The properties of one-dimensional straight-line superposition states obtained as a continuous generalization of the even and odd coherent states are studied. Superposition states with Hermite-polynomial-Gaussian distribution functions are introduced. These states form a complete orthonormal basis set in the Hilbert space of quantum oscillators. This basis makes it possible to obtain the straight-line coherent-state distribution function for a given state. As an example, the distribution functions for squeezed coherent states are derived.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics