Abstract
The relaxation of the density matric for an arbitrary spin S under magnetic noise is independent of S under the assumption that the g-factor is S-independent. However, the decrements of polarization moments increase with the multipolarity l as l(l+1). For isotropic noise created by external fields of arbitrary multipolarities the relaxation is also S-independent in the classical limit S{yields}{infinity} under the analogous assumption. In the case of anisotropic noise of the multipolarity higher than unity the relaxation of a pure state is described in the limit S>>l>>1 by the heat equation. Here under the same assumption the relaxation falls off at S{yields}{infinity} as l/S{sup 2}. If no such assumption on the S-dependence of the interaction parameters is made, the relaxarion under magnetic noise and arbitrary isotropic one may depend on S, but this dependence remains smooth in the limit S{yields}{infinity}. 5 refs.
Citation Formats
Khriplovich, I B.
Relaxation of the density matrix for an arbitrary spin in random external fields.
Russian Federation: N. p.,
1992.
Web.
Khriplovich, I B.
Relaxation of the density matrix for an arbitrary spin in random external fields.
Russian Federation.
Khriplovich, I B.
1992.
"Relaxation of the density matrix for an arbitrary spin in random external fields."
Russian Federation.
@misc{etde_10136948,
title = {Relaxation of the density matrix for an arbitrary spin in random external fields}
author = {Khriplovich, I B}
abstractNote = {The relaxation of the density matric for an arbitrary spin S under magnetic noise is independent of S under the assumption that the g-factor is S-independent. However, the decrements of polarization moments increase with the multipolarity l as l(l+1). For isotropic noise created by external fields of arbitrary multipolarities the relaxation is also S-independent in the classical limit S{yields}{infinity} under the analogous assumption. In the case of anisotropic noise of the multipolarity higher than unity the relaxation of a pure state is described in the limit S>>l>>1 by the heat equation. Here under the same assumption the relaxation falls off at S{yields}{infinity} as l/S{sup 2}. If no such assumption on the S-dependence of the interaction parameters is made, the relaxarion under magnetic noise and arbitrary isotropic one may depend on S, but this dependence remains smooth in the limit S{yields}{infinity}. 5 refs.}
place = {Russian Federation}
year = {1992}
month = {Dec}
}
title = {Relaxation of the density matrix for an arbitrary spin in random external fields}
author = {Khriplovich, I B}
abstractNote = {The relaxation of the density matric for an arbitrary spin S under magnetic noise is independent of S under the assumption that the g-factor is S-independent. However, the decrements of polarization moments increase with the multipolarity l as l(l+1). For isotropic noise created by external fields of arbitrary multipolarities the relaxation is also S-independent in the classical limit S{yields}{infinity} under the analogous assumption. In the case of anisotropic noise of the multipolarity higher than unity the relaxation of a pure state is described in the limit S>>l>>1 by the heat equation. Here under the same assumption the relaxation falls off at S{yields}{infinity} as l/S{sup 2}. If no such assumption on the S-dependence of the interaction parameters is made, the relaxarion under magnetic noise and arbitrary isotropic one may depend on S, but this dependence remains smooth in the limit S{yields}{infinity}. 5 refs.}
place = {Russian Federation}
year = {1992}
month = {Dec}
}