TY - JOUR
T1 - How Distorting the Trajectories of Quantum Particles Shapes the Statistical Properties of their Ensemble
AU - Shushi, Tomer
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2023/6/1
Y1 - 2023/6/1
N2 - We present universal statistical relations between the center of mass of a quantum ensemble and its sub-ensembles when the Bohmian trajectories of the particles are distorted. These relations break the additivity property of the expectation into subadditivity of the distorted expectation, which obtains an evident difference between the various ways to infer quantum expectations. The results do not depend on the form of the Hamiltonian, and do not have a classical parallel. While an experimentalist can arrange the distortion of the trajectories to produce the proposed relations, such distortion may naturally appear in standard experimental setups.
AB - We present universal statistical relations between the center of mass of a quantum ensemble and its sub-ensembles when the Bohmian trajectories of the particles are distorted. These relations break the additivity property of the expectation into subadditivity of the distorted expectation, which obtains an evident difference between the various ways to infer quantum expectations. The results do not depend on the form of the Hamiltonian, and do not have a classical parallel. While an experimentalist can arrange the distortion of the trajectories to produce the proposed relations, such distortion may naturally appear in standard experimental setups.
KW - Bohmian mechanics
KW - Quantum foundations
KW - Quantum trajectories
KW - Subadditive measures
UR - http://www.scopus.com/inward/record.url?scp=85160333723&partnerID=8YFLogxK
U2 - 10.1007/s10773-023-05359-z
DO - 10.1007/s10773-023-05359-z
M3 - Article
AN - SCOPUS:85160333723
SN - 0020-7748
VL - 62
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 6
M1 - 110
ER -