Auxiliary matrix formalism for interaction representation transformations, optimal control, and spin relaxation theories
نویسندگان
چکیده
منابع مشابه
Auxiliary matrix formalism for interaction representation transformations, optimal control, and spin relaxation theories.
Auxiliary matrix exponential method is used to derive simple and numerically efficient general expressions for the following, historically rather cumbersome, and hard to compute, theoretical methods: (1) average Hamiltonian theory following interaction representation transformations; (2) Bloch-Redfield-Wangsness theory of nuclear and electron relaxation; (3) gradient ascent pulse engineering ve...
متن کاملOptimal control of spin dynamics in the presence of relaxation.
Experiments in coherent spectroscopy correspond to control of quantum mechanical ensembles guiding them from initial to final target states. The control inputs (pulse sequences) that accomplish these transformations should be designed to minimize the effects of relaxation and to optimize the sensitivity of the experiments. For example in nuclear magnetic resonance (NMR) spectroscopy, a question...
متن کاملNONDYNAMICAL ANALYSIS OF SPIN AMPLITUDES IN PION-PROTON ELASTIC SCATTERING IN OPTIMAL FORMALISM AT 6.0 GeV/C
Optimal conditions are used in nondynamical formalism to diagonalize the pionproton reaction matrix as much as possible. Invariance laws are imposed to simplify the relationship between observables and bilinear combination of amplitudes. Transverse amplitudes are determined by using measured polarization parameter in xfp elastic scattering at 6.0 GeVIC
متن کاملJones-matrix Formalism as a Representation of the Lorentz Group
It is shown that the two-by-two Jones-matrix formalism for polarization optics is a six-parameter two-by-two representation of the Lorentz group. The attenuation and phase-shift filters are represented respectively by the threeparameter rotation subgroup and the three-parameter Lorentz group for two spatial and one time dimensions. It is noted that the Lorentz group has another three-parameter ...
متن کاملAnisotropic Mesh Transformations and Optimal Error Control
Recently, research originating in several dierent applications has appeared on un-structured triangular meshes in which the vertex distribution is not locally uniform, i.e. anisotropic unstructured meshes. The techniques used have the common features that the distribution of triangle shapes for the mesh is controlled by specifying a symmetric tensor, and that the anisotropic mesh is the transfo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2015
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.4928978