TL;DR
This paper introduces a novel approach using C*-algebra theory to decompose the essential spectra of various Schrödinger operators in multiple dimensions.
Contribution
It presents a new method for spectral decomposition leveraging C*-algebra techniques, applicable to both self-adjoint and non-self-adjoint operators.
Findings
Effective spectral decomposition method demonstrated
Applicable to multi-dimensional Schrödinger operators
Advances understanding of essential spectra structure
Abstract
We use C*-algebra theory to provide a new method of decomposing the eseential spectra of self-adjoint and non-self-adjoint Schrodinger operators in one or more space dimensions.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Mathematical Analysis and Transform Methods