- Tytuł:
- Green Function on a Quantum Disk for the Helmholtz Problem
- Autorzy:
-
Benali, B.
Boudjedaa, B.
Meftah, M. - Powiązania:
- https://bibliotekanauki.pl/articles/1399173.pdf
- Data publikacji:
- 2013-10
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
03.75.Lm
03.65.Db
02.30.Gp
02.30.Sa - Opis:
- In this work, we present a new result which concerns the derivation of the Green function relative to the time-independent Schrödinger equation in two-dimensional space. The system considered in this work is a quantal particle that moves in an axi-symmetric potential. At first, we have assumed that the potential V(r) to be equal to a constant $V_0$ inside a disk (radius a) and to be equal to zero outside the disk. We have used, to derive the Green function, the continuity of the solution and of its first derivative, at r=a (at the edge). Secondly, we have assumed that the potential V(r) is equal to zero inside the disk and is equal to $V_0$ outside the disk (the inverted potential). Here, also we have used the continuity of the solution and its derivative to obtain the associate Green function showing the discrete spectra of the Hamiltonian.
- Źródło:
-
Acta Physica Polonica A; 2013, 124, 4; 636-640
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł