Pressure Broadening of Spectral Lines: The Theory of Line Shape in Atmospheric Physics

Contents
Preface
Part I: Preparing the Way
	1 Introduction
		1.1 Matter and Radiation
		1.2 Line Broadening
		1.3 Some Approximations
		1.4 Optical Collisions
		1.5 Plan of the Book
	2 Fundamental Ideas
		2.1 Quantum Systems
		2.2 Radiative Interaction
		2.3 Dipole Absorption
	3 Molecules at Work
		3.1 The Radiator Spectrum
		3.2 Collisions
Part II: Broadening Theory
	4 Isolated Lines
		4.1 Preliminaries
		4.2 Anderson’s Approach
		4.3 Optical Cross-Section
	5 Overlapping Lines
		5.1 Preliminaries
		5.2 Baranger’s Approach
		5.3 Line Shape
	6 Liouville Formalism
		6.2 Some Generalizations
		6.3 Fano’s Approach
		6.4 Reduction and Balance
		6.1 Preliminaries
Part III: Atmospheric Spectra
	7 Line Shape Theory
		7.1 Line Far-Wing
		7.2 Line Core
	8 Absorption by Gases
		8.1 Absorption Coefficient
		8.2 Spectral Computation
		Part Four The Background
		Selection of Material
Appendix 1: State Space
	A1.1 Reciprocal Sets
	A1.2 Normal Operators
	A1.3 Antilinear Operators
	A1.4 The Density Operator
Appendix 2: Product Space
	A2.1 Tensor Products
	A2.2 Separable Basis
	A2.3 Radiator and Bath
	A2.4 Line Space
	A2.5 Superoperators
	A2.6 Liouville Conjugation
Appendix 3: Projectors
	A3.1 Decomposition
	A3.2 Fano’s Projector
Appendix 4: Vector Operators
	A4.1 Dyadics
	A4.2 T-Class Vectors
	A4.3 Vector Components
	A4.4 Selection Rules
Appendix 5: Quantum Dynamics
	A5.1 Based on the Hamiltonian
	A5.2 Based on the Liouvillian
Appendix 6: Scattering Theory
	A6.1 The Lippmann–Schwinger Equation
	A6.2 The Scattering Matrix
	A6.3 Scattering States
Appendix 7: Resolvent Methods
	A7.1 Resolvent Expansions
	A7.2 The Transition Operator
	A7.3 The Connected Operator
	A7.4 The Relaxation Operator
	A7.5 To the Markov Limit
Appendix 8: Linear Response
	A8.1 Response Function
	A8.2 Susceptibility Tensor
Appendix 9: Correlation Function
	A9.1 Process Statistics
	A9.2 The Wiener–Khinchin Theorem
	A9.3 Following Anderson
	A9.4 Uncoupled Lines
Appendix 10: Complex Time
	A10.1 The Fluctuation–Dissipation Theorem
	A10.2 Initial Correlations
Appendix 11: Absorption
	A11.1 Polarizing Field
	A11.2 Absorbing Medium
Appendix 12: Multipole Moments
	A12.1 The Multipole Expansion
	A12.2 Cartesian Multipoles
	A12.3 Spherical Tensors
	A12.4 Dipole Transitions
Appendix 13: Angular Momentum
	A13.1 States and Operators
	A13.2 Vector Addition
Appendix 14: The Wigner–Eckart Theorem
	A14.1 General Outline
	A14.2 The Vector Case
	A14.3 Transition Strength
Appendix 15: Reduced Amplitudes
	A15.1 Reality Issues
	A15.2 An Example
Appendix 16: Units and Other Matters
	A16.1 Units
	A16.2 The Dirac Delta
	A16.3 Sign Conventions
Appendix 17: Plasma Spectra: Pointers
Notes
References
Index