# Usual QM with 'loops'

1. Jul 29, 2007

### Klaus_Hoffmann

Let be a classical particle with Hamiltonian

$$\pi _{t}-p^{2}-V(x)=0$$

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 ??

2. Jul 30, 2007

### olgranpappy

what are 'Quantum Loops'?

3. Jul 30, 2007

### Demystifier

You mean something like loop quantum gravity?

4. Jul 30, 2007

### Klaus_Hoffmann

Yes Demystifier..like 'Loop Quantum Gravity' but applied to normal QM (Non-relativistic) using Loops instead of Wave functions and so on

5. Jul 31, 2007

### Demystifier

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: Jul 31, 2007