# Gutzwiller series cuestion about the sum over orbits

since the sum of the periodic orbit in the Gutzwiller series is DIVERGENT

$$\sum_{p.p.o}A_{p}Cos(S(l(p)/ \hbar+\mu _{p})$$

cna we simply 'truncate' it i mean you take only the first $1000$ periodic orbit to evaluate the energy level density

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