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Density Matrix Formalism and Theory of Relaxation Phenomena.

Jayaseetha Rau

Published Jan 1, 1962• 0 citations
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Nuclear magnetic relaxation phenomena are studied by means of a density operator formalism. Both quantum mechanical and semiclassical forms of a density operator relaxation theory are developed using this formalism. Both forms of the theory are applicable when the spin energy depends explicity on time, and both predict correctly the observed density operator. The relaxation of a system of identical spin-1/2 nuclei is calculated as an example. (T.F.H.)

Reviews of Modern Physics•Apr 1, 1961•249 citations

Solving the line-shape problem with speed-dependent broadening and shifting and with Dicke narrowing. I. Formalism

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In this paper, we present a formalism for the exact calculation of spectral profile of an isolated line undergoing speed-dependent collisional broadening and shifting and Dicke narrowing. It is couched in the language of the density matrix as in the closely related fields of transport phenomena, laser physics, and nonlinear optics. The formalism is ab intio in spirit, permitting the calculation of the line shape starting only from a given interaction potential. The line shape is obtained by solving a transport/relaxation equation for the off-diagonal element of the density matrix, a macroscopic quantity. The collision operator in the transport/relaxation equation, which is determined from the (microscopic) interaction between the active molecule and the perturber, is presumed known.

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Relaxation and generation of hyperfine coherences in an optically pumped heavy-alkali-metal vapor undergoing double-resonance excitation

Juan Antonio Vallés, J. M. Alvarez

An extension of a theory of the relaxation, generation, and detection of Zeeman components in the presence of a weak static magnetic field to experiments where hyperfine coherences are also involved is presented. Our study focuses on the geometrical aspects of the optical-microwave double-resonance experiments without considering the transition-profile related phenomena. We determine the coupled evolution equations of the Zeeman and hyperfine components of the atomic density matrix in the irreducible formalism and calculate the stationary solutions to these equations. \textcopyright{} 1996 The American Physical Society.

Physical Review A•Jul 1, 1996•4 citations
In this paper, we present a formalism for the exact calculation of spectral profile of an isolated line undergoing speed-dependent collisional broadening and shifting and Dicke narrowing. It is couched in the language of the density matrix as in the closely related fields of transport phenomena, laser physics, and nonlinear optics. The formalism is ab intio in spirit, permitting the calculation of the line shape starting only from a given interaction potential. The line shape is obtained by solving a transport/relaxation equation for the off-diagonal element of the density matrix, a macroscopic quantity. The collision operator in the transport/relaxation equation, which is determined from the (microscopic) interaction between the active molecule and the perturber, is presumed known.
An extension of a theory of the relaxation, generation, and detection of Zeeman components in the presence of a weak static magnetic field to experiments where hyperfine coherences are also involved is presented. Our study focuses on the geometrical aspects of the optical-microwave double-resonance experiments without considering the transition-profile related phenomena. We determine the coupled evolution equations of the Zeeman and hyperfine components of the atomic density matrix in the irreducible formalism and calculate the stationary solutions to these equations. \textcopyright{} 1996 The American Physical Society.