Expressions of the transition temperature for various anomalous phases are first derived in the framework of the two‐band model for copper oxides. The effects of the photon field for the model are discussed under the Thomas–Fermi approximation. Possible other mechanisms and other systems for the photo‐induced superconductivity are also examined theoretically. We also point out the possibilities of the photo‐induced superconductivity in a Little model. Possible model systems of the tunable superconductivity by external fields are proposed as an example of dynamic controls of electronic, magnetic, and optical properties of materials. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 75, 549–561, 1999