Please use this identifier to cite or link to this item: http://ir.uz.ac.zw:8080/xmlui/handle/10646/3456
Title: A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension
Authors: Muchatibaya, Gift
Fassari, S.
Rinaldi, F.
Mushanyu, Josiah
giftmuchatibaya@gmail.com
Keywords: Hamiltonian
Gaussian attractive potential
artificial atoms
harmonic oscillator
Issue Date: 7-Feb-2016
Publisher: Hindawi Publishing Corporation
Citation: Muchatibaya, G., Fassari, S., Rinaldi, F., & Mushanyu, J. (2016). A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension. Advances in Mathematical Physics, 2016. DOI: http://dx.doi.org/10.1155/2016/2125769
Abstract: The ground state energy 𝐸 0(𝜆) of 𝐻 𝜆 = − 𝑑 2 /𝑑𝑥 2 − 𝜆 𝑒 −𝑥2 is computed for small values of 𝜆 by means of an approximation of an integral operator in momentum space. Such an approximation leads to a transcendental equation for which 𝜖 0 ( 𝜆 ) = | 𝐸 0 (𝜆)| 1/2 is the root
URI: http://hdl.handle.net/10646/3456
ISSN: 1687-9139
Appears in Collections:Department of Mathematics Staff Publications



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