Periodic systems in time: double-well potential

Details Periodic systems in time: double-well potential Periodic systems in time: double-well potential

2004-10-04

arxiv.org/abs/nucl-th/0410010v2

Physics

Nuclear Physics

Nuclear Theory

11 pages, no figures. LaTeX 2e, class `elsart' (Elsevier Science) is used. Reference correction

Scientific paper

Time analysis of oscillations of a particle between wells in the one-dimensional double-well potential with infinite high outside walls, based on wave packet use and energy spectrum analysis, is presented. For the double-well potential of the form $x^{2}+1/x^{2}$ in the external regions, an exact analytical solution of the energy spectrum is found (by standard QM approach), an analysis of oscillation periodicity is fulfilled, an approach for exact analitical calculation of the oscillation period is proposed (for the first time for the double-well potential).

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