Spherical tensor operator
WebSpherical tensor operators are used to simplify the relaxation terms of the Redfield equation. A method for treating relaxation is developed using trace-normalized spherical tensor operators. The Redfield equation is recast as a set of coupled linear differential equations for the expectation values of a complete set of spherical tensor operators. A … Web4. dec 2010 · In conculsion, the tensor Tˆ ij Uˆ iVˆ j can be decomposed into spherical tensors of rank 0, 1, and 2. 4 Spherical tensor: definition Notice the numbers of elements …
Spherical tensor operator
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Web12. apr 2024 · The combined indices idx_in_1 and idx_in_2 select the spherical basis functions to be multiplied by the non-zero Clebsch–Gordan coefficients. The third index tensor is used for the summation of terms mapping to the same (l, m) using scatter_add analogous to the atom accumulation in the message passing shown above. Similarly, … Web22. jún 2005 · The NMR signal at the end of a pulse sequence may, therefore, be regarded as a superposition of spherical components, each derived from a different spherical tensor …
WebIn the present paper, buckling problems of constructions with single delamination are examined. Structures were made of unidirectional laminates and functionally graded materials (FGM). Two types of delaminations (closed and opened) were both investigated in experiments both in rectangular plates and axi-symmetric shells. The first part of the work …
WebThe analytical form of these expressions are chosen in such a way that the Hamiltonians transform under rotations like spherical harmonics of rank l. They are therefore referred … WebShort description: Tensor operator generalizes the notion of operators which are scalars and vectors. In pure and applied mathematics, quantum mechanics and computer graphics, a …
Web1 spherical harmonics Y,,(B, d), with m = -1, -1 + 1, ,. , e, is an example of a spherical tensor of integer rank e. However, spherical tensors are more general quantities and can have half …
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