- #1
Klaus_Hoffmann
- 86
- 1
ain't Quantum gravity problem solved? i mean if you have the ADM Hamiltonian
[tex] \mathcal{H}=\frac{1}{2}\gamma^{-1/2}(\gamma_{ik}\gamma_{jl}+\gamma_{il}\gamma_{jk}-\gamma_{ij}\gamma_{kl})\pi^{ij}\pi^{kl}-\gamma^{1/2}{}^{(3)}R [/tex]
then you apply the usual quantization procedure with [tex] \pi_{ij} = -i \frac{\delta }{\delta \gamma_{ab}} [/tex]
so you can calculate the Wave function (state) and the energies so the problem would be solved then what's happening
[tex] \mathcal{H}=\frac{1}{2}\gamma^{-1/2}(\gamma_{ik}\gamma_{jl}+\gamma_{il}\gamma_{jk}-\gamma_{ij}\gamma_{kl})\pi^{ij}\pi^{kl}-\gamma^{1/2}{}^{(3)}R [/tex]
then you apply the usual quantization procedure with [tex] \pi_{ij} = -i \frac{\delta }{\delta \gamma_{ab}} [/tex]
so you can calculate the Wave function (state) and the energies so the problem would be solved then what's happening