讨论了ｑ形变玻色算符的广义逆算符作用于ｑ－相干态所得到的两类量子态的数学及量子统计性质。结果表明，ｑ－相干态的光子激发态不存在压缩但呈现反聚束效应，而ｑ－相干态的光子湮灭态却存在压缩但不呈现反聚束效应。 The mathematical and quantum statistical properties of two kinds of quantum states obtained by applying the generalized inverse operators of q-deformed bosonal operators to q-coherent states are discussed. The results show that the photon excited state of q-coherent state does not exist compression but exhibits an anti-bunching effect, while the photon annihilation state of q-coherent state exists compression but does not exhibit anti-bunching effect.