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(Ebook) Principles of Quantum Scattering Theory 1st Edition by Dzevad Belkic ISBN 9780367849115 0367849119

  • SKU: EBN-11910842
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Authors:Dzevad Belkic (Author)
Pages:0 pages.
Year:2003
Editon:1
Publisher:CRC Press
Language:english
File Size:15.04 MB
Format:pdf
ISBNS:9780367849115, 9780429146497, 9780429524967, 9780750304962, 9781420033649, 0367849119, 0429146493, 042952496X, 0750304960
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(Ebook) Principles of Quantum Scattering Theory 1st Edition by Dzevad Belkic ISBN 9780367849115 0367849119

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Cover image: Principles of Quantum Scattering Theory
Product details:

ISBN 10: 0367849119
ISBN 13: 9780367849115
Author: Dzevad Belkic

Scattering is one of the most powerful methods used to study the structure of matter, and many of the most important breakthroughs in physics have been made by means of scattering. Nearly a century has passed since the first investigations in this field, and the work undertaken since then has resulted in a rich literature encompassing both experimental and theoretical results. In scattering, one customarily studies collisions among nuclear, sub-nuclear, atomic or molecular particles, and as these are intrinsically quantum systems, it is logical that quantum mechanics is used as the basis for modern scattering theory. In Principles of Quantum Scattering Theory, the author judiciously combines physical intuition and mathematical rigour to present various selected principles of quantum scattering theory. As always in physics, experiment should be used to ultimately validate physical and mathematical modelling, and the author presents a number of exemplary illustrations, comparing theoretical and experimental cross sections in a selection of major inelastic ion-atom collisions at high non-relativistic energies. Quantum scattering theory, one of the most beautiful theories in physics, is also very rich in mathematics. Principles of Quantum Scattering Theory is intended primarily for graduate physics students, but also for non-specialist physicists for whom the clarity of exposition should aid comprehension of these mathematical complexities.
 

(Ebook) Principles of Quantum Scattering Theory 1st Edition Table of contents:

PART I The selected main principles and the basic theoretical frameworks for a non-relativistic 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 Schrödinger 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 selected main 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

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Tags: Dzevad Belkic, Quantum Scattering Theory

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