A Nonperturbative Perspective on Inner Product Quantization: Highly Accurate Solutions to the Schr{ö}dinger Equation

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dc.creatorTymczak, C. J.
dc.creatorJaparidze, G. S.
dc.creatorHandy, C. R.
dc.creatorWang, Xiao-Qian
dc.date1997-07-02
dc.date.accessioned2026-07-07T06:14:20Z
dc.date.available2026-07-07T06:14:20Z
dc.descriptionWe devise a new and highly accurate quantization procedure for the inner product representation, both in configuration and momentum space. Utilizing the representation $Ψ(ξ) = \sum_{i}a_i[E]ξ^i R_β(ξ)$, for an appropriate reference function, $R_β(ξ)$, we demonstrate that the (convergent) zeroes of the coefficient functions, $a_i[E] = 0$, approximate the exact bound/resonance state energies with increasing accuracy as $i \to \infty$. The validity of the approach is shown to be based on an extension of the Hill determinant quantization procedure. Our method has been applied, with remarkable success, to various quantum mechanical problems.
dc.descriptionFour Pages REVTEX, Three Postscript figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9707005
dc.identifierhttp://arxiv.org/abs/quant-ph/9707005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93422
dc.subjectQuantum Physics
dc.titleA Nonperturbative Perspective on Inner Product Quantization: Highly Accurate Solutions to the Schr{ö}dinger Equation
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