FIZIKA B 8 (1999) 1, 193-206

BOUND STATES BY THE SPINLESS SALPETER EQUATION

WOLFGANG LUCHA^a and FRANZ F. SCHÖBERL^b

^a Institut für Hochenergiephysik, Österreichische Akademie der Wissenschaften,
Nikolsdorfergasse 18, A-1050 Wien, Austria,
E-mail: [email protected]

^b Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5,
A-1090 Wien, Austria, E-mail: [email protected]

Received 8 January 1999; Accepted 7 June 1999

In quantum theory, bound states are described by eigenvalue equations, which usually cannot be solved exactly. However, some simple general theorems allow to derive rigorous statements about the corresponding solutions, that is, energy levels and wave functions. These theorems are applied to the prototype of all relativistic wave equations, the spinless Salpeter equation.

PACS numbers: 11.10.St, 03.65.Pm, 03.65.Ge, 12.39.Ki
UDC 530.145

Keywords: spinless Salpeter equation, bound states, energy levels and wave functions

Copyright by The Croatian Physical Society
For problems or questions please contact [email protected]