TY - JOUR
AU - Putra, Fima Ardianto
PY - 2018
TI - De Broglie Wave Analysis of the Heisenberg Uncertainty Minimum Limit under the Lorentz Transformation
JF - Jurnal Teras Fisika; Vol 1 No 2 (2018)
DO - 10.20884/1.jtf.2018.1.2.1008
KW -
N2 - A simple analysis using differential calculus has been done to consider the minimum limit of the Heisenberg uncerta i nty principle in the relativistic domain . An a nalysis is made by expressing the form of and based on the Lorentz transformation , and their corresponding relation according to the de Broglie wave packet modification. The result shows that in the relativistic domain, the minimum limit of the Heisenberg uncertainty is p x ћ/2 and/or E t ћ/2, with is the Lorentz factor which depend on the average/group velocity of relativistic de Broglie wave packet. While, the minimum limit according to p x ћ/2 or E t ћ/2, is the special case, which is consistent with Galilean transformation. The existence of the correction factor signifies the difference in the minimum limit of the Heisenberg uncertainty between relativistic and non-relativistic quantum. It is also shown in this work that the Heisenberg uncertainty principle is not invariant under the Lorentz transformation. The form p x ћ /2 and/or E t ћ /2 are properly obeyed by the Klein-Gordon and the Dirac solution . K ey words : De Broglie wave packet, Heisenberg uncertainty , Lorentz transformation , and minimum limit.
UR - http://jos.unsoed.ac.id/index.php/tf/article/view/1008