A note on the discrete spectrum of Gaussian wells. I: The ground state energy in one dimension

DOI10.1155/2016/2125769zbMath1400.82147OpenAlexW2292583541WikidataQ59122198 ScholiaQ59122198MaRDI QIDQ1796534

Josiah Mushanyu, Fabio Rinaldi, Silvestro Fassari, Gift Muchatibaya

Publication date: 17 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/2125769

zbMATH Keywords

ground state energyGaussian wells

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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Cites Work

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• A note on the eigenvalues of the Hamiltonian of the harmonic oscillator perturbed by the potential \(\lambda x^2/(1+gx^2)\)
• Titchmarsh–Weyl theory and its relations to scattering theory: Spectral densities and cross sections; Theory and applications
• On the interaction of the type λx2/(1+g x2)
• On the asymptotic form of the Titchmarsh-Weylm-coefficient†
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code

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