## Quantum mechanicsFor more than 25 years, Alastair Rae's Quantum Mechanics has been one of the most highly regarded textbooks in this area. From elementary atomic physics and mathematics, to angular momentum and time dependence, to relativity and quantum computing, the text shows how cutting-edge research topics of quantum mechanics have been applied to various disciplines. Retaining the clarity of its predecessors, this fifth edition presents revised and updated material throughout the text. It offers a clear exposition of fundamental ideas, additional worked examples of the application of quantum mechanics principles to a range of physical problems, and more information on modern quantum information technology. This text was one of the first to include a substantial discussion of the conceptual and philosophical implications of quantum mechanics, which has been revised and extended in the fifth edition. Other topics covered include one- and three-dimensional Schrödinger equations, angular momentum, time-independent perturbation theory, time dependence, scattering, and relativity. Cementing its reputation as an exceptional introductory textbook, Quantum Mechanics, Fifth Edition fully covers the concepts of quantum mechanics taught in an undergraduate physics course and provides the foundation necessary for other specialized courses. |

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### Contents

The onedimensional Schrodinger equations | 15 |

The threedimensional Schrodinger equations | 43 |

The basic postulates of quantum mechanics | 67 |

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apparatus applied associated assume axis beam Bell's theorem boundary conditions calculate chapter classical mechanics collapse commutation component consider constant coordinates corresponding cross section defined degenerate described diffraction Dirac equation direction discussed eigenstate eigenvectors electromagnetic electron energy eigenfunctions energy eigenvalues energy levels equal example expectation value experiment experimental expression figure first-order follows frequency given Hamiltonian harmonic oscillator Hermitian Hermitian operator hydrogen atom identical incident integral interaction known linear combination magnetic field magnitude matrix measurement molecule neutron nucleus obtained one-dimensional operators representing orbital particular perturbation theory photon physical plane wave possible postulate potential predictions probability distribution problem properties quantities quantization quantum computer quantum mechanics quantum number qubits right-hand side scattering Schrodinger equation similar slit solution spherically symmetric spin spin-half particle square Substituting theorem time-dependent Schrodinger equation total angular momentum total energy transition uncertainty principle unperturbed variables vector wave function wavelength zero