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Energy-level calculation through perturbation theory

Biswanath Rath

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Abstract

A method for analytical calculation of energy levels using perturbation theory is developed. Convergence of the perturbation theory directly follows from the method itself. An example of this method is given for the anharmonic oscillator.

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What this paper is about

A method for analytical calculation of energy levels using perturbation theory is developed. Convergence of the perturbation theory directly follows from the method itself. An example of this method is given for the anharmonic oscillator.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A method for analytical calculation of energy levels using perturbation theory is developed. Convergence of the perturbation theory directly follows from the method itself. An example of this method is given for the anharmonic oscillator.

Key concepts: Physics, Anharmonicity, Poincaré–Lindstedt method, Perturbation theory (quantum mechanics), Perturbation (astronomy), Møller–Plesset perturbation theory, Transition of state, Statistical physics

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