A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension

Please use this identifier to cite or link to this item: https://hdl.handle.net/10646/3456

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DC Field	Value	Language
dc.contributor.author	Muchatibaya, Gift	-
dc.contributor.author	Fassari, S.	-
dc.contributor.author	Rinaldi, F.	-
dc.contributor.author	Mushanyu, Josiah	-
dc.date.accessioned	2017-11-30T07:04:12Z	-
dc.date.available	2017-11-30T07:04:12Z	-
dc.date.issued	2016-02-07	-
dc.identifier.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	en_US
dc.identifier.issn	1687-9139	-
dc.identifier.uri	http://hdl.handle.net/10646/3456	-
dc.description.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	en_US
dc.language.iso	en_ZW	en_US
dc.publisher	Hindawi Publishing Corporation	en_US
dc.subject	Hamiltonian	en_US
dc.subject	Gaussian attractive potential	en_US
dc.subject	artificial atoms	en_US
dc.subject	harmonic oscillator	en_US
dc.title	A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension	en_US
dc.type	Article	en_US
dc.contributor.authoremail	giftmuchatibaya@gmail.com	en_US
Appears in Collections:	Department of Mathematics Staff Publications

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