Regarding Resigning Job Issue

sir i resigned from job on personal grounds from psu by giving 10 days notice and clearly mentioned in resignation that the 10th day will be my last day in the organisation and i am ready to clear all dues as per rules. then i left and joined another govt job, after one year still my resign not accepted in psu and they have not given me any letter regarding my absence, now i want to join my old job in psu again is it possible ? will the one year be counted as unauthorized absence ? or not? please help me.