Using transfer matrix method, the transmission spectra of one-dimensional photonic crystal (AB)m (BACAB)n (BA)m are investigated. The results show that in the case of double positive and negative medium, all the bands of photonic crystal (BACAB)n were situated in the band gaps of photonic crystal (AB)m (BA)m to constitute the structure of photonic quantum well with the symmetric central frequency ω0/ω. The symmetric local resonance transmission peak appears in the transmission spectra of photonic quantum well and shows obvious spectra quantization effects. The numbers and positions of transmission peaks can be adjusted by controlling n, and the structures of transmission spectra of double positive and negative medium are same, but the bandwidth and clearance of the latter is longer. This characteristics can be used to design adjustable multi-channel filters, optical switches and so on.