HOW TO SCALE THE WAVE-FUNCTIONS IN A SIMPLE SOLVABLE MODEL

The scaling properties of the exact wave functions in the two-level pa iring model are studied and a well-defined limit, when the number of p airs goes to infinity, is found. An approximate method for obtaining t he scaled wave functions is discussed. Well-known methods for relating finite-difference equations with differential ones are used, together with a semiclassical expansion. The approximate results obtained agre e well with the exact ones. A comparison with the time-dependent Hartr ee-Fock approach is also done.