Berlin 2001 – wissenschaftliches Programm
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Q: Quantenoptik
Q 14: Cooling and Trapping II (joint session A and Q)
Q 14.3: Vortrag
Dienstag, 3. April 2001, 18:00–18:15, H 104
Near-Threshold Quantization and the Semiclassical Limit — •Harald Friedrich, Michael J. Moritz, and Christopher Eltschka — Physik Department, T.U. München, D-85747 Garching
Near-threshold states in atomic and molecular systems are currently a topic of great interest. Semiclassical near-threshold quantization is accurate for attractive tails falling off slower than 1/r2. For a potential well with a tail falling off faster than 1/r2 there is at most a finite number of bound states and the near-threshold quantization rule has the universal form n=A−B√−E+O(E) [1,2]. A potential with a sufficiently strong attractive tail proportional to 1/r2 supports an infinite dipole series of bound states, and the prefactor determining the absolute positions of the energy levels has now been evaluated explicitly for some physically relevant cases [3]. In the light of recent discussion concerning quantum-classical correspondence [4–6] it is interesting to recall, that for a given potential well supporting an infinite dipole series the limit of infinite quantum number does not correspond to the semiclassical limit [3,7].
[1] J. Trost, C. Eltschka, H. Friedrich, Europhys. Lett. 43 (1998) 230.
[2] C. Eltschka, M.J. Moritz, H. Friedrich, J. Phys. B 33 (2000) 4033.
[3] M.J. Moritz, C. Eltschka, H. Friedrich, Phys. Rev. A, to be published.
[4] B. Gao, Phys. Rev. Lett. 83 (1999) 4225.
[5] C. Eltschka, H. Friedrich, M.J. Moritz, Phys. Rev. Lett., to be published.
[6] C. Boisseau, E. Audouard, J.P. Vigué, Phys. Rev. Lett., to be published.
[7] J.P. Varshni, Europhys. Lett. 20 (1992) 295.
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