A recursion technique for deriving renormalized perturbation expansions for one-dimensional anharmonic oscillator

Details A recursion technique for deriving renormalized perturbation expansions for one-dimensional anharmonic oscillator A recursion technique for deriving renormalized perturbation expansions for one-dimensional anharmonic oscillator

2001-08-31

arxiv.org/abs/quant-ph/0108142v1

International Journal of Modern Physics A, Vol. 16, No. 14 (2001) 2493-2504

Physics

Quantum Physics

9 pages, LaTeX

Scientific paper

10.1142/S0217751X0100372X

A new recursion procedure for deriving renormalized perturbation expansions for the one-dimensional anharmonic oscillator is offered. Based upon the $\hbar$-expansions and suitable quantization conditions, the recursion formulae obtained have the same simple form both for ground and excited states and can be easily applied to any renormalization scheme. As an example, the renormalized expansions for the sextic anharmonic oscillator are considered.

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