Energy levels of an anharmonic oscillator in both weak and strong coupling limit using convergency of Morse-Feshbach non-linear perturbation series

Energy levels of an anharmonic oscillator in both weak and strong coupling limit using convergency of Morse-Feshbach non-linear perturbation series

We make an extensive rigorous study on convergent behaviour of Morse-Feshbach nonlinear perturbation series (MFNPS) to find out energy levels of the anharmonic oscillator (AHO) in both weak and strong coupling limit. We develop a new method of multi step optimal splitting in order to get convergency...

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Veröffentlicht in:arXiv.org 2013-09
Hauptverfasser: Rath, Biswanath, Samal, Pramoda Kumar, Mishra, Radhanath, Sahu, Basudeb
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Sprache:eng
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Anharmonicity
Convergence
Coupling
Dependence
Energy levels
Ground state
Parameter modification
Perturbation
Splitting
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Samal, Pramoda Kumar
Mishra, Radhanath
Sahu, Basudeb
description We make an extensive rigorous study on convergent behaviour of Morse-Feshbach nonlinear perturbation series (MFNPS) to find out energy levels of the anharmonic oscillator (AHO) in both weak and strong coupling limit. We develop a new method of multi step optimal splitting in order to get convergency in MFNPS for ground state of AHO and found that two step optimal splitting is sufficient to provide convergency in MFNPS. Unlike the ground state the optimal splitting parameters for excited states is modified according to their dependency on state in order to achieve convergency in MFNPS.
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subjects Anharmonicity
Convergence
Coupling
Dependence
Energy levels
Ground state
Parameter modification
Perturbation
Splitting
title Energy levels of an anharmonic oscillator in both weak and strong coupling limit using convergency of Morse-Feshbach non-linear perturbation series
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