## 2D NMR: Density Matrix and Product Operator TreatmentOffers an experimentally-based, clear explanation of the density-matrix and product operator treatments, thus allowing non-experts to work out sequences of varying degrees of complexity. |

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### Contents

The Density Matrix Description of a TwoDimensional | 4 |

The Density Matrix Description of a DoubleQuantum | 31 |

Density Matrix Description of COSY Homonuclear | 45 |

Copyright | |

15 other sections not shown

### Common terms and phrases

2DHETCOR amplitude modulated angle angular momentum components Appendix AX system basis set C[ly calculations carbon magnetization chemical shift complex conjugate complex number contains contour plot cos2 COSY coupled evolution demonstrate density matrix detection diagonal elements DM treatment domain double-quantum coherence example expression factor fast and slow GOSUB Hermitian isl3 l-cosa)x label magnetic quantum magnetization components matrix elements matrix multiplication minor determinant multiplet multiplied noncoupled nonselective pulse notations observable terms obtain peaks phase cycling polarization transfer populations PRINT PRODUCT OPERATOR FORMALISM proton modulated proton pulse pulse affects pulse follows pulse sequences quantum coherences quantum mechanical r.f. pulse relations represent result rotating frame rotation operator rules S[zx S[zy Section shift evolution shown in Figure signal spectra spectrum spin 1/2 nuclei square matrix Subroutine thermal equilibrium transition frequencies transverse magnetization unit matrix vector representation