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

Autor: G. Muchatibaya, S. Fassari, F. Rinaldi, J. Mushanyu
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2016 (2016)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2016/2125769
Popis: 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.
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