What is meant by 2+1 dimensional

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In summary, "2+1 dimensional" refers to a system or equation that involves two dimensions of space and one dimension of time. This concept is often used in physics and mathematics to describe the behavior and dynamics of a system. In the case of the nonlinear Schrodinger equation, the addition of a time-dependent external potential adds complexity and the possibility of chaotic behavior in the 2+1 dimensional phase space of the system.
  • #1
Whenry
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what is meant by "2+1 dimensional"

what is meant by "2+1 dimensional"

I am assuming this means two space dimensions plus one time...but I just want to make sure.

However, in my case I am working with the nonlinear schrodinger equation with a time dependent external potential. So there is position, velocity, acceleration, and time.
 
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  • #2


Whenry said:
what is meant by "2+1 dimensional"
Where? When? By whom?
 
  • #3


In a paper on the dynamics of the Gross-Pitaevskii equation.

"Time-dependent periodic forces, enriches the behavior of the model. With the explicit time dependence, 2+1 dimensional phase space of the nonlinear system admits the possibility of chaotic dynamics.
 
  • #4


Yea I think it does... 1 + 1 being lineland.
 
  • #5


Whenry said:
what is meant by "2+1 dimensional"

I am assuming this means two space dimensions plus one time...but I just want to make sure.

Yes, that's correct.
 

FAQ: What is meant by 2+1 dimensional

1. What is meant by 2+1 dimensional?

2+1 dimensional refers to the number of spatial dimensions in a specific system or object. In this case, it means that there are two spatial dimensions (length and width) and one temporal dimension (time).

2. How is 2+1 dimensional different from 3+1 dimensional?

The main difference between 2+1 and 3+1 dimensional systems is the number of spatial dimensions. While 2+1 dimensional systems have two spatial dimensions, 3+1 dimensional systems have three. This means that 3+1 dimensional systems have more complexity and degrees of freedom.

3. What are some examples of 2+1 dimensional systems?

Some examples of 2+1 dimensional systems include a sheet of paper, a computer screen, and a map. These systems have two dimensions (length and width) and one temporal dimension (time) that allows for movement or change over time.

4. How is 2+1 dimensional relevant in physics?

2+1 dimensional systems are relevant in many areas of physics, including condensed matter physics, string theory, and cosmology. They provide simplified models for studying more complex systems and can help us understand the behavior of objects in lower dimensions.

5. Can we visualize 2+1 dimensions?

It can be difficult for humans to visualize dimensions beyond our familiar 3D world. However, we can use mathematical techniques and computer simulations to represent and understand 2+1 dimensional systems. These systems may have properties and behaviors that are different from what we experience in our 3D world.

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