String theory and the wave function

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SUMMARY

The discussion focuses on the relationship between quantum mechanical wave functions and string theory (ST). It establishes that in string theory, the quantum state is represented as a functional \(\Psi[X(\sigma)]\). In the pointlike limit, the dependence on \(\sigma\) can be disregarded, simplifying the representation to a wave function \(\Psi(X)\). This highlights the connection between quantum mechanics and string theory in describing particle states.

PREREQUISITES
  • Understanding of quantum mechanics, specifically wave functions.
  • Familiarity with string theory concepts and terminology.
  • Knowledge of functional representations in theoretical physics.
  • Basic grasp of the pointlike limit in quantum field theory.
NEXT STEPS
  • Research the mathematical formulation of wave functions in quantum mechanics.
  • Explore the principles of string theory and its implications for particle physics.
  • Study the concept of functional analysis in the context of quantum states.
  • Investigate the pointlike limit and its significance in quantum field theory.
USEFUL FOR

The discussion is beneficial for theoretical physicists, quantum mechanics students, and researchers interested in the intersection of quantum theory and string theory.

derz
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I didn't find an article about this so I'll ask it here:

How does the quantum mechanical wave function of a particle arise in ST?

Sorry if it has been asked before, but I couldn't find a topic about it.
 
Physics news on Phys.org
In string theory, the quantum state can be represented as a functional
\Psi[X(\sigma)]
In the pointlike limit you can ignore the dependence on \sigma, so what remains is a wave function
\Psi(X)
 
Last edited:

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