观点

Theorem 1.1. Set D=10^ 200 and e_z=(0,0,1) . There is a finite positive integer Z , specified by , for which the Coulomb Hamiltonian H_C=∑_ i=1 ^3 (-12Δ_i -(Z)/(|r_i-(D/Z)e_z|) -(Z)/(|r_i+(D/Z)e_z|)) +∑_ 1≤i<j≤3 1 |r_i-r_j| has a …

Theorem 1.1. Set D=10²⁰⁰ and e_z=(0,0,1) . There is a finite positive integer Z , specified by , for which the Coulomb Hamiltonian H_C=∑_i=1³ (-12Δ_i -Z|r_i-(D/Z)e_z| -Z|r_i+(D/Z)e_z|) +∑_1≤i<j≤3 1 |r_i-r_j| has a normalizable absolute ground state Ψ in the sector S_z=1/2 , normalized by \|Ψ\|₂=1 , but there is no v∈ V and no ground-state ensemble Γ of H_s(v) such that n_Γ=n_Ψ everywhere on^3.