Title ofprogram: GAMOW FUNCTIONS Nature of the physical problem The program calculates the normalized Gamow solution of the Catalog number: AAOD radial Schrodinger equation, i.e. the solution which is regular at the origin and has purely outgoing wave asymptotics, in a Program obtainable from: CPC Program Library, Queen's Uni-spherically symmetric complex potential of arbitrary form. versity of Belfast, N. Ireland (see application form in this issue) Optionally either the complex energy eigenvalue in a given potential i.e. the position of the pole of the scattering function Computer: ES-1040 (IBM 360 compatible); Installation: S(E) or the strength of the short-range potential belonging to a Hungarian Academy of Sciences Central Research Institute for given energy value is computed. Physics, Budapest, Hungary Method of solution Operating system: OS 28.F Internal and external solutions satisfying the boundary conditions in the origin and the asymptotic region, respectively, are Other computers on which it is operable: PDP 11, CDC 3300 generated by integrating the radial equation with the Fox-Goodwin method and from the mismatch of their logarithmic Programming language used: FORTRAN IV derivatives a correction to the eigen energy/potential strength is determined. The procedure is repeated with the corrected High speed storage required: value till convergence. The wave function is normalized in the double precision version: 94 Kbytes, Zel'dovich sense by integrating numerically along a Contour in single precision version: 76 Kbytes the complex r-plane. Number of bits per byte: 8 Restrictions on the complexity of the problem The present method does not work in the vicinity of zero Overlay structure: none energy and for unphysical resonances and antibound states. Peripherals used: line printer, card reader Typical running time 0.5-3 s per iteration. No. of cards in combined test deck: 1359