𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the divergence of ternary scattering operator in two dimensions

✍ Scribed by J. Stecki

Publisher
Elsevier Science
Year
1965
Weight
125 KB
Volume
19
Category
Article
ISSN
0031-9163

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Positive Solutions of Critical Schröd
On Positive Solutions of Critical Schrödinger Operators in Two Dimensions
✍ F. Gesztesy; Z. Zhao 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 696 KB

Using a probabilistic approach based on the Feynman-Kac formalism and the spectral radius of the shuttle operator, we prove that two-dimensional Schrödinger operators \(H=-\Delta+V\) with short-range potentials \(V\) satisfying \(V(x)=\left.\right|_{\mid x \rightarrow \infty} 0\left(|x|^{-2}(\ln (|x

On the Asymptotics of Quantizers in Two
On the Asymptotics of Quantizers in Two Dimensions
✍ Yingcai Su 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 321 KB

When the mean square distortion measure is used, asymptotically optimal quantizers of uniform bivariate random vectors correspond to the centers of regular hexagons (Newman, 1982), and if the random vector is non-uniform, asymptotically optimal quantizers are the centers of piecewise regular hexagon

The bound state of weakly coupled Schröd
The bound state of weakly coupled Schrödinger operators in one and two dimensions
✍ Barry Simon 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 443 KB

We study the unique bound state which (-d2/dx2) + hV and -A + XV (in two dimensions) have when A is small and V is suitable. Our main results give necessary and sufficient conditions for there to be a bound state when h is small and we prove analyticity (resp. nonanalyticity) of the energy eigenvalu

Non-compactness of the solution operator
Non-compactness of the solution operator to on the Fock-space in several dimensions
✍ Georg Schneider 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB 👁 1 views

## Abstract We consider the canonical solution operator to $ \bar \partial $ restricted to (0, 1)‐forms with coefficients in the generalized Fock‐spaces equation image We will show that the canonical solution operator restricted to (0, 1)‐forms with $ {\cal F}{m} $‐coefficients can be interpreted

Oscillators in one and two dimensions an
Oscillators in one and two dimensions and ladder operators for the Morse and Coulomb problems
✍ H. N. Núñez-Yépez; J. L. López-Bonilla; D. Navarrete; A. L. Salas-Brito 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB 👁 2 views

We exhibit that the radial eigenfunctions of a 2D-harmonic oscillator 2DHO may be Ž . regarded as 1D-harmonic oscillator 1DHO matrix elements. From this simple fact and using as a starting point the ladder operators a " for 1DHO, we obtain ladder operators for 2DHO. Furthermore, by using the relatio