Collision theory Book

1.	Introduction	1
1.1	The Principles of Quantum Mechanics	1
1.2	Some Specific Operators	9
1.3	Eigenstates of a Free Particle	16
1.4	Relativistic Quantum Mechanics	21
2.	Symmetry Operations on the Schrodinger Equation	32
2.1	Translations of Coordinates	32
2.2	Coordinate Rotations	36
2.3	Coordinate Reflections	40
2.4	Charge Conjugation	41
2.5	Displacement in Time	44
2.6	Time Reversal Invariance	51
3.	The Description of Scattering Processes	58
3.1	Preparation of the Initial State	59
3.2	Integration of the Schrodinger Equation for Scattering Processes	67
3.3	Evaluation of the Scattering Cross Section	76
3.4	Physical Interpretations of [psi](t)	95
4.	Further Description of Scattering Processes	111
4.1	Description of the Channels of a Reaction	111
4.2	Wave Function Symmetrization for Systems of Identical Particles	119
4.3	Symmetrization of the Wave Packet States for a Scattering Interaction	133
4.4	Evaluation of the Scattering Cross Section	141
4.5	Examples	148
4.6	Further Description and Simplification of the Matrix Elements of J	164
5.	Formal Scattering Theory	173
5.1	Limiting Process and Transition Probabilities	174
5.2	The S-Matrix and Further Formal Theory	186
5.3	Integral Equations for the Determination of the S-Matrix	197
5.4	Scattering from Two Potentials	202
5.5	The S-Matrix and the Interaction Representation	209
5.6	The Reaction Matrix and the Heitler Integral Equation	215
5.7	Application to Quantum Field Theory	218
6.	The Two-Body Problem with Central Forces	221
6.1	Coordinate Transformations from the Laboratory to the Barycentric Frame of Reference	221
6.2	Partial Wave Analysis and the Scattering Phase Shifts	226
6.3	Nonrelativistic Potential Scattering	243
6.4	Examples	252
6.5	Analytic Properties of Partial Wave Amplitudes	269
6.6	Effective-Range Theory	286
6.7	Approximation Methods	299
6.8	The Potential Scattering of Relativistic Particles	339
7.	Scattering by Noncentral Forces	344
7.1	Kinematical Description of Scattering by Noncentral Forces	345
7.2	Application to the Scattering of Spin Zero by Spin One-Half Particles	358
7.3	Scattering Reactions	372
7.4	The Scattering of Two Spin One-Half Particles	384
7.5	The Density Matrix and the Scattering of Polarized Particles	398
7.6	The Solution of the Dirac Equation in a Central Field	420
8.	The Lifetime and Decay of Virtual States	424
8.1	Stationary State Perturbation Theory	425
8.2	The Decay of a Prepared State	431
8.3	Examples of the Decay of a Prepared State	460
8.4	Preparation of an Unstable State by Scattering Interactions	474
8.5	General Theory of the Lifetime of Scattering States	485
8.6	The General Theory of Resonant Scattering	498
9.	Miscellaneous Applications	510
9.1	Relativistic Description of the Scattering of Spin One-Half Particles by a Force Center	510
9.2	The Scattering and Photoproduction of Pi-Mesons from Nucleons	518
9.3	The Theory of Final State Interactions	540
9.4	Applications of Formal Scattering Theory to Field Theory	553
10.	Introduction to Dispersion Theory	557
10.1	Historical Background	557
10.2	Formal Considerations	563
10.3	Nonrelativistic Theory	567
10.4	Dispersion Relations in Nonrelativistic Theory	585
10.5	Two-Dimensional Representation	598
10.6	Dispersion Relations in Relativistic Field Theory	621
11.	Scattering by Systems of Bound Particles	679
11.1	Scattering from a Single Weakly Bound Particle	680
11.2	Scattering by a Small System of Bound Scatterers	708
11.3	Multiple Scattering by a System of Bound Particles	749
11.4	Use of a Pseudopotential to Describe Elastic Scattering	780
11.5	Coherence and Incoherence in Multiple Scattering Phenomena	804
11.6	Deuteron Stripping and Pick-Up Reactions	833
11.7	The Scattering of Charged Particles by Atoms	850
	Appendices
A	Table of Wigner Coefficients	867
B	Collisions Involving Three Incident Particles	868
C	Completeness and Orthogonality of Channel States	872
D	Computational Methods for Scattering at Low Energy	879
E	The Jacob-Wick Expansion of the Scattering Matrix	882
F	Evaluation of the Amplitude for Nucleon-Nucleon Scattering in Terms of Phase Shifts	899
G.1	Nonrelativistic Dispersion Relations for Combinations of Ordinary and Exchange Potentials	903
G.2	Solution of a Class of Integral Equations	908
	Index	913