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arxiv: 1012.4783 · v1 · pith:MNK4NDZ5new · submitted 2010-12-21 · 🧮 math-ph · math.MP· nucl-th· quant-ph

Dalgarno-Lewis Method Revisited

classification 🧮 math-ph math.MPnucl-thquant-ph
keywords methoddalgarno-lewisstatesalgebraicalternativeappliedclassconnects
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Proving the existence of an operator that connects non-perturbed states to perturbed states, an alternative derivation of the Dalgarno-Lewis method is given. To illustrate that the Dalgarno-Lewis method is an apt tool for algebraic Hamiltonians, the method is applied to one class of such systems, namely deep three-dimensional potentials with positive parity.

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