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1993 (1)
1990 (1)
1Author    J.P Prates Ramalho, F.M Silva FernandesRequires cookie*
 Title    The Transfer Matrix Grid Method for Quantum Partition Functions, Eigenvalues and Eigenfunctions  
 Abstract    A method for the calculation of quantum partition functions, and bound eigenvalues and eigen-functions of the Hamiltonian operator is presented. The method is based on the discretization of the transfer matrix that relates the Feynman path integral to the conventional operator formulation of quantum mechanics. Its implementation is very simple, only requiring the diagonalization of the discretized transfer matrix. The method is applied to the harmonic oscillator and Morse potential. The results are in excellent agreement with the exact ones. 
  Reference    Z. Naturforsch. 45a, 1193—1198 (1990); received June 18 1990 
  Published    1990 
  Keywords    Path integral, Transfer matrix, Eigenvalues, Eigenfunctions 
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 TEI-XML for    default:Reihe_A/45/ZNA-1990-45a-1193.pdf 
 Identifier    ZNA-1990-45a-1193 
 Volume    45 
2Author    SudhirA. Kulkarni, ShridharR. GadreRequires cookie*
 Title    On the Topography of Electron Momentum Densities of Linear Molecules  
 Abstract    A topographical study of the electron momentum density (EMD) of some linear molecules is presented with special emphasis on the bond-directionality principle. A new approach to the bond-directionality (BD) principle has been proposed. This is based on the analysis of curvatures of critical points at p = 0 and elsewhere on the bonding axis. The linear molecules are classified into three broad categories: those which fully obey or disobey the BD principle as well as those which satisfy it only partly. The Laplacian of the EMD at p = 0 has been associated with the quality of the wavefunction via the electron density in the tail region. Also, the similarity in the critical structure of both the EMD and the spherically averaged EMD at the origin is brought out. 
  Reference    Z. Naturforsch. 48a, 145—150 (1993); received January 3 1992 
  Published    1993 
  Keywords    Electron momentum densities, Eigenvalues, Critical points, Topography, Bond direc-tionality 
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 TEI-XML for    default:Reihe_A/48/ZNA-1993-48a-0145.pdf 
 Identifier    ZNA-1993-48a-0145 
 Volume    48