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9 Nov 2009: One might imagine that thiswould be a trivial extension of the H2 ion, but in fact several new featuresarise when we consider this simple molecule. ... σ2u! ". Molecular potential energy andconfiguration mixing in H2. We have introduced to the left of

9 Nov 2009: Rewriting expression for 〈Ĥ1〉 in new basis |n, j = # 1/2, mj , #〉,. 〈Ĥ1〉n,j=!1/2,mj ,! = 1. 2mc2. (Z α. n. )4n. {1j j = # 1/21.

9 Nov 2009: Then, if we rewrite the expression for 〈Ĥ1〉 (9.2) in the new basis,. ... 2. With these potentials, Ui(r), we can determine a new set of eigenstatesfor the set of Schrödinger equations,. [!

28 Oct 2009: As soon as perturbation is introduced, eigenstates lie in direction ofthe new elliptic axes – switch not proportional to α. ... degenerate states in the original basis. The new states |n(0)α 〉 =. i ciα|n(0)i 〉, defined by the eigenstates ciα.

2 Nov 2009: Rewriting expression for 〈Ĥ1〉 in new basis |n, j = & 1/2, mj , &〉,. 〈Ĥ1〉n,j=!1/2,mj ,! = 1. 2mc2. (Z α. n. )4n. {1j j = & 1/21. ... Z1)e2r as r. Solution for this potential provides. platform to seed self-consistent potentials, Ui (r ). 2