Principles of Quantum Scattering Theory

PART I; The main principles and the basic theoretical frameworks for a nonrelativistic quantum-mechanical theory of scattering; A Introduction; B The main physical features of collision problems; B.1 Recognizable reference points of scattering theory; C Universality of the scattering problem; C.1 Fundamental aspects of collision theory; C.2 Collisions in various branches of physics; C.3 Importance of collisions in atomic and molecular physics; C.4 Collisions and new sources of energy; C.5 Application of collisional phenomena in other sciences; C.6 Application of collision phenomena in technology; 1 The key features of quantum systems and the Kato conditions; 2 Time evolution of quantum systems; 3 The Schrodinger picture; 4 The Heisenberg picture; 5 The Dirac picture; 6 The Dyson perturbation expansion of the evolution operator; 7 Time-dependent scattering theory; 8 Time-independent scattering theory; 9 The problem of asymptotic convergence of scattering states; 10 The principle of detailed balance; 11 Convergence of series of operators, state vectors and matrix elements; 12 Recapitulation of the principles of quantum scattering theory; 13 Summary to part I; PART II Selected applications of non-relativistic quantum scattering theory to energetic inelastic collisions of ions with atoms; 14 The physics of double scatterings; 15 The leading experimental methods for double scatterings; 16 The two main theoretical frameworks for ion-atom collisions from low to high energies; 17 Basic mechanisms behind elementary atomic processes; 18 Direct momentum matching; 19 Indirect momentum matching; 20 Dynamic electron correlations; 21 Thomas double scatterings of the active electron with two atomic nuclei; 22 The impulse hypothesis; 23 Drawbacks of the continuum distorted wave method and its; 'derivatives'; 24 Coulomb-Born-type methods for electron detachment; 25 A variational unification of low- and high-energy methods; 26 Thomas-like dielectronic scatterings in transfer ionization; 27 Projectile and target merged cold beams for highly correlated events; 28 Thomas double scatterings of atoms in ion-molecule collisions; 29 Collisions of cold ions and Bose-Einstein condensates; 30 Fundamental reasons for the equivalence between the classical Thomas successive binary collisions and quantal double scatterings; 31 Multiple ionization in fast ion-atom and ion-molecule collisions; 32 Recapitulation on double-scattering mechanisms; 33 The reasons for the inadequacy of the standard impulse approximation; 34 The reformulated impulse approximation (RIA); 35 An analytical calculation of the main scattering integral; 36 Correlated electronic dynamics at all energies; 37 Correct links between scattered waves and transition operator potentials; 38 Illustrations; 38.1 Computational methods; 38.1.1 Deterministic methods; 38.1.2 Stochastic methods; 38.2 Atomic collision problems; 39 Summary to part II; 40 Outlook; References; Index

Biography

Dževad Belki? is a theoretical physicist. He is Professor of Mathematical Radiation Physics at Karolinska Institute in Stockholm, Sweden. His current research activities are in atomic collision physics, radiation physics, radiobiology, magnetic resonance physics and mathematical physics. In atomic collision physics, he has worked on many problems including major challenges such as the theory of charge exchange and ionization at high non-relativistic energies. Inter alia he used distorted wave methods, paying special attention to treatments with correct boundary conditions for scattering particles which interact through Coulomb potentials., In radiation physics, Professor Belki? has worked on the passage of fast electrons and multiply charged ions through tissue as needed in radiation therapy in medicine. Here he has employed both deterministic methods through the Boltzmann equation and stochastic simulations via Monte Carlo computations. In radiobiology, he has worked on mathematical modelling for cell survival, and has focused on mechanistic modelling by including the main pathways for survival of cells under irradiation during radiotherapy., In magnetic resonance physics, Professor Belki? has worked on nuclear magnetic resonance in medicine where he focused on high-resolution parametric signal processors which go beyond the conventional shape estimations of spectra. In mathematical physics, he has worked on many problems including the derivation of analytical expressions for scattering integrals or bound-free form factors, for rational response functions in signal processing, for coupling parameters in the nearest neighbour approximation which is one of the most frequently used methods in physics and chemistry, etc., He has published more than 150 scientific publications which have received over 2000 citations. He has received a number of international awards including the triple Nobel grantee status for research grants in atomic collision theory from the Royal Swedish Academy of Sciences as approved by the Nobel Committee for Physics.

"…presents a thorough overview of the main aspects of the subject…highly recommended…important acquisition for defense libraries and other science and technology libraries…"
E-Streams, Volume 8, no. 8, 2005
"Never have the principles of scattering theory been formulated and applied to such a breadth of problems from basic physics to condenced matter, bio, chemical and medical physics. Computational strategies emphasize both deterministic stochastic methods adding to the value of the book".

-- Erkki Brandas

"This is an excellent book."

-- Professor Ivan Mancev