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A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension
(Hindawi Publishing Corporation, 2016-02-07)
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 ...