## Quantum Mechanics: With 128 Worked Examples and ProblemsGreiner's lectures, which underlie these volumes, are internationally noted for their clarity, their completeness and for the effort that he has devoted to making physics an integral whole; his enthusiasm for his science is contagious and shines through almost every page. These volumes represent only a part of a unique and Herculean effort to make all of theoretical physics accessible to the interested student. Beyond that, they are of enormous value to the professional physicist and to all others working with quantum phenomena. Again and again the reader will find that, after dipping into a particular volume to review a specific topic, he will end up browsing, caught up by often fascinating new insights and developments with which he had not previously been familiar. Having used a number of Greiner's volumes in their original German in my teaching and research at Yale, I welcome these new and revised English translations and would recommend them enthusiastically to anyone searching for a coherent overview of physics. |

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### Contents

I | 1 |

II | 19 |

III | 20 |

IV | 22 |

V | 23 |

VI | 32 |

VII | 34 |

VIII | 36 |

LXXI | 304 |

LXXIII | 306 |

LXXIV | 309 |

LXXV | 313 |

LXXVI | 316 |

LXXVII | 326 |

LXXVIII | 329 |

LXXIX | 335 |

IX | 40 |

X | 41 |

XI | 43 |

XII | 54 |

XIII | 55 |

XIV | 57 |

XV | 62 |

XVI | 71 |

XVII | 75 |

XVIII | 76 |

XIX | 78 |

XX | 85 |

XXI | 87 |

XXII | 98 |

XXIII | 100 |

XXIV | 108 |

XXVI | 109 |

XXVIII | 112 |

XXIX | 115 |

XXX | 118 |

XXXII | 120 |

XXXIII | 121 |

XXXIV | 134 |

XXXV | 135 |

XXXVI | 140 |

XXXVII | 141 |

XXXVIII | 147 |

XXXIX | 155 |

XL | 157 |

XLI | 161 |

XLII | 169 |

XLIII | 185 |

XLIV | 187 |

XLV | 193 |

XLVI | 195 |

XLVIII | 198 |

XLIX | 200 |

L | 202 |

LI | 212 |

LII | 215 |

LIII | 216 |

LIV | 218 |

LV | 219 |

LVI | 231 |

LVII | 234 |

LIX | 241 |

LX | 242 |

LXI | 245 |

LXII | 247 |

LXIII | 258 |

LXIV | 263 |

LXV | 265 |

LXVI | 267 |

LXVII | 269 |

LXVIII | 272 |

LXIX | 301 |

LXXX | 339 |

LXXXI | 341 |

LXXXII | 345 |

LXXXIII | 346 |

LXXXIV | 347 |

LXXXV | 349 |

LXXXVI | 352 |

LXXXVII | 353 |

LXXXVIII | 355 |

XC | 356 |

XCI | 357 |

XCIII | 360 |

XCIV | 361 |

XCV | 363 |

XCVI | 366 |

XCVII | 385 |

XCVIII | 387 |

C | 397 |

CI | 399 |

CII | 406 |

CIII | 407 |

CIV | 408 |

CV | 418 |

CVI | 426 |

CVII | 430 |

CVIII | 435 |

CIX | 439 |

CX | 444 |

CXI | 447 |

CXII | 448 |

CXIII | 449 |

CXV | 450 |

CXVI | 451 |

CXVII | 452 |

CXVIII | 454 |

CXIX | 456 |

CXX | 457 |

CXXI | 459 |

CXXII | 460 |

CXXIII | 465 |

CXXV | 467 |

CXXVI | 468 |

CXXVII | 470 |

CXXVIII | 474 |

CXXIX | 475 |

CXXX | 477 |

CXXXII | 480 |

CXXXIII | 481 |

CXXXIV | 482 |

CXXXV | 483 |

CXXXVI | 497 |

CXXXVII | 505 |

CXXXVIII | 509 |

CXXXIX | 513 |

519 | |

### Common terms and phrases

abelian analogous angle angular momentum operators antiquarks antisymmetric antitriplet arbitrary axis baryon boxes calculate Casimir operator Chap charge Clebsch-Gordan coefficients column commutation relations components conserved consider construct coordinate corresponding decay defined denote determined diagonal dimension doublet eigenfunctions eigenstates eigenvalue energy Example Exercise follows fundamental representations G parity given Greiner hadrons Hamiltonian Hence hermitian hypercharge identical infinitesimal integer interaction irreducible representations isomorphic isospin Lemma Lie algebra Lie group linear combination linearly independent matrix elements multiplet multiplication neutron nucleon obtain octet orbital angular momentum orthogonal parameters parity particles permutation physics pions Problem properties proton Quantum Mechanics quantum numbers quark represented resonances respect result rotation group rotation vector scalar semi-simple singlet Solution space spin structure constants SU(n subgroup subspace symmetry group tensor theorem total angular momentum transformation triplet unitary values vector mesons wave function weight operators yields Young diagram zero