Quanty - documentation:standard_operators:magnetic_dipole
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2026-04-30T14:33:39+00:00Quanty
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https://www.quanty.org/_media/wiki/dokuwiki.svgtext/html2025-11-20T02:29:38+00:00Anonymous (anonymous@undisclosed.example.com)Magnetic dipole operators (T)
https://www.quanty.org/documentation/standard_operators/magnetic_dipole/start?rev=1763605778&do=diff
Magnetic dipole operators (T)
The magnetic dipole operator is defined as:
\begin{equation}
\vec{T} = \vec{S} - 3 \hat{r}\left(\hat{r}\cdot\vec{S}\right).
\end{equation}
They apear in the magnetic sum-rules for core level spectroscopy, where excitations from a core state that is split by spin-orbit coupling to a valence shell lead two two sets of separate peaks due to the core leve spin-orbit coupling. The weighted integrated difference between these two edges is related to $\vec{S}$$\vec{T}$magn…text/html2025-11-20T02:29:38+00:00Anonymous (anonymous@undisclosed.example.com)Tx
https://www.quanty.org/documentation/standard_operators/magnetic_dipole/tx?rev=1763605778&do=diff
Tx
The x component of $\vec{T}$ is defined as:
\begin{equation}
T_x = S_x - 3 x\left(x S_x + y S_y + z S_z\right)/r^2.
\end{equation}
The equivalent operator in Quanty is created by:
OppTx = NewOperator("Tx", NF, IndexUp, IndexDn)
The operator can alternatively be created with the following function:
function Tx(indexup, indexdn, NF)
if #indexup ~= #indexdn then
error("Length of index up must be equal to length of index dn and equal to 2l+1 in Tx")
end
local l=(#indexup-1)/2
if …text/html2025-11-20T02:29:38+00:00Anonymous (anonymous@undisclosed.example.com)Ty
https://www.quanty.org/documentation/standard_operators/magnetic_dipole/ty?rev=1763605778&do=diff
Ty
The y component of $\vec{T}$ is defined as:
\begin{equation}
T_y = S_y - 3 y\left(x S_x + y S_y + z S_z\right)/r^2.
\end{equation}
The equivalent operator in Quanty is created by:
OppTy = NewOperator("Ty", NF, IndexUp, IndexDn)
The operator can alternatively be created with the following function:
function Ty(indexup, indexdn, NF)
if #indexup ~= #indexdn then
error("Length of index up must be equal to length of index dn and equal to 2l+1 in Ty")
end
local l=(#indexup-1)/2
if …text/html2025-11-20T02:29:38+00:00Anonymous (anonymous@undisclosed.example.com)Tz
https://www.quanty.org/documentation/standard_operators/magnetic_dipole/tz?rev=1763605778&do=diff
Tz
The z component of $\vec{T}$ is defined as:
\begin{equation}
T_z = S_z - 3 z\left(x S_x + y S_y + z S_z\right)/r^2.
\end{equation}
The equivalent operator in Quanty is created by:
OppTz = NewOperator("Tz", NF, IndexUp, IndexDn)
The operator can alternatively be created with the following function:
function Tz(indexup, indexdn, NF)
if #indexup ~= #indexdn then
error("Length of index up must be equal to length of index dn and equal to 2l+1 in Tz")
end
local l=(#indexup-1)/2
if …