id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3515	Saleem, Yahea Hashem; Shubber, Hadeel Ali	The Smoothness of Schrodinger Operator with Electromagnetic Potential	2019	14	.pdf	application/pdf	4670	219	83	Thus Ψ(t, x) satisfies the equation ∂Ψ ∂t = ∑n j=1 1 2 (i∂j + bj(x))2 Ψ(t, x) − V (x)Ψ(t, x) with the initial condition Ψ(t, x) → ϕ(x) in L2(Rn, dx, dV ) as t → 0. We proved in [8] the Feynman-Kac Itô formula of the electromagnetic Schrödinger operator Ψ(t, x) which define as the equation (1) in [8] Ψ(t, x) = ∫ dµtx(ω)exp ( −i ∫ t 0 b(ω(s))dω − i 2 ∫ t 0 divbω(s)ds− ∫ t 0 V (ω(s)ds ) ϕ(ω(t)) converges and is an analytic function of the variable t.	cache/ejpam-3515.pdf	txt/ejpam-3515.txt