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Updated: Aug 1, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
The complete homogeneous master equation for a heteronuclear two-spin system in the basis of cartesian product
Allard1, Helgstrand, Hard
1The Royal Institute of Technology, Center for Structural Biochemistry, Novum, Huddinge, S-141 57, Sweden.
Abstract:
The complete homogeneous form of the quantum mechanical master equation for a heteronuclear two-spin system is presented in the basis of Cartesian product operators. The homogeneous master equation is useful since it allows fast, single-step computation of the density operator during pulse sequences, without neglecting relaxation effects. The homogeneous master equation is also a prerequisite for an expansion of the average Hamiltonian theory to include relaxation, thus forming average Liouvillian theory. The coherences of the two-spin system are assumed to be relaxed both by mutual dipole-dipole interaction and by chemical shift anisotropy interaction with the static magnetic field. The cross-correlation between dipole-dipole and chemical shift anisotropy relaxation mechanisms is also considered. To illustrate the applicability of the developed formalism we simulate the overall transfer efficiency of three different inverse detection 1H-15N correlation experiments with parameters corresponding to a large protein. Copyright 1998 Academic Press.
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