1. Density matrix calculations using formal language. I: Simulation of NMR pulse sequences
- Author
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J.F. Thomas, F. Boissiere, and J.M. Bernassau
- Subjects
Density matrix ,Sequence ,General Chemical Engineering ,Operator (physics) ,Multiplicative function ,Observable ,Pulse sequence ,Applied Microbiology and Biotechnology ,Pulse (physics) ,symbols.namesake ,Fourier transform ,symbols ,Statistical physics ,Algorithm ,Biotechnology ,Mathematics - Abstract
An application of symbolic language to the study of pulse sequences is presented. Using operator techniques it is possible to compute the evolution of the density operator through a sequence of pulses and delays. The program can handle AX n type systems with n ⩽ 4. As all parameters are formal variables it is possible to study the effect of pulse and / or delay times directly on the observables after Fourier transformation. Since phases themselves are variables, pulse phase programs are easily inferred from the multiplicative factors affecting the resonance lines. Several typical examples are shown.
- Published
- 1986
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