Discussion Overview
The discussion revolves around the concept of "2+1 dimensional" in the context of physics, particularly relating to the nonlinear Schrödinger equation and its implications in phase space dynamics. Participants explore the meaning and application of this terminology, including its relevance to chaotic dynamics and external potentials.
Discussion Character
- Exploratory, Technical explanation, Conceptual clarification
Main Points Raised
- One participant proposes that "2+1 dimensional" refers to two spatial dimensions plus one time dimension, seeking confirmation of this interpretation.
- Another participant questions the context of the term, asking for clarification on where and by whom it is used.
- A third participant references a paper discussing the dynamics of the Gross-Pitaevskii equation, noting that time-dependent periodic forces can lead to chaotic dynamics in a "2+1 dimensional" phase space.
- One participant suggests that "1 + 1" could be interpreted as a simpler case, referred to as "lineland."
- A later reply confirms the initial assumption that "2+1 dimensional" indeed means two spatial dimensions plus one time dimension.
Areas of Agreement / Disagreement
There is some agreement on the interpretation of "2+1 dimensional" as two spatial dimensions plus one time dimension, but questions remain regarding the context and implications of this terminology. Multiple viewpoints exist regarding its application in different scenarios.
Contextual Notes
Participants express uncertainty about the specific contexts in which "2+1 dimensional" is used, and there are references to different models and equations that may influence its interpretation.