Variational principle techniques and the properties of a cut-off and anharmonic wave function

A. N. Ikot; L. E. Akpabio; K. Essien; E. E. Ituen; I. B. Obot

doi:10.1155/2009/202791

Variational principle techniques and the properties of a cut-off and anharmonic wave function

A. N. Ikot
, L. E. Akpabio
, K. Essien
, E. E. Ituen
, I. B. Obot

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	113-119
Number of pages	7
Journal	E-Journal of Chemistry
Volume	6
Issue number	1
DOIs	https://doi.org/10.1155/2009/202791
State	Published - 2009
Externally published	Yes

Keywords

Anharmonic oscillator
Cut-off harmonic oscillator
Harmonic oscillator
Variational method

ASJC Scopus subject areas

General Chemistry

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10.1155/2009/202791

Cite this

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title = "Variational principle techniques and the properties of a cut-off and anharmonic wave function",

abstract = "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.",

keywords = "Anharmonic oscillator, Cut-off harmonic oscillator, Harmonic oscillator, Variational method",

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AU - Ikot, A. N.

AU - Akpabio, L. E.

AU - Essien, K.

AU - Ituen, E. E.

AU - Obot, I. B.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Anharmonic oscillator

KW - Cut-off harmonic oscillator

KW - Harmonic oscillator

KW - Variational method

UR - https://www.scopus.com/pages/publications/70350241332

U2 - 10.1155/2009/202791

DO - 10.1155/2009/202791

M3 - Article

AN - SCOPUS:70350241332

SN - 0973-4945

VL - 6

SP - 113

EP - 119

JO - E-Journal of Chemistry

JF - E-Journal of Chemistry

IS - 1

ER -

Variational principle techniques and the properties of a cut-off and anharmonic wave function

Abstract

Keywords

ASJC Scopus subject areas

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