Work

Improved power-series method for confined one-dimensional quantum-mechanical problems

Year: 2016

Type: preprint

Abstract: We propose two improvements to the well-known power series method for confined one-dimensional quantum-mechanical problems. They consist of the addition of a variational step were the energy plays the role of a variational parameter. We compare the rate of convergence of the three methods on an exactly-solvable model. We also outline possible generalizations of the approaches to more complex problems.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1602.07299

Author: Fernández, Francisco M.

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, Centro Científico Tecnológico - La Plata

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2273708463

Cites: 1

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Related to: 20