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A Perturbation Theory of Isoelectronic
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A.A.Frost applied approximate wave function arbitrary variation atomic units Bazley and Fox Chem coefficients Continued Fractions DELTA FUNCTION POTENTIAL DELTA POTENTIAL MODEL derived Dipole Eckart overlap eigenfunctions eigenvalue problem electron expectation values first-excited state energy given Gordon's Gram determinant ground state energy Hartree-Fock equation INTERMEDIATE BRACKETING THEOREMS intermediate Hamiltonians intermediate resolvents isoelectronic J.O.Hirschfelder Jennings and Wilson LBwdin linear transformation Lowdin's bracketing theorem lower bound formula lower for Weinhold Math method molecular systems N.W.Bazley and D.W.Fox Natl numbers obtained one-electron operator F orbitals P.O.Lowdin perimetric coordinates Phys positive operator Proc Quantum Ghem quantum mechanical R.G.Gordon radius of convergence respect to arbitrary Schwarz inequality Section solutions space Table VI.2 Temple lower bound thesis three-particle system tonians trial function truncated Hamiltonians unitary matrix University of Manchester University of Wisconsin upper bound upper entry gives VARIATIONAL ERROR BOUNDS W.Byers Brown wavefunction Weinhold overlap Weinhold's Improved