Time-Space Noncommutativity in Gravitational Quantum Well scenario

A novel approach to the analysis of the gravitational well problem from a second quantised description has been discussed. The second quantised formalism enables us to study the effect of time space noncommutativity in the gravitational well scenario which is hitherto unavailable in the literature. The corresponding first quantized theory reveals a leading order perturbation term of noncommutative origin. Latest experimental findings are used to estimate an upper bound on the time–space noncommutative parameter. Our results are found to be consistent with the order of magnitude estimations of other NC parameters reported earlier.