id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-7273	Dittrich, Jaroslav	Measurement of a quantum particle position at two distant locations: a model	2022	6	.pdf	application/pdf	3528	274	67	In the matrix notation C(t, r) = ( c00(t, r) c01(t, r) c10(t, r) c11(t, r) ) , E = ( E0 0 0 E1 ) , (11) F (r) = ( f00(r +R) f01(r +R) f10(r +R) f11(r +R) ) , (12) G(r) Denoting r ∈ R the coordinate of the measured light particle (mass m), x ∈ R the coordinate of the heavy particle in the left detector (mass M) and y ∈ R that in the right detector (mass M), the free Hamiltonian (without an interaction of the measured particle and detectors) reads H0 = − ℏ2 2m∂2 r − ℏ2 2M ∂2 x + V (x+R) − ℏ2 2M ∂2 y + V (y −R) , (2) understood as a self-adjoint operator in the state space L2(R3) with the domain H2(R3).	cache/ap-7273.pdf	txt/ap-7273.txt