Beitrag zur Deutung übermikroskopischer Aufnahmen von Faserpräparaten

Ohne Zusammenfassung     

Transient behavior of the strong violet electroluminescence of Ge-implanted SiO2 layers

Si-based light emitters will be a key element of future optoelectronics. One of the most promising approaches is Ge implantation into thin SiO₂ films on crystalline Si. This system exhibits a strong violet electroluminescence with a power efficiency up to 0.5% [18], but the mechanism of electrical excitation is not yet fully understood. In this paper the electrical excitation of the luminescence centers is investigated by means of electrical and electroluminescence transient measurements. It is found that the most probable way to excite luminescence centers is the impact excitation by hot electrons. Whereas the injection is explained by trap-assisted tunneling of electrons from the substrate into the oxide, the electrons will be transported via traps or in the SiO₂ conduction band. Furthermore, the electroluminescence rise and decay time is estimated to be of the order of 100 μs. Received: 26 September 2001 / Published online: 29 November 2001     

Principe d’Incertitude et Positivité des Opérateurs à Trace; Applications aux Opérateurs Densité

We discuss a necessary (but generally not sufficient) condition for a self-adjoint trace-class operator to be positive. This allows us to state a relation between density operators and the notion of symplectic quantum cell introduced in a previous work. We also apply Hardy’s uncertainty principle to Gaussian estimates for the Wigner distribution. This allows us to recover in a very simple way the fact that the Wigner transform of a square integrable function cannot have compact support.

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Résumé. Nous discutons une condition nécessaire (mais non suffisante en général) pour qu’un opérateur à trace auto-adjoint soit positif. Ceci nous permet d’énoncer une relation entre l’opérateur de densité et la notion de cellule quantique symplectique introduite dans un travail précédent. Nous appliquons également le principe d’incertitude de Hardy à l’étude des majorations de la distribution de Wigner par des gaussiennes; ceci nous permet de retrouver très simplement le fait que la transformée de Wigner d’une fonction de carré intégrable ne peut être à support compact.

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Les auteurs de cet article ont été financés par le projet Eucetifa MEXT-CT-2004-517154 de l’Union Européenne.

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Submitted: February 19, 2007. Accepted: October 3, 2007.     

Electromagnetic interactions for the two-body spectator equations

This paper presents a new non-associative algebra which is used to (i) show how the spectator (or Gross) two-body equations and electromagnetic currents can be formally derived from the Bethe-Salpeter equation and currents if both are treated to all orders, (ii) obtain explicit expressions for the Gross two-body electromagnetic currents valid to any order, and (iii) prove that the currents so derived are exactly gauge invariant when truncated consistently to any finite order. In addition to presenting these new results, this work complements and extends previous treatments based largely on the analysis of sums of Feynman diagrams.