id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-4603	Fassari, Silvestro; Gadella, Manuel; Nieto, Luis Miguel; Rinaldi, Fabio	ON THE SPECTRUM OF THE ONE-DIMENSIONAL SCHRÖDINGER HAMILTONIAN PERTURBED BY AN ATTRACTIVE GAUSSIAN POTENTIAL	2017	6	.pdf	application/pdf	3139	128	61	It is worth pointing out that the latter quantity is nothing else but the limit, as ε→ 0+ of the trace class norm of Baε , since ‖Baε ‖1 = 1√ 2π ∫ +∞ −∞ e−p 2 sinh p2 p2 + ε2 dp = √ π 23ε2 ( 1− e2ε2 erfc( √ 2ε) ) , (20) which ensures the convergence in the norm topology of trace class operators, as a consequence of a well-known theorem on operators belonging not only to the trace class T1 but to any ideal Tp (see [11]). Keywords: Schrödinger equation; Gaussian potential; Birman-Schwinger method; trace class operators; Fredholm determinant.	cache/ap-4603.pdf	txt/ap-4603.txt