The genuine multireference approaches, including multireference coupled-cluster (MRCC) methods of the state-universal and valence-universal type, are based on the generalized Bloch equation. Unlike the Schrödinger equation, the Bloch equation is nonlinear and has multiple solutions. In this study, t
Bloch equations revisited: New analytical solutions for the generalized Bloch equations
✍ Scribed by Madhu, P. K. ;Kumar, Anil
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 338 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1043-7347
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✦ Synopsis
The generalized Bloch equations in the rotating frame are solved in Cartesian space by an approach that is different from the earlier Torrey solutions. The solutions are cast into a compact and convenient matrix notation, which paves the way for a direct physical insight and comprehension of the evolution of various magnetization components. The solutions are expressed as a sum of two terms: One describes the decay of the initial state; the other describes the growth of the steady state. The representative trajectories of each component of the above terms plotted separately describe the complete time evolution of each magnetization component.
📜 SIMILAR VOLUMES
Recently, we proposed an iteration method for solving the eigenvalue w problem of the time-independent Schrodinger equation H. Meißner and E. O. Steinborn, Ž .x Int. J. Quantum Chem. 61, 777 1997 . The eigenfunctions are expanded in terms of a Ž . basis set. The wave-function expansion coefficients
The eigenvalue problem of the time-independent Schrodinger equation is solved as usual by expanding the eigenfunctions in terms of a basis set. However, the wave-function Ž . expansion coefficients WECs , which are certain matrix elements of the wave operator, are determined by an iterative method.
## Abstract In this paper, a literal analytical solution is developed for the abundances differential equations of the helium burning phase in hot massive stars. The abundance for each of the basic elements ^4^__He__,^12^__C__,^16^__O__ and ^20^__Ne__ is obtained as a recurrent power series in time