‘Classical’ coherent state generated by curved surface

Analogous coherent states are deduced from classical optical fields on curved surface in this paper. The Gaussian laser beam, as a fundamental mode, cannot be adequately simulated by due to their inherent diffraction flat space. But things will different when it propagates with uniform curvature called the constant (CGCS). By generalizing method of Feynman path integral, an equivalent solution is demonstrated here describe beam propagation. temporal evolution Schrodinger equation analogously translated into spatial transmission derivation, we obtain expression quantized momentum transmitted surface, which proportional square root $K$. In addition, build propagation picture identical squeezed state. We hope research can give new view quantum field