Baker-Campbell-Hausdorff expansion in creation-only coupled cluster
Ram\'on Alain Miranda-Quintana
TL;DR
This paper investigates the exponential ansatz composed of creation operators in coupled cluster theory, focusing on the Baker-Campbell-Hausdorff expansion to understand its properties and potential for structure recovery.
Contribution
It introduces a detailed analysis of the Baker-Campbell-Hausdorff expansion for creation-only operators in coupled cluster methods, highlighting conditions for structural similarity to traditional approaches.
Findings
Conditions for structure recovery identified
Properties of exponential ansatz analyzed
Baker-Campbell-Hausdorff expansion applied to creation operators
Abstract
We study the properties of the exponential ansatz formed by strings of creation operators. We discuss the conditions under which we can recover a structure similar to traditional coupled cluster methods. We pay particular attention to the Baker-Campbell-Hausdorff expansion of these operators.
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Taxonomy
TopicsAdvanced Topics in Algebra · Statistical Mechanics and Entropy · Homotopy and Cohomology in Algebraic Topology