ABSTRACT

The Coherent states (CSs) show the correspondence between quantum oscillators and classical oscillators. It is very useful for understanding what goes on in oscillating systems, including harmonic oscillators as well as many kinds of waves. The properties of CSs for harmonic oscillator-1D were generalized to the anharmonic oscillators potential. Therefore, the Morse oscillator has aroused interest also in the construction of CSs. The properties of different nanostructures differ from those of the corresponding bulk structures. This fact leads to many applications in condensed matter, optoelectronic devices, sensors, electronic and light emitting components. The CSs formalism may play an important role in the quantum information theory, and the use of this representation is not only theoretical, but also some practical relevance by its applications. The fundamental unity of quantum information can be express through the CSs of the one-dimensional quantum oscillator. The transmission channel randomly displaces an input pure CS according to the Gaussian distribution which results in a thermal state.