Quantum information of a relativistic particle with position-dependent mass under the Aharonov–Casher effect
A. R. P. Moreira, P. O. Amadi, A. N. Ikot +2 more
In this work, the influence of the Aharonov–Casher (AC) effect is investigated for a relativistic particle with position-dependent mass through Shannon quantum information. Shannon’s formalism is appropriate because its results suggest explanations for the measurement uncertainties of a quantum system. To calculate Shannon’s entropy, it is necessary to obtain the description of quantum eigenstates. Using the eigenstates obtained, we analyzed the system quantum information in position and momentum space. Considering the results of Shannon’s entropy, it is possible to understand the influence of the AC effect and the position-dependent mass on the quantum information. It was possible to notice that the informational content decreases in the position space when we increase the value of the parameter that controls the mass profile. This result is strong, as it indicates a decrease in uncertainties related to particle position measurements. The opposite happens when we increase the quantum phase ΦAC.
Canadian Journal of Physics•Dec 5, 2024•0 citations