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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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:2125769
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