Hard-point Particle: Hamiltonian Explained

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Discussion Overview

The discussion centers on the concept of a hard-point gas and its Hamiltonian formulation. Participants explore the relationship between hard-point and hard-sphere gases, particularly in the context of dimensionality.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the understanding of a hard-point gas in terms of its Hamiltonian.
  • Another participant suggests that the inquiry may relate to the Hamiltonian of a hard-sphere system and references a Wikipedia article for further clarification.
  • A participant acknowledges the equivalence of hard-point gas to hard-sphere gas in one dimension.
  • There is a request for clarification on what specific aspect of the hard-point gas the original poster is questioning.

Areas of Agreement / Disagreement

Participants express some agreement on the equivalence of hard-point and hard-sphere gases, but the specific questions and concerns regarding the Hamiltonian remain unclear and unresolved.

Contextual Notes

The discussion lacks explicit definitions and may depend on interpretations of dimensionality and Hamiltonian formulations.

dapias09
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Hi all,

what do you understand by a hard-point gas?, I mean in terms of its hamiltonian.

Thanks in advance.
 
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Let me know if this is incorrect but I think what you are asking is, what is the form of the hamiltonian of a hard-sphere system?

If so, is there something in this definition that is troublesome? http://en.wikipedia.org/wiki/Hard_spheres
 
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Thank you Jorriss, yes I realized that the hard-point gas is the same than the hard-sphere gas but in one dimension.
 
dapias09 said:
Thank you Jorriss, yes I realized that the hard-point gas is the same than the hard-sphere gas but in one dimension.
Sure, but I am unclear on what you are wondering about.
 

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