Quantum Theory of High-Energy Ion-Atom Collisions
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Suitable for graduate students, experienced researchers, and experts, this book provides a state-of-the-art review of the non-relativistic theory of high-energy ion-atom collisions. Special attention is paid to four-body interactive dynamics through the most important theoretical methods available to date by critically analyzing their foundation and practical usefulness relative to virtually all the relevant experimental data.
Fast ion-atom collisions are of paramount importance in many high-priority branches of science and technology, including accelerator-based physics, the search for new sources of energy, controlled thermonuclear fusion, plasma research, the earth’s environment, space research, particle transport physics, therapy of cancer patients by heavy ions, and more.
These interdisciplinary fields are in need of knowledge about many cross sections and collisional rates for the analyzed fast ion-atom collisions, such as single ionization, excitation, charge exchange, and various combinations thereof. These include two-electron transitions, such as double ionization, excitation, or capture, as well as simultaneous electron transfer and ionization or excitation and the like—all of which are analyzed in depth in this book.
Quantum Theory of High-Energy Ion-Atom Collisions focuses on multifaceted mechanisms of collisional phenomena with heavy ions and atoms at non-relativistic high energies.
Basic Notions and Main Observables in Scattering Problems. Requirements of the Theory for the Experiment. Continuous Spectrum and Eigen-Problems of Resolvents. Linear and Bilinear Functionals. Definition of a Quantum Scattering Event. The Adiabatic Theorem and the Abel Strong Limit. Non-Stationary and Stationary Scattering via Strong Limits. Scattering Matrix and Transition Matrix. Spectral Analysis of Operators. The Existence and Completeness of Møller Wave Operators. Four-Body Theories for Fast Ion-Atom Collisions. Perturbation Series with the Correct Boundary Conditions. The Dodd–Greider Series for Four-Body Collisions. Double Electron Capture. Simultaneous Transfer and Ionization. Single Electron Detachment. Single Electron Capture. Simultaneous Transfer and Excitation. Concluding Remarks and Outlooks. Index.