2013/03/31 by Pablo L. Saldanha, Vlatko Vedral · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.87.042102
published as Phys. Rev. A 87, 042102 (2013) · 5 pages, 2 figures. We changed the example used to show that the linear application of the Wigner rotations to the state of a massive relativistic particle in a superposition of two counter-propagating momentum states leads to a paradox. There was a problem with the example used in the previous version
arxiv created 2017/07/03 · arxiv updated 2017/07/04
It is shown that a general model for particle detection in combination with a linear application of the Wigner rotations, which correspond to momentum-dependent changes of the particle spin under Lorentz transformations, to the state of a massive relativistic particle in a superposition of two counter-propagating momentum states leads to a paradox. The paradoxical behavior is that the probability of finding the particle at different positions would depend on the reference frame. A solution to the paradox is given when the physical construction of the corresponding state is taken into account, suggesting that we cannot in general linearly apply the Wigner rotations to a quantum state without considering the appropriate physical interpretation.