2011/02/07 by Stefano De Leo, Vinicius Leonardi · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Limit (mathematics) #Momentum (technical analysis) #Opacity #Phase (matter) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Quantum tunnelling #Transit time #Wave packet #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/1751-8113/44/8/085305
published as Journal of Physics A: Math. Theor. 44, 085305-9 (2011) · 9 pages, 2 figures
openalex publication_date 2011/02/07 · arxiv created 2011/03/10 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
After a brief review of the derivation of the standard phase time formula, based on the use of the stationary phase method, we propose, in the opaque limit, an alternative method to calculate the phase time. The new formula for the phase time is in excellent agreement with the numerical simulations and shows that for wave packets, whose upper limit of the momentum distribution is very close to the barrier height, the transit time is proportional to the barrier width.