Squeezed coherent states for gravitational well in noncommutative space

Gravitational well is a widely used system for the verification of quantum weak equivalence principle (WEP). We have studied gravitational under shed noncommutative (NC) space so that results can be utilized testing validity WEP in NC-space. To keep our study usable, we considered both position–position and momentum–momentum noncommutativity. Since coherent state (CS) structure provides natural bridge between classical domain descriptions, purely phenomena like free fall gravity might verified with help CS. constructed CS aid Lewis–Riesenfeld phase-space invariant operator. deduced uncertainty relations from expectation values observables showed solutions time-dependent Schrödinger equation are squeezed states.