Sign of the spatial part of the J.J interaction

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Thread starter gernos
Start date Dec 1, 2023
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Electrostatic energy Electrostatic interaction

Dec 1, 2023

gernos

TL;DR Summary: Is the ##A_\mu J^\mu## interaction energy between two separated identical current densities positive (repulsive) or negative (attractive) ?

I think it is negative because of the ##g_{\mu \nu}## metric tensor, but I am not sure.

Last edited by a moderator: Dec 1, 2023

Related to Sign of the spatial part of the J.J interaction

What is the sign of the spatial part of the J.J interaction?

The sign of the spatial part of the J.J interaction depends on the relative orientation of the angular momentum vectors of the two interacting particles. It can be positive, negative, or zero.

How does the sign of the spatial part of the J.J interaction affect the interaction strength?

The sign of the spatial part of the J.J interaction determines whether the interaction is attractive or repulsive. A positive sign indicates an attractive interaction, while a negative sign indicates a repulsive interaction.

What factors determine the sign of the spatial part of the J.J interaction?

The sign of the spatial part of the J.J interaction is determined by the quantum numbers of the interacting particles, such as their spin and orbital angular momentum quantum numbers.

Can the sign of the spatial part of the J.J interaction change?

Yes, the sign of the spatial part of the J.J interaction can change if the relative orientation of the angular momentum vectors of the interacting particles changes. This can happen, for example, when the particles undergo a change in their quantum states.

How does the sign of the spatial part of the J.J interaction affect the overall behavior of the system?

The sign of the spatial part of the J.J interaction plays a crucial role in determining the overall behavior of the system, including its stability, energy levels, and possible transitions between different states.