • Traditional models often focus on geometric scattering, neglecting diffractive effects.

Purpose of the Study:

  • To investigate the influence of diffractive periodic orbits on atomic density of states.
  • To develop a more accurate semiclassical model by incorporating diffractive scattering.

Main Methods:

  • Analysis of Gutzwiller (geometric) periodic orbits and their paired diffractive orbits.
  • Investigation of orbit repetitions and multiple scattering contributions.
  • Comparison of semiclassical models with fully quantal calculations.

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Main Results:

  • Atomic cores act as combined geometric and diffractive scatterers.
  • Hybrid orbits, merging geometric and diffractive scattering, accurately describe periodic orbit repetitions.
  • Diffractive contributions become significant at high repetitions, comparable to geometric orbits.

Conclusions:

  • A semiclassical model incorporating both geometric and diffractive scattering achieves excellent agreement with quantal calculations.
  • Diffractive effects are crucial for understanding atomic density of states, even in the limit of vanishing Planck's constant.
  • The study highlights the importance of diffractive orbits in atomic physics.