Pauli operators and the d-bar-Neumann problem
Friedrich Haslinger
TL;DR
This paper explores the spectral properties of Pauli operators using complex analysis techniques, specifically the d-bar-Neumann operator, to provide new insights into their mathematical structure.
Contribution
It introduces a novel application of the d-bar-Neumann method to analyze Pauli operators, bridging complex analysis and quantum mechanics.
Findings
Spectral properties of Pauli operators characterized
New connections between complex analysis and quantum operators
Potential implications for quantum physics and mathematical analysis
Abstract
We apply methods from complex analysis, in particular the d-bar-Neumann operator, to investigate spectral properties of Pauli operators.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods