2003/12/10 by Rajneesh Atre, Anil Kumar, C. Nagaraja Kumar +2
Physics and Astronomy · #Coherent states #Eigenvalues and eigenvectors #Entropy (arrow of time) #Excited state #Ground state #Physics #Position (finance) #Position and momentum space #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.69.052107
published as Phys. Rev. A 69, 052107 (2004) · Revtex4, 11 pages, 11 eps figures and a table
arxiv created 2003/12/10 · openalex publication_date 2004/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The position and momentum space information entropies, of the ground state of the P"oschl-Teller potential, are exactly evaluated and are found to satisfy the bound obtained by Beckner, Bialynicki-Birula, and Mycielski. These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. We then compute the position space entropies of the coherent state of the P"oschl-Teller potential, which is known to show revival and fractional revival. Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy.