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Schrödinger's Man

Luca Viganò, Diego Sempreboni

Published Dec 1, 2018• 0 citations
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Schrödinger's influence in almost every field of science is still felt. He was a man who single-handedly reshaped thinking in cosmology, wave mechanics, statistical mechanics, unified field theories, theoretical chemistry and molecular biology. In this volume, which was prepared in 1987 to celebrate the centenary of Schrödinger's birth, leading figures in all these fields have collaborated to produce this carefully integrated and edited survey of the man and his science. Some of the contributions are biographical in nature, revealing much about the character of the man. Others deal with modern-day theories in different fields of science in which Schrödinger worked and his influence in those areas.

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We solved the Schrödinger equation with a certain approximation to the centrifugal term for an arbitrary angular momentum state with the Eckart Manning Rosen potential. The bound-state energy eigenvalues and the corresponding wave functions have been approximately obtained using the parametric Nikiforov Uvarov method. The solutions of the Schrödinger equation for the Eckart potential, Manning Rosen potential, and Hulthén potential have been obtained using a certain transformation. The concepts of the Shannon entropy and the Fisher information of a system under the Eckart Manning Rosen potential are investigated in detail. The behavior of the screening parameter and the quantum number n for Fisher information and the Shannon entropy are also investigated.

Journal of the Korean Physical Society•Feb 1, 2017•22 citations
Schrödinger's influence in almost every field of science is still felt. He was a man who single-handedly reshaped thinking in cosmology, wave mechanics, statistical mechanics, unified field theories, theoretical chemistry and molecular biology. In this volume, which was prepared in 1987 to celebrate the centenary of Schrödinger's birth, leading figures in all these fields have collaborated to produce this carefully integrated and edited survey of the man and his science. Some of the contributions are biographical in nature, revealing much about the character of the man. Others deal with modern-day theories in different fields of science in which Schrödinger worked and his influence in those areas.
We solved the Schrödinger equation with a certain approximation to the centrifugal term for an arbitrary angular momentum state with the Eckart Manning Rosen potential. The bound-state energy eigenvalues and the corresponding wave functions have been approximately obtained using the parametric Nikiforov Uvarov method. The solutions of the Schrödinger equation for the Eckart potential, Manning Rosen potential, and Hulthén potential have been obtained using a certain transformation. The concepts of the Shannon entropy and the Fisher information of a system under the Eckart Manning Rosen potential are investigated in detail. The behavior of the screening parameter and the quantum number n for Fisher information and the Shannon entropy are also investigated.