3 papers
physics.chem-ph2026
Symmetry of Spin Systems as Automorphisms of Undirected Weighted Graphs: Realizability Criterion and Complete Taxonomy up to 14 Spins
Dmitry A. Cheshkov, Dmitry O. Sinitsyn, Artemiy I. Nichugovskiy
Exact simulation of high-resolution NMR spectra requires block diagonalization of the spin Hamiltonian, whose dimension grows exponentially with the number of spins ; symmetry i…
physics.chem-ph2026
On the Connection of High-Resolution NMR Spectrum Mirror Symmetry With Spin System Properties
Dmitry A. Cheshkov, Dmitry O. Sinitsyn
A correlation between the symmetry of NMR spectra, including higher-order spectra, and the properties of the spin system has been established. It is shown that for a spectrum to be…
physics.chem-ph2026
Mirror Symmetry of the NMR Spectrum and the Connection with the Structure of Spin Hamiltonian Matrix Representations
Dmitry A. Cheshkov, Dmitry O. Sinitsyn
This work provides a comprehensive theoretical framework for understanding the symmetry properties of High-Resolution NMR spectra. We analyze the conditions under which a spectrum…