Spiked Helmet or Spiked Electrode?
نویسندگان
چکیده
منابع مشابه
Spiked harmonic quantum toboggans
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.
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A complete variational treatment is provided for a family of spiked-harmonic oscillator Hamiltonians H = − d dx2 + Bx + λ x (B > 0, λ > 0 ), for arbitrary α > 0 . A compact topological proof is presented that the set S = {ψn} of known exact solutions for α = 2 constitutes an orthonormal basis of the Hilbert space L2(0,∞) . Closed-form expressions are derived for the matrix elements of H with re...
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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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ژورنال
عنوان ژورنال: JACC: Case Reports
سال: 2021
ISSN: 2666-0849
DOI: 10.1016/j.jaccas.2021.01.025