We show how a special class of Schrodinger macroscopic quantum-superpo
sition states can be produced by a coherent field propagating through
a Kerr medium. We show that these states are eigenstates of the mth po
wer of the photon-annihilation operator leading also to the possibilit
y of producing these using multiphoton Jaynes-Cummings systems. We fur
ther show how superpositions of squeezed coherent states can be produc
ed.