Energy delta when 2 particles of coordinates \( (\vec{x}_1, \vec{\mu}_1) \) and \( (\vec{x}_2, \vec{\mu}_2) \) switch their positions. \[ \Delta S_-^\ast(\vec{k}_{1:2}) = \left[ -k_{1:2} (\mu_{1, 3} - \mu_{2, 3}) - i \vec{k}_{1:2} \cdot (\vec{\mu}_{1, 1:2} - \vec{\mu}_{2, 1:2}) \right] \\ \left( e^{-k_{1:2} x_{2, 3}} e^{-i \vec{k}_{1:2} \cdot \vec{x}_{2, 1:2}} - e^{-k_{1:2} x_{1, 3}} e^{-i \vec{k}_{1:2} \cdot \vec{x}_{1, 1:2}} \right) \] \[ \Delta S_+(\vec{k}_{1:2}) = \left[ +k_{1:2} (\mu_{1, 3} - \mu_{2, 3}) + i \vec{k}_{1:2} \cdot (\vec{\mu}_{1, 1:2} - \vec{\mu}_{2, 1:2}) \right] \\ \left( e^{+k_{1:2} x_{2, 3}} e^{+i \vec{k}_{1:2} \cdot \vec{x}_{2, 1:2}} - e^{+k_{1:2} x_{1, 3}} e^{+i \vec{k}_{1:2} \cdot \vec{x}_{1, 1:2}} \right) \] \[ \Delta S_+(\vec{k}_{1:2}) \Delta S_-^\ast(\vec{k}_{1:2}) = \left\{ -[k_{1:2} (\mu_{1, 3} - \mu_{2, 3})]^2 + [\vec{k}_{1:2} \cdot (\vec{\mu}_{1, 1:2} - \vec{\mu}_{2, 1:2})]^2 - \\ 2 i k_{1:2} (\mu_{1, 3} - \mu_{2, 3}) \vec{k}_{1:2} \cdot (\vec{\mu}_{1, 1:2} - \vec{\mu}_{2, 1:2}) \right\} \left( 2 - \\ e^{+k_{1:2} x_{2, 3}} e^{+i \vec{k}_{1:2} \cdot \vec{x}_{2, 1:2}} e^{-k_{1:2} x_{1, 3}} e^{-i \vec{k}_{1:2} \cdot \vec{x}_{1, 1:2}} - \\ e^{+k_{1:2} x_{1, 3}} e^{+i \vec{k}_{1:2} \cdot \vec{x}_{1, 1:2}} e^{-k_{1:2} x_{2, 3}} e^{-i \vec{k}_{1:2} \cdot \vec{x}_{2, 1:2}} \right) \]
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| class(Abstract_DLC_Visitor), | intent(in) | :: | this | |||
| integer, | intent(in) | :: | ij_components(:) | |||
| type(Concrete_Particle), | intent(in) | :: | particles(:) |
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