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Proceedings Paper

Features of application of quaternions at the solution of the Bloch equation
Author(s): Anatolii N. Leukhin; Ivan I. Popov
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Paper Abstract

Quaternion algebra is offered as the mathematical formalism of dynamics of interaction of a two-level quantum system with an electromagnetic field. Condition of two-level atom, densities operator, Bloch vector, “gyrating moment” vector are considered as the elements of a one-dimensional vector space of quaternion H1, i.e. are represented as quaternion. Bloch equations in a quaternion formalism are noted. Solution method of the differential quaternion Bloch equation is obtained.

Paper Details

Date Published: 20 April 2004
PDF: 11 pages
Proc. SPIE 5402, International Workshop on Quantum Optics 2003, (20 April 2004); doi: 10.1117/12.562203
Show Author Affiliations
Anatolii N. Leukhin, Mari State Technical Univ. (Russia)
Ivan I. Popov, Mari State Univ. (Russia)

Published in SPIE Proceedings Vol. 5402:
International Workshop on Quantum Optics 2003
Vitaly V. Samartsev, Editor(s)

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