Mathematical Definition
The most general wave function that satisfies the identity above is the squeezed coherent state (we work in units with )
where are constants (a normalization constant, the center of the wavepacket, its width, and its average momentum). The new feature relative to a coherent state is the free value of the width, which is the reason why the state is called "squeezed".
The squeezed state above is an eigenstate of a linear operator
and the corresponding eigenvalue equals . In this sense, it is a generalization of the ground state as well as the coherent state.
Read more about this topic: Squeezed Coherent State
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