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

G. Muchatibaya, S. Fassari, F. Rinaldi and J. Mushanyu

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: The ground state energy E0(λ) of Hλ=-d2/dx2-λe-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 ϵ0(λ) = |E0(λ)|1/2 is the root.

Date: 2016
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https://doi.org/10.1155/2016/2125769

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