2025/02/09 by Angel García-Chung, Garcia-Chung, Angel, Humberto G. Laguna +1 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Opinion Dynamics and Social Influence #Optics (physics.optics) #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2502.05734
openalex publication_date 2025/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the time of arrival probability distribution of a quantum particle using the Bohmian formalism. The pilot-wave is given by the wave function of the one dimensional vacuum squeezed state but written in the Schrödinger representation. We made use of the unitary representation of the symplectic group in the Hilbert space L2(ℝ). The solution to the Bohmian equations are analytical function thus allowing for a closed expression of the time of arrival distribution which differs from the counterparts in the standard quantum mechanics formulation.