Non-Hydrogenic Rydberg Atoms in Magnetic Fields
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概要
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The classical and quantal dynamics of non-hydrogenic Rydberg atoms in magnetic fields are investigated. Previous attempts to infer classical behaviour from quantum properties produced conflicting results: at low scaled energies (ε=-0.5) the nearest-neighbour statistics (NNS) were found to be at the chaotic (Wigner) limit while quantum phase-space distributions suggested a high degree of regularity. Here the classical limit is investigated directly by solving the equations of motion of the Diamagnetic Kepler problem (DKP) with an additional non-Coulombic model potential. It is found that typically trajectories are, over a long time-scale, ergodic. However over a shorter time-scale-in between collisions with the core-classical trajectories remain confined on the tori of the DKP. The origin of a well-known resonance in the NNS of hydrogen at ε=-0.316 is clarified by the comparison with the non-hydrogenic behaviour. However, the classical model only partially explains the quantum behaviour. The difficulties of quantizing such a system are discussed.
- 理論物理学刊行会の論文
- 1994-08-12
著者
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Schweizer W.
Lehrstuhl Fur Theoretische Astrophysik University Tubingen
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DANDO P.
Department of Mathematics, Royal Holloway, University of London
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MONTEIRO T.
Department of Mathematics, Royal Holloway, University of London
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JANS W.
Lehrstuhl fur Theoretische Astrophysik, University Tubingen
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Jans W.
Lehrstuhl Fur Theoretische Astrophysik University Tubingen
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Dando P.
Department Of Mathematics Royal Holloway University Of London
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Monteiro T.
Department Of Mathematics Royal Holloway University Of London
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Dando P.A.
Department of Mathematics, Royal Holloway, University of London
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SCHWEIZER W.
Lehrstuhl fur Theoretische Astrophysik, University Tubingen
関連論文
- Non-Hydrogenic Rydberg Atoms in Magnetic Fields
- Quantum Chaos with Spin-Chains in Pulsed Magnetic Fields(Quantum Mechanics and Chaos)