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Proceedings Paper

Mixed states: children of quantum mechanics with nonquantal behavior
Author(s): Michael Brieger
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Paper Abstract

The established notion of angular momentum coupling is shown to be incomplete. Using diagonalization most existing theories try to understand the dynamics of angular momentum coupling by concluding form the stationary aspects they cover. Missing the insight into the real dynamics they fail to correctly interpret the most general wave functions that are obtained from superpositions of, e.g., fine-structure eigenfunctions. The here presented new theory emphasizes the importance of nutation as an intrinsic energy bearing degree of freedom in spin-orbit coupling that has been overlooked in the past. The conclusions were made possible by rigorously solving the time-dependent one-electron Schroedinger equation in a reduced Hilbert space with spin- orbit and electric dipole interactions treated simultaneously. The energy expectation values of the resulting nonstationary precession states with nutation are shown to lye in a dynamical energy band limited by the stationary eigenvalues. Thus, this theory comprises the stationary eigenstates as precession states without nutation. As a precession state represents the most general state vector of an individual one-electron atom with spin- orbit interaction the same conclusions hold for mixed states representing statistical ensembles of such atoms.

Paper Details

Date Published: 22 September 1997
PDF: 10 pages
Proc. SPIE 3110, 10th Meeting on Optical Engineering in Israel, (22 September 1997); doi: 10.1117/12.281336
Show Author Affiliations
Michael Brieger, DLR Institut fuer Technische Physik (Germany)

Published in SPIE Proceedings Vol. 3110:
10th Meeting on Optical Engineering in Israel
Itzhak Shladov; Stanley R. Rotman, Editor(s)

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