Zwiebach 9.3e: Relating τ to X0 & Angular Frequency

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SUMMARY

The discussion focuses on the relationship between τ and X0 in the context of string theory, specifically using the equation τ = X^0 / (2√2 α' p^+). It establishes that the angular frequency can be derived as 1 / (2√2 α' p^+). The participants emphasize the importance of substituting τ into the equations for X^{(2)} and X^{(3)} to further understand the implications of this relationship.

PREREQUISITES
  • Understanding of string theory concepts, particularly τ and X0.
  • Familiarity with the parameters α' and p^+ in string theory.
  • Knowledge of angular frequency in the context of physics.
  • Ability to manipulate and substitute equations in theoretical physics.
NEXT STEPS
  • Research the implications of α' in string theory and its physical significance.
  • Study the derivation of angular frequency in various physical systems.
  • Explore the equations for X^{(2)} and X^{(3)} in detail.
  • Investigate the role of τ in different string theory models.
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Students and researchers in theoretical physics, particularly those focusing on string theory and its mathematical frameworks.

ehrenfest
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Homework Statement


I can relate tau and X0 by:

[tex]\tau = \frac{X^0}{2 \sqrt{2} \alpha' p^+ }[/tex]

Why does that mean the angular frequency is

[tex]\frac{1}{2 \sqrt{2} \alpha' p^+ }[/tex]

?

Homework Equations





The Attempt at a Solution

 
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ehrenfest said:
[tex]\tau = \frac{X^0}{2 \sqrt{2} \alpha' p^+ }[/tex]
Take this and plug it into the equations for [itex]X^{(2)}[/itex] and [itex]X^{(3)}[/itex].
 

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