2000European Journal of PhysicsRequires access

Non-perturbative energy expressions for the generalized anharmonic oscillator

L. K. Sharma, J. O. Fiase

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Abstract

A general expression for the energy eigenvalues of an anharmonic oscillator characterized by the potential ½( m 2 x 2 )+ x 2 ( > 0) has been derived non-perturbatively. For quartic ( = 2), sextic ( = 3) and octic ( = 4) anharmonic oscillators, over a wide range of n and , these energy values agree well with the numerical values calculated by earlier workers.

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A general expression for the energy eigenvalues of an anharmonic oscillator characterized by the potential ½( m 2 x 2 )+ x 2 ( > 0) has been derived non-perturbatively. For quartic ( = 2), sextic ( = 3) and octic ( = 4) anharmonic oscillators, over a wide range of n and , these energy values agree well with the numerical values calculated by earlier workers.

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Available abstract

A general expression for the energy eigenvalues of an anharmonic oscillator characterized by the potential ½( m 2 x 2 )+ x 2 ( > 0) has been derived non-perturbatively. For quartic ( = 2), sextic ( = 3) and octic ( = 4) anharmonic oscillators, over a wide range of n and , these energy values agree well with the numerical values calculated by earlier workers.

Key concepts: Anharmonicity, Physics, Quartic function, Eigenvalues and eigenvectors, Range (aeronautics), Energy (signal processing), Quantum mechanics, Quantum electrodynamics

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