Bogdanovic, R. ; Whitehead, M. A. ; Gopinathan, M. S.
(1976)
*Factorization of the evolution operator for a spin-orbit coupled system in an external magnetic field for an arbitrary L and S = ½*
Canadian Journal of Physics, 54
(23).
pp. 2295-2305.
ISSN 0008-4204

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Official URL: http://article.pubs.nrc-cnrc.gc.ca/ppv/RPViewDoc?i...

Related URL: http://dx.doi.org/10.1139/p76-275

## Abstract

The evolution operator of the spin-orbit coupled system in an external magnetic field is factorized according to the operator equation: exp it/h ( H_{SO} + H_{Z}) = exp( it/h H_{SO}) exp (it/h H_{Z}) C(t) where H_{SO} is the spin-orbit coupled Hamiltonian and H_{Z} is the Zeeman Hamiltonian. The preceding equation is expressed in matrix form using the theory of the O(4) group representations. For the special case of S = ½, an explicit form of the matrix C(t) is found. The operator corresponding to the matrix C(t) is found in a closed form using the projection operators constructed in the Appendix. Two special cases, corresponding to a weak and a strong external field, are considered, and possible applications of the results obtained are indicated.

Item Type: | Article |
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Source: | Copyright of this article belongs to Canada Institute for Scientific and Technical Information. |

ID Code: | 15347 |

Deposited On: | 13 Nov 2010 09:29 |

Last Modified: | 02 Jun 2011 07:09 |

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