Nurisya Mohd Shah, Universiti Putra Malaysia | Effects of Noncommuative Quantum Mechanics on Phase Space

A concrete physical example of a situation where the introduction of a noncommutative phase space makes a difference in the observed energy spectrum and its associated quantum states of a quantum mechanical system can be found by examining the Landau levels problem. This image depicts the density plots of the probability distribution functions for the ground state and the first few excited states at a specific value of the noncommutative parameter, bounded by the domain of a certain radius. Noncommutative quantum mechanics plays a significant role in the study of two-dimensional systems closely resembling the quantum Hall effect. Contributors: Nurisya Mohd Shah, Muhammad Nazren Nazmi Muhammad Rusli, Ahmed Jellal, Mohd Faudzi Umar