## The quantum theory of lightThis third edition, like its two predecessors, provides a detailed account of the basic theory needed to understand the properties of light and its interactions with atoms, in particular the many nonclassical effects that have now been observed in quantum-optical experiments. The earlier chapters describe the quantum mechanics of various optical processes, leading from the classical representation of the electromagnetic field to the quantum theory of light. The later chapters develop the theoretical descriptions of some of the key experiments in quantum optics. Over half of the material in this third edition is new. It includes topics that have come into prominence over the last two decades, such as the beamsplitter theory, squeezed light, two-photon interference, balanced homodyne detection, travelling-wave attenuation and amplification, quantum jumps, and the ranges of nonlinear optical processes important in the generation of nonclassical light. The book is written as a textbook, with the treatment as a whole appropriate for graduate or postgraduate students, while earlier chapters are also suitable for final-year undergraduates. Over 100 problems help to intensify the understanding of the material presented. |

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### Contents

PLANCKS RADIATION LAW AND THE EINSTEIN | 1 |

THEORY OF SIMPLE OPTICAL PROCESSES | 22 |

QUANTUM THEORY OF THE EINSTEIN B COEFFICIENT | 39 |

Copyright | |

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According to eqn amplitude atomic excitation atomic transition average beam intensity calculation cavity mode coeﬂicient contributions cycle-averaged deﬁned in eqn deﬁnition density operator dependence derived differential cross-section eigenstates Einstein electric ﬁeld electric-dipole electromagnetic ﬁeld electromagnetic wave electron emitted energy density equation evaluated expression factor ﬁnal ﬁnite ﬁrst ﬁrst-order coherence ﬁxed function given by eqn Hamiltonian harmonic oscillator help of eqn illustrated in Fig inﬁnite integral intensity ﬂuctuations interaction laser light beam linear linewidth Lorentzian magnitude matrix element mean number mechanics non-linear non-linear optics number of photons obtained optical cavity optics parameter phase photon distribution photon-count distribution phototube Phys polarization Problem processes quantity quantized Quantum optics quantum-mechanical radiation ﬁeld radiative refractive index resonant result satisﬁed scattering second-order coherence semiclassical shown in eqn shown in Fig signiﬁcant similar single-mode speciﬁed spontaneous emission stimulated emission suﬂiciently susceptibility thermal transition frequency transition rate two-photon absorption vector wavefunction wavevector zero zero-point energy