Spiked harmonic quantum toboggans
نویسنده
چکیده
Quantum particle is assumed located in an analytically perturbed harmonic-oscillator potential. Its motion along certain complex, PT −symmetric “toboggan” paths which N−times encircle the branch point in the origin is studied in both the boundstate and scattering regime.
منابع مشابه
Spiked potentials and quantum toboggans
Even if the motion of a quantum (quasi-)particle proceeds along a left–rightsymmetric (PT -symmetric) curved path C = R in complex plane C, the spectrum of bound states may remain physical (i.e., real and bounded below). A generalization is outlined. First, we show how the topologically less trivial (tobogganic) contours C may be allowed to live on several sheets of a Riemann surface. Second, t...
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