Energy-momentum of non-free classical particle

Thread starter atyy
Start date Jul 16, 2011
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Classical Energy-momentum Particle

In summary, the energy-momentum of a non-free classical particle is a vector quantity that describes both its energy and momentum. It can be calculated using the equations E=mc^2 and p=mv, and a high energy-momentum indicates a particle with high speed and mass. The energy-momentum of a non-free particle can change over time due to external forces, and it is closely related to the particle's behavior and interactions with its environment.

Jul 16, 2011

atyy

Science Advisor

Let's discuss only classical fields and particles.

For fields, E²=p²+m² applies only if the field is free. In the presence of sources, we have to use the energy-momentum tensor.

For particles, does E²=p²+m² apply only when they are free, or does it work even if they are acted on by a force?

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Jul 16, 2011

inottoe

The energy-momentum tensor has to be used for all forms of mass/energy that are in a force field.

Jul 16, 2011

atyy

Science Advisor

Thanks!

FAQ: Energy-momentum of non-free classical particle

What is energy-momentum of a non-free classical particle?

The energy-momentum of a non-free classical particle is a measure of its motion and mass. It is a vector quantity that describes both the particle's energy and its momentum. In classical mechanics, the energy-momentum of a particle is conserved, meaning it remains constant unless acted upon by an external force.

How is energy-momentum calculated for a non-free classical particle?

The energy-momentum of a non-free classical particle is calculated using the equations E=mc^2 and p=mv, where E represents energy, m represents mass, c represents the speed of light, p represents momentum, and v represents velocity. These equations can be used to determine the energy and momentum of a particle at any given moment.

What does it mean for a non-free classical particle to have a high energy-momentum?

A high energy-momentum for a non-free classical particle means that it is moving at a high speed and has a large mass. This can indicate that the particle is undergoing significant acceleration or is being acted upon by strong external forces. In quantum mechanics, a high energy-momentum can also indicate a particle with high energy levels or a high frequency of oscillation.

How does the energy-momentum of a non-free classical particle differ from that of a free particle?

A free particle is one that is not subjected to any external forces, while a non-free particle is affected by external forces. As a result, the energy-momentum of a free particle remains constant, while the energy-momentum of a non-free particle can change over time. Additionally, the equations used to calculate energy-momentum may differ slightly between free and non-free particles.

How does energy-momentum relate to the behavior of a non-free classical particle?

The energy-momentum of a non-free classical particle is closely related to its behavior. Changes in the energy-momentum can indicate changes in the particle's motion, such as acceleration or deceleration. Additionally, the energy-momentum can be used to predict the trajectory of a particle and understand how it will interact with other particles or forces in its environment.