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Units · Changes

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Update Units authored Feb 19, 2026 by Gabriel Wlazłowski's avatar Gabriel Wlazłowski
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Units.md
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...@@ -11,18 +11,18 @@ The lattice spacing is defined through [predefines.h](https://gitlab.fizyka.pw.e ...@@ -11,18 +11,18 @@ The lattice spacing is defined through [predefines.h](https://gitlab.fizyka.pw.e
```c ```c
#define DX 1.0 #define DX 1.0
``` ```
It is *recommended* to work with lattice spacing `DX=1`, however, the code allows to use of other values, in order to support the functionality of [automatic interpolations](Automatic interpolations). Through the lattice spacing, the standard of the code length unit is defined. It is *recommended* to work with lattice spacing `DX=1`; however, the code allows the use of other values, in order to support the functionality of [automatic interpolations](Automatic-interpolations). Through the lattice spacing, the standard of the code length unit is defined.
# Dimensionless units # Dimensionless units
When reporting values, it is convenient to use dimensionless units. See here for the [definition of reference scales](Reference scales). When reporting values, it is convenient to use dimensionless units. See here for the [definition of reference scales](Reference-scales).
| quantity | dimensionless units | interpretation | | quantity | dimensionless units | interpretation |
|------- |------ |------- | |------- |------ |------- |
| energy | $`E/E_{\textrm{ffg}}`$| In literature it is called (generalized) _Bertsch parameter_ $`\xi`$.| | energy | $`E/E_{\textrm{ffg}}`$| In literature it is called (generalized) _Bertsch parameter_ $`\xi`$.|
| distance| $`xk_F`$ | Fermi momentum $`k_F`$ defines the average distance between particles. Thus $`xk_F=1`$ means a distance of the order of interparticle distance.| | distance| $`xk_F`$ | Fermi momentum $`k_F`$ defines the average distance between particles. Thus $`xk_F=1`$ means a distance of the order of interparticle distance.|
| time | $`t\varepsilon_F`$|In time interval $`t\varepsilon_F=1`$ particles at Fermi level pass distance of the order of average interparticle distance. In literature this time scale is also called _interaction time scale_, meaning typical time scale for scattering events. | | time | $`t\varepsilon_F`$|In the time interval $`t\varepsilon_F=1`$, particles at the Fermi level pass a distance of the order of the average interparticle distance. In the literature, this time scale is also called the _interaction time scale_, referring to the typical time scale for scattering events. |
# Converting to SI units # Converting to SI units
To compare with experimental data typically one needs to convert results to SI units. In order to do this, one needs to provide SI standards for mass, length, and time. To compare with experimental data, typically one needs to convert results to SI units. To do this, one needs to provide SI units for mass, length, and time.
|standard | standard type| SI | code | |standard | standard type| SI | code |
| -------| ---- | ----- | -----| | -------| ---- | ----- | -----|
|mass | explicit: mass of particle | $`m\,\left[\textrm{kg}\right]`$ | 1 | |mass | explicit: mass of particle | $`m\,\left[\textrm{kg}\right]`$ | 1 |
...@@ -31,7 +31,7 @@ To compare with experimental data typically one needs to convert results to SI u ...@@ -31,7 +31,7 @@ To compare with experimental data typically one needs to convert results to SI u
(*) The lattice spacing defines how the distance between two lattice points relates to the unit of length in which the code operates. If `DX=1` then the lattice spacing itself serves as the standard for the code unit length. (*) The lattice spacing defines how the distance between two lattice points relates to the unit of length in which the code operates. If `DX=1` then the lattice spacing itself serves as the standard for the code unit length.
Below we provide conversion factors: Below, we provide conversion factors:
|quantity| symbol | code value | SI value | |quantity| symbol | code value | SI value |
| ---- | ---- | ----|-----| | ---- | ---- | ----|-----|
......
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Content of Documentation
Official webpage
W-BSK Toolkit