Simple one-dimensional quantum-mechanical model for a particle attached to a surface
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Publication:3061896
DOI10.1088/0143-0807/31/4/025zbMATH Open1206.81036arXiv1003.5014OpenAlexW2078661717WikidataQ99713708 ScholiaQ99713708MaRDI QIDQ3061896
Publication date: 3 January 2011
Published in: (Search for Journal in Brave)
Abstract: We present a simple one-dimensional quantum-mechanical model for a particle attached to a surface. We solve the Schr"odinger equation in terms of Weber functions and discuss the behavior of the eigenvalues and eigenfunctions. We derive the virial theorem and other exact relationships as well as the asymptotic behaviour of the eigenvalues. We calculate the zero-point energy for model parameters corresponding to H adsorbed on Pd(100) and also outline the application of the Rayleigh-Ritz variational method.
Full work available at URL: https://arxiv.org/abs/1003.5014
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