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FIZIKA B 8 (1999) 1, 193-206
 
BOUND STATES BY THE SPINLESS SALPETER EQUATION
WOLFGANG LUCHAa and FRANZ F. SCHÖBERLb
a Institut für Hochenergiephysik, Österreichische
Akademie der Wissenschaften,
Nikolsdorfergasse 18, A-1050 Wien, Austria,
E-mail: v2032dac@vm.univie.ac.at
b Institut für Theoretische Physik, Universität Wien,
Boltzmanngasse 5,
A-1090 Wien, Austria, E-mail: franz.schoeberl@univie.ac.at
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
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