2004/11/02 by Rajneesh Atre, Chandra Mohapatra, Atre, Rajneesh +4
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics and Entropy #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0411016
8 pages, 5 figures
arxiv created 2004/11/02 · arxiv updated 2009/12/01
We provide an algebraic procedure to find the eigenstates of two-charged particles in an oscillator potential, known as \itHooke's atom. For the planar Hooke's atom, the exact eigenstates and single particle densities for arbitrary azimuthal quantum number, are obtained analytically. Information entropies associated with the wave functions for the relative motion are then studied systematically, since the same incorporates the effect of the Coulomb interaction. The \itquantum pottery of the information entropy density reveals a number of intricate structures, which differ significantly for the attractive and repulsive cases. We indicate the procedure to obtain the approximate eigen states. Making use of the relationship of this dynamical system with the quasi-exactly solvable systems, one can also develop a suitable perturbation theory, involving the Coulomb coupling Z, for the approximate wave functions.