Matrix representation of the relativistic kinetic energy operator and the spinless Salpeter equation
Journal Article
·
· Bulletin of the American Physical Society
OSTI ID:243666
- Bowling Green State Univ., KY (United States)
In a previous calculation the eigenvalues of the spinless Salpeter equation for the Cornell potential were obtained by the diagonalization of the Hamiltonian matrix operator. The matrix elements of this operator were calculated in a basis of radial functions that consisted of centrifugal barrier factors, associated Laguerre polynomials and a common exponential factor. It was shown that one could find analytic expressions for the matrix elements of p{sup 2}, the square of the momentum operator. Since analytic expressions exist for p{sup 2}, it is clear that they also exists for the square of the relativistic kinetic energy operator. The feasibility of using these analytic results and matrix subroutines from IMSL to find a matrix representative for the relativistic kinetic energy operator is explored. If this approach proves to be feasible, then results for a quark-antiquark system interacting through the Cornell potential will be presented.
- OSTI ID:
- 243666
- Report Number(s):
- CONF-9304297--
- Journal Information:
- Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 2 Vol. 38; ISSN 0003-0503; ISSN BAPSA6
- Country of Publication:
- United States
- Language:
- English
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