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A Complete Hermitian Operator Basis Set for any Spin Quantum Number

✍ Scribed by Peter Allard; Torleif Härd

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
66 KB
Volume
153
Category
Article
ISSN
1090-7807

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✦ Synopsis

A new Hermitian operator basis set for spins of any quantum number is presented for use in simulations of NMR experiments. The advantage with a Hermitian operator basis is that the Liouvillevon Neumann equation, including relaxation with dynamic frequency shifts, is real. Real algebra makes numerical calculations faster and simplifies physical interpretation of the equation system as compared to complex algebra. The unity operator is included in the Hermitian operator basis, which makes it easy to rewrite the inhomogeneous Liouville-von Neumann equation into a homogeneous form. The unity operator also simplifies physical interpretation of the equation system for coupled spin systems.

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