Dalgarno-Lewis Method Revisited
A.B. Balantekin (Wisconsin U., Madison), A. Malkus (Wisconsin U.,, Madison)
TL;DR
This paper revisits the Dalgarno-Lewis method, providing an alternative derivation and demonstrating its effectiveness for algebraic Hamiltonians, specifically applied to deep three-dimensional potentials with positive parity.
Contribution
It offers a new derivation of the Dalgarno-Lewis method and shows its applicability to algebraic Hamiltonians in complex potential systems.
Findings
Alternative derivation of the Dalgarno-Lewis method
Application to deep three-dimensional potentials with positive parity
Demonstrates the method's effectiveness for algebraic Hamiltonians
Abstract
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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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Advanced Physical and Chemical Molecular Interactions