𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Fourier transform of the semiclassical kernel for quadratic potentials

✍ Scribed by Walter Haeffner; Ulrich Weiss

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
290 KB
Volume
106
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Generalized Fourier Transform for SchrΓΆd
Generalized Fourier Transform for SchrΓΆdinger Operators with Potentials of Order Zero
✍ Shmuel Agmon; Jaime Cruz-Sampedro; Ira Herbst πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 206 KB

We investigate the Schro dinger operator H=&2+V acting in L 2 (R n ), n 2, for potentials V that satisfy : x V(x)=O(|x| &|:| ) as |x| Γ„ . By introducing coordinates on R n closely related to a relevant eikonal equation we obtain an eigenfunction expansion for H at high energies.