- #1
Devin
- 24
- 1
How would one go about setting up the stress energy tensor for a particle, say an electron subjected to electric an electric field that makes the particle oscillate with frequency \omega?
Devin said:How would one go about setting up the stress energy tensor for a particle
Devin said:I'm just in my beginning stages of learning the theory.
PeterDonis said:What theory? SR? GR? What sources have you used? How did this particular problem occur to you?
I'm asking because the problem you're asking about is not one that is normally encountered as an exercise in relativity textbooks; they usually ask about stress-energy tensors that are much easier to define and work with, such as the SET of a perfect fluid.
The Stress-Energy Tensor is a mathematical quantity used in the study of General Relativity and other theories of gravity. It represents the distribution of energy and momentum in a given region of space and time.
The Stress-Energy Tensor is important for studying an Electron in an Electric Field because it allows us to calculate the effects of the electric field on the electron's energy and momentum, and how this affects the overall dynamics of the system.
The Stress-Energy Tensor for an Electron in an Electric Field can be calculated using the equations of motion for the electron and the known properties of the electric field. This involves solving a set of differential equations and plugging in the appropriate values for the electron's mass, charge, and the strength of the electric field.
The setup for an Electron in an Electric Field involves placing a charged electron in the presence of an external electric field. This could be achieved by using an electrically charged plate or by applying a voltage difference between two electrodes. The electron will then experience a force due to the electric field, causing it to move and accelerate.
The Stress-Energy Tensor for an Oscillator provides us with a comprehensive description of the energy and momentum distribution in the system. It allows us to analyze the effects of the electric field on the electron's motion and understand how it contributes to the overall dynamics of the system. This information is crucial in understanding the behavior of the electron in an electric field and making predictions about its future behavior.