What is it about?
Quantum information theory forms the framework for proper understanding of quantum communication & quantum computation. It measures the amount of information present in a system. The information entropy of one of the important exponential type- Eckart potential is studied. The Fourier transform of this system would be interesting in different fields. The information density of the Eckart potential is graphically demonstrated and the Bialynicki-Birula and Mycielski inequality is numerically saturated.
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Why is it important?
Quantum information theory has potential implications for the conceptual foundations of quantum mechanics. It forms a framework for the proper understanding of quantum communication and quantum computation. It measures the amount of information present in a system. The analytical determination of the position and momentum space entropies are quite difficult and have been carried out only for a few quantum mechanical systems.
Perspectives
The evaluation of information entropy of quantum mechanical systems is of a great scientific interest as it provides a deeper insight into the internal structure of the systems. We have investigated the position and momentum space information entropy of Eckart potential. Some interesting features of information density are graphically demonstrated and their properties are analyzed. It is found that total information entropy is reduced for some values of the parameter. It is interesting to approach the BBM bound which otherwise can be reached only by a class of gaussian wave packets. The sum of the information entropies heads towards a saturation value higher than the ground state for increasing values of quantum numbers. For lower information entropy, the wave function will be more concentrated and the accuracy in predicting the localization of the particle will be higher.
Dr. Anil Kumar
JC DAV college, Dasuya
Read the Original
This page is a summary of: Quantum information entropy of Eckart potential, International Journal of Quantum Chemistry, July 2016, Wiley,
DOI: 10.1002/qua.25197.
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