id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1257	Amore, P.; Fernández, F. M.	Two-particle Harmonic Oscillator in a One-dimensional Box	2010	8	.pdf	application/pdf	3485	207	72	If we assume a linear force between the particles then the Hamiltonian operator reads Ĥ = − h̄2 2 ( 1 m1 ∂2 ∂x21 + 1 m2 ∂2 ∂x22 ) + k 2 (x1 − x2)2 (1) and the boundary conditions are ψ = 0 when xi = ±L/2. = 1 M (m1x1 +m2x2) , M = m1 +m2 (3) 17 Acta Polytechnica Vol. 50 No. 5/2010 respectively, that lead to Ĥ = − h̄2 2 ( 1 M ∂2 ∂X2 + 1 m ∂2 ∂x2 ) + V (x), m = m1m2 M .	cache/ap-1257.pdf	txt/ap-1257.txt