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- W2073184413 abstract "If E is an eigenvalue of the quantum-mechanical Hamiltonian H= 1/2 Δ+V(r) in N spatial dimensions, then large-N theory, the potential-envelope method, and scale-optimized variational energies all lead to quasiclassical approximations having the same form given by E(α) = minr>0[ 1/2 αr−2+V(r)], where α depends on the quantum numbers and on N. Energy bounds provided by the envelope method allow us to prove that in many cases the large-N results are lower energy estimates. For pure power-law potentials all these energies approach the exact eigenvalue in either of the limits l → ∞ or N → ∞." @default.
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- W2073184413 date "1986-04-01" @default.
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- W2073184413 title "Potential envelopes and the large‐<i>N</i> approximation" @default.
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- W2073184413 doi "https://doi.org/10.1063/1.527143" @default.
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