Understanding Pointlike & Local Energy Density

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Discussion Overview

The discussion revolves around the terminology used to describe physical quantities that can be defined at a specific point in space, particularly focusing on energy density. Participants explore the distinctions between terms like "pointlike," "local," and "punctual," and consider the implications of these terms in different contexts, including uniform and nonuniform distributions.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that the term "field" is appropriate for describing quantities defined at a point, but the specific type of field (spinor, scalar, tensor, etc.) depends on the nature of the quantity.
  • There is a question about whether "pointlike" refers to quantities defined "only at one point" or to "distributional" quantities, such as those represented by a Dirac delta function.
  • A participant provides an example of energy density, noting its definition as mass per volume in uniform distributions and as a derivative in nonuniform distributions, questioning whether it should be termed pointlike or punctual.
  • Another participant introduces the term "instantaneous" for time-varying quantities and suggests "local" as a suitable term for spatially-varying quantities at a specific point.

Areas of Agreement / Disagreement

Participants express differing views on the appropriate terminology, with no consensus reached on the definitions of "pointlike," "local," or "punctual." The discussion remains unresolved regarding the best terminology to use.

Contextual Notes

Participants have not fully defined the assumptions underlying their terminology choices, and there is ambiguity regarding the context in which these terms are applied, particularly in relation to uniform versus nonuniform distributions.

bernhard.rothenstein
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How do you name a physical quantity that can be defined at a given point in space: pointlike? local? Say energy density.
 
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bernhard.rothenstein said:
How do you name a physical quantity that can be defined at a given point in space: pointlike? local? Say energy density.


Well it's a field. But what kind depends on the type of quantity. Spinor, scalar, tensor, density of weight d, etc.
 
Do you actually mean something that can be defined "only at one point"?
Or something "distributional" (like a Dirac delta function)?

Do you have a specific detailed example?
 
selfAdjoint said:
Well it's a field. But what kind depends on the type of quantity. Spinor, scalar, tensor, density of weight d, etc.

It seems to be way you use the term "write" It seems okay. Folks you might use the term "word."

Adios

Pete
 
point like? punctual?

robphy said:
Do you actually mean something that can be defined "only at one point"?
Or something "distributional" (like a Dirac delta function)?

Do you have a specific detailed example?
I mean density of energy which can be defined in the case of an uniform distribution as ro=m/V but as ro=dm/dV in the case of a nonuniform distribution having well defined magnitudes at different points in space. Do you say that it is a pointlike or punctual physical quantity.
Thanks to al who have answered my question.
 
When we have a time-varying quantity and we want to refer specifically to its value at a certain point in time, we often use the word "instantaneous". Are you looking for a similar word to refer to the value of a spatially-varying quantity, at a particular point in space?

In that case, I think the best word would probably be "local", e.g. "local energy density," as opposed to the "average energy density" over a region of space.
 

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