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infinite loop - looping in mathematica for using the current value as initial state of next value



i have some initial state $psi[x,t]$. I perform some operation on it and store the value in another state $pi1[x,t]$. Now on the next step i have to use $psi1[x,t]$ as initial state and perform the functions again and store in $psi2[x,t]$, Please anybody help me how to use loops for this.




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