Rauh, Alexander (2017) Quantum mechanics of rectilinear orbits of the Coulomb-Kepler problem. Advanced studies in theoretical physics, 11 (8). pp. 365-386. ISSN 1313-1311

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Abstract

Based on coherent states of the reversed harmonic oscillator, a wave function is proposed with the following three properties: (1) The mean values of position, r0, and velocity, v0, are parallel to the x axis; (2) The wave function is extended by a curve parameter w ≥ 0 such that, as a function of w, the mean values rw and vw describe a rectilinear orbit along the x axis with the mean initial values r0 and v0; (3) The mean energy is constant with respect to w by the leading order of the perturbation parameter ∈. For comparison, the classical one-dimensional equation of motion is integrated. Exact analytical equivalence between classical and the ∈ = 0 quantum limit is found, both for positive and negative mean energy. The curve parameter w is in 1-1 correspondence with time t ≥ 0.

Item Type:	Article
Additional Information:	Publiziert mit Hilfe des DFG-geförderten Open Access-Publikationsfonds der Carl von Ossietzky Universität Oldenburg.
Uncontrolled Keywords:	Coherent states, Rutherford backscattering, Kustaanheimo- Stiefel transformation
Subjects:	Science and mathematics > Physics
Divisions:	Faculty of Mathematics and Science > Institute of Physics (IfP)
Date Deposited:	28 Sep 2017 10:27
Last Modified:	10 Nov 2017 10:37
URI:	https://oops.uni-oldenburg.de/id/eprint/3346
URN:	urn:nbn:de:gbv:715-oops-34271
DOI:	10.12988/astp.2017.7520
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