最 低 价：￥239.94
| preface. i introduction i 1-1 the nature of the problem 1-2 the role of symmetry 3 2 abstract group theory 6 2-1 definitions and nomenclature 6 2-2 illustrative examples 7 2-3 rearrangement theorem 8 2-4 cyclic groups 9 2-5 subgroups and cosets 9 2-6 example groups of finite order 10 2-7 conjugate elements and class structure 12 2-8 normal divisors and factor groups 13 2-9 class multiplication 15 exercises 16 references 17 3 theory of group representations 18 3-1 definitions 18 3-2 proof of the orthogonality theorem 20 3-3 the character of a representation 25 .3-4 construction of character tables 28 3-5 decomposition of reducible representations 29 3-6 application of representation theory in quantum mechanics 31 3-7 illustrative representations of abelian groups 37 3-8 basis functions for irreducible representations 39 3-9 direct-product groups 43 3-10 direct-product representations within a group 46 exercises 47 references 48 4 physical applications of group theory 50 4-1 crystal-symmetry operators 51 4-2 the crystallographic point groups 54 4-3 irreducible representations of the point groups 62 4-4 elementary representations of the three-dimensional rotation group 65 4-5 crystal-field splitting of atomic energy levels 67 4-6 intermediate crystal-field-splitting case 69 4-7 weak-crystal-field case and crystal double groups 75 4-8 introduction of spin effects in the medium-field case 78 4-9 group-theoretical matrix-element theorems 80 4-10 selection rules and parity 82 4-11 directed valence 87 4-12 application of group theory to directed valence 89 exercises 92 references 93 5 full rotation group and angular momentum 94 5-1 rotational transformation properties and angular momentum 94 5-2 continuous groups 98 5-3 representation of rotations through eulerian angles 101 5-4 homomorphism with the unitary group 103 5-5 representations of the unitary group 106 5-6 representation of the rotation group by representations of the unitary group 109 5-7 application of the rotation-representation matrices 111 5-8 vector model for addition of angular momenta 115 5-9 the wigner or clebsch-gordan coefficients 117 5-10 notation, tabulations, and symmetry properties of the wigner coefficients 121 5-11 tensor operators 124 5-12 the wigner-eckart theorem j31 5-13 the racah coefficients 133 5-14 application of racah coefficients 137 5-15 the rotation-inversion group 139 5-16 time-reversal symmetry 141 5-17 more general invariances 147 exercises.. 151 references 153 6 quantum mechanics of atoms 154 6-1 review of elementary atomic structure and nomenclature 155 6-2 the hamiltonian 157 6-3 approximate eigenfunctions 157 6-4 calculation of matrix elements between determinantal wavefunctions 162 6-5 hartree-fock method 167 6-6 calculation of l-s-term energies 170 6-7 evaluation of matrix elements of the energy 173 6-8 eigenfunctions and angular-momentum operations 178 6-9 calculation of fine structure 181 6-10 zeeman effect 188 6-11 magnetic hyperfine structure 193 6-12 electric hyperfine structure 201 exercises 206 references 208 7 molecular quantum mechanics 210 7-1 born-oppenheimer approximation 210 7-2 simple electronic eigenfunctions 213 7-3 irreducible representations for linear molecules 216 7-4 the hydrogen molecule 219 7-5 molecular orbitals 220 7-6 heitler-london method 223 7-7 orthogonal atomic orbitals 226 7-8 group theory and molecular orbitals 227 7-9 selection rules for electronic transitions 233 7-10 vibration of diatomic molecules 234 7-11 normal modes in polyatomic molecules 238 7-12 group theory and normal modes 242 7-13 selection rules for vibrational transitions 248 7-14 molecular rotation 250 7-15 effect of nuclear statistics on molecular rotation 252 7-16 asymmetric rotor 255 7-17 vibration-rotation interaction 257 7-18 rotation-electronic coupling 260 exercises 264 references 266 8 solid-state theory 267 8-1 symmetry properties in solids 267 8-2 the reciprocal lattice and brillouin zones 270 8-3 form of energy-band wavefunctions 275 8-4 crystal symmetry and the group of the k vector 279 8-5 pictorial consideration of eigenfunctions 281 8-6 formal consideration of degeneracy and compatibility 284 8-7 group theory and the plane-wave approximation 290 8-8 connection between tight- and loose-binding approximations 293 8-9 spin-orbit coupling in band theory 295 8-10 time reversal in band theory 297 8-11 magnetic crystal groups 299 8-12 symmetries of magnetic structures 303 8-13 the landau theory of second-order phase transitions 309 8-14 irreducible representations of magnetic groups 311 exercises 313 references 315 appendix a review of vectors, vector spaces, and matrices 317 b character tables for point-symmetry groups 323 c tables of ck and ag coefficients for s, p, and d electrons 331 index... 335 |
内容加载中，请稍后...
商品评论（0条）