Quantum motion of three trapped ions in one dimension |
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| Authors: | YW Duan L Shi M Feng X Zhu |
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| Institution: | (1) Department of Physics, Hunan Normal University, Hunan, 410081, China, CN;(2) Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan, 430071, China, CN |
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| Abstract: | The hyperspherical-coordinate approach is employed to a one-dimensional model of three ions in a Paul trap. It is shown that
the eigen wave functions have well-defined nodal structure indicating a near separability in the hyperspherical coordinates, then two approximate good quantum numbers
are introduced to classify the eigenstates. Three important classical periodic motions, including the breathing motion and
the (distorted-)symmetric or anti-symmetric stretching motion, are found to dominate the wave function distribution.
Received: 10 February 1999 / Received in final form: 25 March 1999 |
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| Keywords: | PACS 32 80 Pj Optical cooling of atoms trapping - 03 65 Ge Solutions of wave equations: bound states - 42 50 Vk Mechanical effects of light on atoms molecules electrons and ions |
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