Table of contents:

{1} Introduction

{2} Theoretical description of resonant processes

 {2.1}Resonant electron-molecule collisions
 {2.2}Dynamics of resonant processes
 {2.3}Partial wave expansion
 {2.4}Neglection of electron angular momentum
 {2.5}Nonlocal resonance model

{3}Computational procedures

{3.1}Solution of the local problem
        Regular solution
        Irregular solution and Green function
{3.2}Evaluation of the nonlocal potential
        Local approximations
{3.3}Solution of Lippmann-Schwinger equation with nonlocal potential
        Short review of the Schwinger-Lanczos approach
          Generalization of SLM for off-diagonal $T$-matrix elements
          Equivalence of GSLM and Wynn's epsilon algorithm
{3.4}Application and comparison of the methods

{4}Dynamics of H2- collision complex

{4.1}Introduction
{4.2}Theoretical description
{4.3}Construction of the model
{4.4}Computational details
{4.5}Results and discussion
{4.6}Conclusions

{5}Resonant processes for hydrogen halides

{5.1}New model for e-+HCl scattering
          R-dependent threshold exponent
          Long range H+Cl- interaction
          Calculation of cross sections
          Dissociative attachment
          Vibrational excitation
          Conclusions
{5.2}Associative detachment in Cl-+H collisions
          Total AD cross section
          State distribution of final HCl molecule
          Electron spectra
{5.3}Collisions of other halogen anions with atomic hydrogen
          Model for F-+H
          Preliminary results for HBr

{6}Penning ionization in cold He*+He* collisions

{6.1}Electronic structure of He*+He* system
          Construction of diabatic curves
{6.2}Theoretical description
          Interaction of one metastable state with one continuum
          Application to He*(2^3S)+He*(2^3S) collisions
          Several states and several continua
{6.3}Results
          He*(2^3S)+He*(2^3S) collisions
          He*(2^3S)+He*(2^3P) collisions
          Test 1: Non-diagonal terms in Gamma(R)
          Test 2: Coupling terms C_{12}(R) and C_{13}(R)
          Test 3: Sensitivity to Gamma _i(R)
          Test 4: Interference
{6.4}Conclusions

{7}Concluding remarks

Appendix

{A}Angular momentum

{B}Description of the models
{B.1}Models for H$_2^-$ $^2\Sigma ^+_u$ resonance
          New model
{B.2}Models for the HCl$^-$ $^2\Sigma ^+$ resonance
          DMH model
          DMHC-2 model
{B.3}Model for the HF$^-$
{B.4}Model for the HBr$^-$

{C}Scattering in complex potential
          Single complex potential
          Several coupled states
{C.1}Solution of the Lippmann-Schwinger equation for coupled channels