Quantum Mechanical Formulation Of Quantum Cosmology For Brane-World Effective Action
| dc.creator | Sanyal, Abhik Kumar | |
| dc.date | 2003-05-12 | |
| dc.date.accessioned | 2026-07-07T03:27:50Z | |
| dc.date.available | 2026-07-07T03:27:50Z | |
| dc.description | Canonical quantization of the Brane-World effective action presented by Kanno and Soda containing higher order curvature invariant terms, has been performed. It requires introduction of an auxiliary variable. As observed in a series of publications by Sanyal and Modak, here again we infer that properly chosen auxiliary variable leads to a Schrodinger like equation where the kinetic part of a canonical variable disentangles from the rest of the variables giving a natural quantum mechanical flavour of time. Further, the effective Hamiltonian turns out to be hermitian, leading to the continuity ewuation. Thus, a quantum mechanical probability inter pretation is plausible. Finally, the extremization of the effective potential leads to Einstein's equation and a well behaved classical solution, which is a desirable feature of the gravitational action containing higher order curvature invariant terms. | |
| dc.description | 6 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0305042 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0305042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34591 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Quantum Mechanical Formulation Of Quantum Cosmology For Brane-World Effective Action | |
| dc.type | text |