Variational Principle Techniques and the Propertiesof a Cut-off and Anharmonic Wave Function | Zendy

A. N. Ikot | Zendy; LE Akpabio | Zendy; Kemfon A. Essien | Zendy; Eno E. Ituen | Zendy; I.B. Obot | Zendy

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Variational Principle Techniques and the Propertiesof a Cut-off and Anharmonic Wave Function

Author(s) -

A. N. Ikot,

LE Akpabio,

Kemfon A. Essien,

Eno E. Ituen,

I.B. Obot

Publication year - 2008

Publication title -

journal of chemistry

Language(s) - English

Resource type - Journals

eISSN - 2090-9063

pISSN - 2090-9071

DOI - 10.1155/2009/202791

Subject(s) - anharmonicity , variational method , variational principle , hamiltonian (control theory) , wave function , ground state , physics , classical mechanics , work (physics) , harmonic oscillator , function (biology) , variational integrator , mathematics , quantum mechanics , mathematical optimization , evolutionary biology , biology , voltage , integrator

The variational principles are very useful analytical tool for the study of the ground state energy of any dynamical system. In this work, we have evaluated the method and techniques of variational principle to derive the ground state energy for the harmonic, cut-off and anharmonic oscillators with a ground state wave function for a one-body Hamiltonian in three dimensions.

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