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Smoothness properties of the quantum-mechanical and WKB phase shifts for two-dimensional scattering

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Fink, Martin Eiglsperger, Johannes Friedrich, Harald Madronero, Javier [UCL]

As a contribution to a current controversial discussion we show that the smoothness properties of the quantum-mechanical and the WKB phase shifts for elastic scattering by a smooth repulsive radially symmetric potential in two spatial dimensions are different.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2009
Language Anglais
Journal information "Physical review. A, Atomic, molecular, and optical physics" - Vol. 80, no. 2 (2009)
Peer reviewed yes
Publisher Amer Physical Soc (College Pk)
issn 1050-2947
e-issn 1094-1622
Publication status Publié
Affiliation UCL
Links
  1. Dullin Holger R., Waalkens Holger, Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy, 10.1103/physrevlett.101.070405
  2. Eiglsperger Johannes, Fink Martin, Friedrich Harald, Madroñero Javier, Comment on “Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy”, 10.1103/physrevlett.102.188901
  3. Dullin Holger R., Waalkens Holger, Dullin and Waalkens Reply:, 10.1103/physrevlett.102.188902
  4. Lapidus I. Richard, Quantum‐mechanical scattering in two dimensions, 10.1119/1.13004
  5. Lapidus I. Richard, Scattering by two‐dimensional circular barrier, hard circle, and delta function ring potentials, 10.1119/1.14585
  6. Berry M V, Mount K E, Semiclassical approximations in wave mechanics, 10.1088/0034-4885/35/1/306
  7. Burgdörfer Joachim, Reinhold Carlos O., Sternberg James, Wang Jianyi, Semiclassical theory of elastic electron-atom scattering, 10.1103/physreva.51.1248
  8. M. Brack, Semiclassical Physics (1997)
  9. Herb Joachim, Meerwald Petra, Moritz Michael J., Friedrich Harald, Quantum-mechanical deflection function, 10.1103/physreva.60.853
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Bibliographic reference Fink, Martin ; Eiglsperger, Johannes ; Friedrich, Harald ; Madronero, Javier. Smoothness properties of the quantum-mechanical and WKB phase shifts for two-dimensional scattering. In: Physical review. A, Atomic, molecular, and optical physics, Vol. 80, no. 2 (2009)
Permanent URL http://hdl.handle.net/2078.1/35329