Quantum Loops: Solving the Particle-in-Potential Problem

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Discussion Overview

The discussion revolves around the application of 'Quantum Loops' as a method to describe the quantum mechanics of a particle influenced by a potential, contrasting it with traditional wave function approaches. The scope includes theoretical exploration of quantum mechanics and potential implications for established models like loop quantum gravity.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant proposes using 'Quantum Loops' to solve the particle-in-potential problem, suggesting a departure from wave functions.
  • Another participant inquires about the definition of 'Quantum Loops'.
  • A participant suggests a connection to loop quantum gravity, indicating a potential framework for the discussion.
  • It is noted that applying loop quantum gravity quantization to the harmonic oscillator does not yield the expected results, although the specific paper is not recalled.
  • A suggestion is made to move the discussion to a subforum with experts in loop quantum gravity for further insights.

Areas of Agreement / Disagreement

Participants express varying levels of familiarity with 'Quantum Loops' and loop quantum gravity, indicating that multiple competing views remain regarding the applicability and implications of these concepts in quantum mechanics.

Contextual Notes

The discussion lacks specific definitions of 'Quantum Loops' and the conditions under which they may apply, as well as details on the implications of the harmonic oscillator results mentioned.

Klaus_Hoffmann
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Let be a classical particle with Hamiltonian

[tex]\pi _{t}-p^{2}-V(x)=0[/tex]

can we describe the QM version of it (particle under the influence of a potential) using 'Loops' instead of Waves ?? i mean, although this is a toy model can we apply 'Quantum Loops' to solve the problem ??
 
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what are 'Quantum Loops'?
 
You mean something like loop quantum gravity?
 
Yes Demystifier..like 'Loop Quantum Gravity' but applied to normal QM (Non-relativistic) using Loops instead of Wave functions and so on
 
I have seen one paper claiming that when LQG type of quantization is applied to the ordinary harmonic oscillator, one does not recover the usual results on quantum harmonic oscillator. Unfortunately, I cannot recall which paper was that.

I would suggest to ask the same question at the "Beyond the Standard Model" subforum (or that moderators translate this thread there) because there are several LQG experts on this subforum.
 
Last edited:

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