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Quantum Mechanics

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Cover of 'Quantum Mechanics'

Table of Contents

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    Book Overview
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    Chapter 1 Background: The Duality of Nature
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    Chapter 2 The Motion of Wave Packets: Fourier Analysis
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    Chapter 3 The Schrödinger Wave Equation and Probability Interpretation
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    Chapter 4 Schrödinger Theory: The Existence of Discrete Energy Levels
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    Chapter 5 Harmonic Oscillator Calculations
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    Chapter 6 Further Interpretation of the Wave Function
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    Chapter 7 The Eigenvalue Problem
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    Chapter 8 Spherical Harmonics, Orbital Angular Momentum
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    Chapter 9 ℓ-Step operators for the θ Equation
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    Chapter 10 The Radial Functions for the Hydrogenic Atom
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    Chapter 11 Shape-Invariant Potentials: Soluble One-Dimensional Potential Problems
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    Chapter 12 The Darboux Method: Supersymmetric Partner Potentials
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    Chapter 13 The Vector Space Interpretation of Quantum-Mechanical Systems
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    Chapter 14 The Angular Momentum Eigenvalue Problem (Revisited)
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    Chapter 15 Rigid Rotators: Molecular Rotational Spectra
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    Chapter 16 Transformation Theory
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    Chapter 17 Another Example: Successive Polarization Filters for Beams of Spin s = 1/2 Particles
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    Chapter 18 Transformation Theory for Systems with Continuous Spectra
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    Chapter 19 Time-Dependence of State Vectors, Algebraic Techniques, Coherent States
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    Chapter 20 Perturbation Theory
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    Chapter 21 Stationary-State Perturbation Theory
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    Chapter 22 Example 1: The Slightly Anharmonic Oscillator
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    Chapter 23 Perturbation Theory for Degenerate Levels
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    Chapter 24 The Case of Nearly Degenerate Levels
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    Chapter 25 Magnetic Field Perturbations
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    Chapter 26 Fine Structure and Zeeman Perturbations in Alkali Atoms
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    Chapter 27 Angular Momentum Coupling Theory
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    Chapter 28 Symmetry Properties of Clebsch—Gordan Coefficients
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    Chapter 29 Invariance of Physical Systems Under Rotations
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    Chapter 30 The Clebsch—Gordan Series
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    Chapter 31 Spherical Tensor Operators
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    Chapter 32 The Wigner—Eckart Theorem
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    Chapter 33 Nuclear Hyperfine Structure in One-Electron Atoms
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    Chapter 34 Angular Momentum Recoupling: Matrix Elements of Coupled Tensor Operators in an Angular Momentum Coupled Basis
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    Chapter 35 Perturbed Coulomb Problems via SO(2,1) Algebra
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    Chapter 36 The WKB Approximation
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    Chapter 37 Applications of the WKB Approximation
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    Chapter 38 The Two-Electron Atom
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    Chapter 39 n -Identical Particle States
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    Chapter 40 The Variational Method
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    Chapter 41 Introduction to Scattering Theory
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    Chapter 42 The Rayleigh—Faxen—Holtzmark Partial Wave Expansion: Phase Shift Method
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    Chapter 43 A Specific Example: Scattering from Spherical Square Well Potentials
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    Chapter 44 Scattering Resonances: Low-Energy Scattering
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    Chapter 45 Integral Equation for Two-Body Relative Motion: Scattering Green’s Functions in Coordinate Representation
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    Chapter 46 The Born Approximation
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    Chapter 47 Operator Form of Scattering Green’s Function and the Integral Equation for the Scattering Problem
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    Chapter 48 Inelastic Scattering Processes and Rearrangement Collisions
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    Chapter 49 Differential Scattering Cross Sections for Rearrangement Collisions: Born Approximation
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    Chapter 50 A Specific Example of a Rearrangement Collision: The ( d , p ) Reaction on Nucleus A
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    Chapter 51 The S Matrix
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    Chapter 52 Scattering Theory for Particles with Spin
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    Chapter 53 Scattering of Spin 1/2 Particles from Spinless Target: Partial Wave Decomposition
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    Chapter 54 The Polarization Vector
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    Chapter 55 Density Matrices
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    Chapter 56 Isospin
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    Chapter 57 Time-Dependent Perturbation Expansion
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    Chapter 58 Oscillating Magnetic Fields: Magnetic Resonance
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    Chapter 59 Sudden and Adiabatic Approximations
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    Chapter 60 Interaction of Electromagnetic Radiation with Atomic Systems
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    Chapter 61 Photons: The Quantized Radiation Field
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    Chapter 62 Vector Spherical Harmonics
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    Chapter 63 The Emission of Photons by Atoms: Electric Dipole Approximation
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    Chapter 64 The Photoelectric Effect: Hydrogen Atom
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    Chapter 65 Spontaneous Photon Emission: General Case: Electric and Magnetic Multipole Radiation
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    Chapter 66 Scattering of Photons by Atomic Systems
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    Chapter 67 Resonance Fluorescence Cross Section
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    Chapter 68 Natural Line Width: Wigner-Weisskopf Treatment
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    Chapter 69 Dirac Theory: Relativistic Quantum Theory of Spin-1/2 Particles
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    Chapter 70 Lorentz Covariance of the Dirac Equation
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    Chapter 71 Bilinear Covariants
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    Chapter 72 Simple Solutions: Free Particle Motion: Plane Wave Solutions
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    Chapter 73 Dirac Equation for a Particle In an Electromagnetic Field
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    Chapter 74 Pauli Approximation to the Dirac Equation
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    Chapter 75 The Klein Paradox: An Example from the History of Negative Energy State Difficulties: The Positron Interpretation
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    Chapter 76 Exact Solutions for the Dirac Equation for Spherically Symmetric Potentials
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    Chapter 77 The MIT Bag Model: The Dirac Equation for a Quark Confined to a Spherical Region
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    Chapter 78 Many-Body Formalism
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    Chapter 79 Many-Body Techniques: Some Simple Applications
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Title
Quantum Mechanics
Published by
Springer New York, December 2012
DOI 10.1007/978-1-4612-1272-0
ISBNs
978-1-4612-1272-0, 978-1-4612-7072-0
Authors

Hecht, K. T.

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The data shown below were compiled from readership statistics for 5 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 5 100%

Demographic breakdown

Readers by professional status Count As %
Student > Postgraduate 1 20%
Unknown 4 80%
Readers by discipline Count As %
Mathematics 1 20%
Unknown 4 80%