By taking advantage of Wang's results on the scalar product of four eigenfunctions of the 1D harmonic oscillator, we explicitly calculate the trace of the Birman-Schwinger operator of the one-dimensional harmonic oscillator perturbed by a Gaussian potential, showing that it can be written as a ratio of Gamma functions.
Exact calculation of the trace of the Birman-Schwinger operator of the one-dimensional harmonic oscillator perturbed by an attractive Gaussian potential
Rinaldi F;
2019-01-01
Abstract
By taking advantage of Wang's results on the scalar product of four eigenfunctions of the 1D harmonic oscillator, we explicitly calculate the trace of the Birman-Schwinger operator of the one-dimensional harmonic oscillator perturbed by a Gaussian potential, showing that it can be written as a ratio of Gamma functions.File in questo prodotto:
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