Bhaduri, Rajat K. and Brack, Matthias and Murthy, M. V. N. (2011) Semiclassical analysis of the Efimov energy spectrum in the unitary limit. PHYSICAL REVIEW A, 83 (6): 063612. ISSN 1050-2947, 1094-1622
Full text not available from this repository.Abstract
We demonstrate that the (s-wave) geometric spectrum of the Efimov energy levels in the unitary limit is generated by the radial motion of a primitive periodic orbit (and its harmonics) of the corresponding classical system. The action of the primitive orbit depends logarithmically on the energy. It is shown to be consistent with an inverse-squared radial potential with a lower cutoff radius. The lowest-order WKB quantization, including the Langer correction, is shown to reproduce the geometric scaling of the energy spectrum. The (WKB) mean-squared radii of the Efimov states scale geometrically like the inverse of their energies. The WKB wave functions, regularized near the classical turning point by Langer's generalized connection formula, are practically indistinguishable from the exact wave functions even for the lowest (n = 0) state, apart from a tiny shift of its zeros that remains constant for large n.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM-MECHANICS; WAVE-EQUATION; BOUND-STATES; UNIVERSALITY; ORBITS; SYSTEM; ATOMS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Jun 2020 09:05 |
| Last Modified: | 09 Jun 2020 09:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20663 |
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