Elsevier Science Home
Computer Physics Communications Program Library
Full text online from Science Direct
Programs in Physics & Physical Chemistry
CPC Home

[Licence| Download | New Version Template] adgb_v1_0.gz(5 Kbytes)
Manuscript Title: Algebraic and numerical manipulation of the even-power-series central potentials by means of the hypervirial theorems technique.
Authors: Th.E. Liolios, M.E. Grypeos
Program title: HVTDER-HVTPAS
Catalogue identifier: ADGB_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 105(1997)254
Programming language: Derive, Pascal.
Computer: IBM PC/AT.
RAM: 640K words
Word size: 16
Keywords: Hypervirial, Algebraic solution of Schroedinger eigenvalue problem, Binding energies, Expectation values, Differential equations, Nuclear physics, Theoretical methods, General purpose.
Classification: 4.3, 17.16.

Nature of problem:
Algebraic and numerical calculation of the energy eigenvalues Enl of the 3D Schroedinger equation as well as of the expectation values <V>nl, <T>nl, <r**N>nl for the class of central potentials V(r) = -D + Sigma (Vk b**k r**(2k+2)) k=0 to infinity

Solution method:
A combination of the Quantum Mechanical Hypervirial theorems and the Hellman-Feynman theorem.

The central potential V(r) must be harmonic at short distances.

Running time:
5s for HVTDER and 1s for HVTPAS.