Abstract
We propose a new method for solving the spinless Salpeter equation. Choosing a special set of orthonormal basis functions we are able to calculate analytically the integral over the corresponding kernel as well as the matrix elements of a class of potentials. In this way the problem can be reduced to the solution of a simple matrix eigenvalue problem with explicitly known matrices, which can be solved very fast numerically. The method is demonstrated in detail for S waves using a typical interquark potential as example. (Authors).
Lucha, W;
[1]
Rupprecht, H;
Schoeberl, F F
[2]
- Oesterreichische Akademie der Wissenschaften, Vienna (Austria). Inst. fuer Hochenergiephysik
- Vienna Univ. (Austria). Inst. fuer Theoretische Physik
Citation Formats
Lucha, W, Rupprecht, H, and Schoeberl, F F.
The spinless salpeter equation as a simple matrix eigenvalue problem.
Austria: N. p.,
1991.
Web.
Lucha, W, Rupprecht, H, & Schoeberl, F F.
The spinless salpeter equation as a simple matrix eigenvalue problem.
Austria.
Lucha, W, Rupprecht, H, and Schoeberl, F F.
1991.
"The spinless salpeter equation as a simple matrix eigenvalue problem."
Austria.
@misc{etde_10120725,
title = {The spinless salpeter equation as a simple matrix eigenvalue problem}
author = {Lucha, W, Rupprecht, H, and Schoeberl, F F}
abstractNote = {We propose a new method for solving the spinless Salpeter equation. Choosing a special set of orthonormal basis functions we are able to calculate analytically the integral over the corresponding kernel as well as the matrix elements of a class of potentials. In this way the problem can be reduced to the solution of a simple matrix eigenvalue problem with explicitly known matrices, which can be solved very fast numerically. The method is demonstrated in detail for S waves using a typical interquark potential as example. (Authors).}
place = {Austria}
year = {1991}
month = {Aug}
}
title = {The spinless salpeter equation as a simple matrix eigenvalue problem}
author = {Lucha, W, Rupprecht, H, and Schoeberl, F F}
abstractNote = {We propose a new method for solving the spinless Salpeter equation. Choosing a special set of orthonormal basis functions we are able to calculate analytically the integral over the corresponding kernel as well as the matrix elements of a class of potentials. In this way the problem can be reduced to the solution of a simple matrix eigenvalue problem with explicitly known matrices, which can be solved very fast numerically. The method is demonstrated in detail for S waves using a typical interquark potential as example. (Authors).}
place = {Austria}
year = {1991}
month = {Aug}
}