## A Modern Approach to Quantum MechanicsInspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject. |

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### Contents

Rotation of Basis States and Matrix Mechanics | 24 |

Angular Momentum | 64 |

A System of Two Spini Particles | 120 |

Wave Mechanics in One Dimension | 147 |

The OneDimensional Harmonic Oscillator | 194 |

Path Integrals | 216 |

Translational and Rotational Symmetry | 237 |

Bound States of Central Potentials | 274 |

TimeIndependent Perturbations | 306 |

the Lamb Shift and Hyperline Splitting | 331 |

Identical Particles | 341 |

Photons and Atoms | 399 |

A Electromagnetic Units | 444 |

Dirac Delta Functions | 453 |

E The Lagrangian for a Charge q in a Magnetic Field | 460 |

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ammonia molecule amplitude angle angular momentum operators axes axis beam calculate Chapter classical commutation relations component constant Coulomb cross section determine differential equation Dirac direction discussion eigenstates electric field electromagnetic field electron energy eigenfunctions energy eigenstates energy eigenvalue equation energy levels evaluate example expectation value express FIGURE Gaussian given Hamiltonian harmonic oscillator Hermitian operators hydrogen atom interaction intrinsic spin ket vector kinetic energy lowering operators magnetic field magnitude matrix elements matrix representation measurement of Sz nonzero obtain one-dimensional orbital angular momentum overall phase perturbation theory photon physical plane polarization position space position-space potential energy Problem quantum mechanics radial relativistic rotation operator satisfy scattering Schrodinger equation SG device shown in Fig shows solution spherical spin angular momentum spin-j particle Stern-Gerlach experiments superposition symmetry Sz basis total spin transition two-particle uncertainty relation vanishes vector potential wave function zero