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__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