2009/03/24 by Dipankar Home, A. K. Pan, Alok Kumar Pan +1
Mathematics · Physics and Astronomy · #Classical limit #Classical mechanics #Gaussian #Limit (mathematics) #Mathematical analysis #Mathematics #Observable #Physics #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics and Entropy #Statistical physics #Wave packet #quant-ph
paper · pdf · doi:10.1088/1751-8113/42/16/165302
published as J. Phys. A: Math. Theor. 42, 165302 (2009)
openalex publication_date 2009/03/24 · arxiv created 2009/06/05 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The classical limit problem of quantum mechanics is revisited on the basis of a scheme that enables a quantitative study of the way the quantum-classical agreement emerges while going through the intermediate mass range between the microscopic and the macroscopic domains. As a specific application of such a scheme, we investigate the classical limit of a quantum time distribution - an area of study that has remained largely unexplored. For this purpose, we focus on the arrival time distribution in order to examine the way the observable results pertaining to the quantum arrival time distribution which is defined in terms of the probability current density gradually approach the relevant classical statistical results for an ensemble that corresponds to a Gaussian wave packet evolving in a linear potential.