2018/05/03 by Saravanan Rajendran, Rajendran Saravanan, Rajendran, Saravanan +2
Mathematics · Physics and Astronomy · #Acoustics #Computer network #Computer science #Dynamics (music) #FOS: Physical sciences #Gaussian #Geometry #Mathematics #Network packet #Physics #Point (geometry) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Wave packet #quant-ph
paper · pdf · doi:10.48550/arxiv.1805.01463
9 pages, 1figure
openalex publication_date 2018/05/03 · arxiv created 2018/05/08 · arxiv updated 2018/05/09 · openalex created_date 2018/05/17 · openalex updated_date 2026/07/28
We present a method to calculate exact dynamics of a wave-packet in a quantum two-state problem with Dirac delta coupling. The advantage of our method is that the calculations are done in the time domain. Hence inverting the solutions from other domains (Laplace or Fourier domain) do not intervene us from presenting the solution in the time domain. The initial wave packet is considered to be a Gaussian function. The wave propagation in the quantum state is governed by time-dependent Schrödinger equation and the coupling is given by non-diagonal element in the matrix representation. We present the exact analytic forms of the wave function for both the states in the time domain.