## Quantum Mechanics Volume 1 |

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### Contents

Directions for | 3 |

Chapter II | 4 |

A Electromagnetic waves and photons | 10 |

B Material particles and matter waves | 18 |

D Particle in a timeindependent scalar potential | 31 |

Particle in a central potential The hydrogen atom | 33 |

Complements of chapter I | 41 |

The hydrogen atom | 47 |

INDEX | 174 |

Some atomic orbitals Hybrid orbitals | 203 |

The postulates of quantum mechanics | 212 |

The physical interpretation of the postulates concerning observables | 225 |

The physical implications of the Schrodinger equation | 236 |

VOLUME ll | 238 |

E The superposition principle and physical predictions | 252 |

Complements of chapter lll | 267 |

B Permutation operators 1377 | 94 |

BIBLIOGRAPHY | 163 |

Complements of chapter ll | 164 |

901 | 277 |

The hyperﬁne structure and the Zeeman eﬂect for muonium | 294 |

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### Common terms and phrases

analogous arbitrary associated assume atom calculate chap chapter classical mechanics closure relation coefﬁcients commute complement complex numbers components concepts consider constant corresponding deﬁned deﬁnition degenerate difﬁculties Dirac notation double-slit experiment eigen eigenstates eigensubspace eigenvalue equation eigenvectors eigenvectors common electric ﬁeld electromagnetic electron equal example expression fact ﬁg ﬁnd ﬁnite ﬁrst ﬁxed formula Fourier transform free particle given Hermitian conjugate Hermitian operator inﬁnite integral interference interpretation linear operator macroscopic material particles matrix elements measurement momentum non-degenerate observable obtain one-dimensional optics orthonormal basis phase phenomena photons physical quantity physical system plane waves possible postulate potential energy predictions probability amplitude probability of ﬁnding properties quantization quantum mechanics reﬂection representation represents result satisﬁed scalar product Schrodinger equation shown in ﬁgure simple slit space spectrum square potential square-integrable stationary subspace sufﬁciently superposition tensor product uncertainty relation unitary vector velocity wave function wave packet wavelength written zero