Comment on “Recurrences without closed orbits”
نویسندگان
چکیده
منابع مشابه
Comment on “Recurrences without closed orbits”
In Ref. [1] Robicheaux and Shaw calculate quantum photoabsorption spectra of atoms in electric fields with nonzero magnetic quantum numbers, m 6= 0 and observe recurrence peaks at short actions in the Fourier transform recurrence spectra. For spectra with magnetic quantum number m = 0 these peaks can be directly interpreted as the recurrences of the “uphill” and “downhill” orbit along the elect...
متن کاملRecurrences without closed orbits
The results of quantum photoabsorption calculations are presented for H, K, and Cs atoms in static electric fields. The recurrence spectra for ^Lz&Þ0 show features at scaled actions an order of magnitude shorter than for any classical closed orbit of this system. Two interesting manifestations are presented, and some of the systematics of the peak strengths are explored. These features suggest ...
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In [18, 20], Pajitnov considers the closed orbit structure of generic gradient flows of circle-valued Morse functions. It turns out that the torsion of a chain homotopy equivalence between the Novikov complex and the completed simplicial chain complex of the universal cover detects the eta function of the flow. This eta function counts the closed orbits and reduces to the logarithm of the zeta ...
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The approach and methods introduced by McGill & Binney and Kaasalainen & Binney (Papers I and III), for the construction of phase-space tori that are approximate invariant tori of a given Hamiltonian, are generalized to include motion`trapped' around general closed orbits. This is accomplished by introducing point transformations that map the connguration space around a closed orbit in the targ...
متن کاملExistence Problems for Ω−closed Orbits
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1999
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.60.1726