Eur. Phys. J. C (2007) 51: 199-205
https://doi.org/10.1140/epjc/s10052-007-0274-y

Regular Article - Theoretical Physics

Time-space non-commutativity in gravitational quantum well scenario

Department of Physics, Sovarani Memorial College, Jagatballavpur, Howrah, 711408, West Bengal, India

^* e-mail: ani_saha09@yahoo.co.in

Received: 13 November 2006
Published online: 1 June 2007

Abstract

A novel approach to the analysis of the gravitational well problem from the point of view of a second quantized description is discussed. The second quantized formalism enables us to study the effect of time-space non-commutativity in the gravitational well scenario; this study is hitherto unavailable in the literature. The corresponding first quantized theory reveals a leading order perturbation term of non-commutative origin. The latest experimental findings are used to estimate an upper bound on the time-space non-commutative parameter. Our results are found to be consistent with the order of magnitude estimations of other NC parameters reported earlier.