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On the Weak Measurement of Velocity in Bohmian Mechanics

Detlef Dürr, Sheldon Goldstein, Nino Zanghı̀

Springer eBooksNov 6, 20120 citations

Weak Measurements from the Point of View of Bohmian Mechanics

C. Richard Leavens

Foundations of PhysicsMar 1, 200536 citations

Weak Value, Quasiprobability and Bohmian Mechanics

Kazuki Fukuda, Jaeha Lee, Izumi Tsutsui

arXiv:1602.08872Foundations of PhysicsDec 1, 20166 citations

Constraint and statistical implications of the spin weak value in Bohmian mechanics

Weixiang Ye

Physics Letters AMay 12, 20261 citation

Weak measurement and Bohmian conditional wave functions

Travis Norsen, Ward Struyve

arXiv:1305.2409Annals of PhysicsJul 16, 201414 citations

Actual and weak actual values in Bohmian mechanics

Weixiang Ye

We systematically analyze Holland's local expectation values within Bohmian mechanics, referring to them as weak actual values to emphasize their connection with weak measurement theory. We derive the exact time evolution equation for these quantities along a Bohmian trajectory and formally establish their correspondence with the real part of the weak value under position postselection. The explanatory power of this framework is demonstrated by revisiting a recent waveguide experiment: we show that the measured quantity corresponds to the imaginary part of the momentum weak value, which reflects the spatial decay of the wave field, not the particle velocity. This cleanly clarifies the distinct physical roles of the real and imaginary parts of weak values.We systematically analyze Holland's local expectation values within Bohmian mechanics, referring to them as weak actual values to emphasize their connection with weak measurement theory. We derive the exact time evolution equation for these quantities along a Bohmian trajectory and formally establish their correspondence with the real part of the weak value under position postselection. The explanatory power of this framework is demonstrated by revisiting a recent waveguide experiment: we show that the measured quantity corresponds to the imaginary part of the momentum weak value, which reflects the spatial decay of the wave field, not the particle velocity. This cleanly clarifies the distinct physical roles of the real and imaginary parts of weak values.

quant-pharXiv:2512.12951Annalen der PhysikDec 16, 20250 citations

On the Weak Measurement of Velocity in Bohmian Mechanics

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