## Proceedings of the International School of Physics "Enrico Fermi.", Volume 37N. Zanichelli, 1967 - Nuclear physics |

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Page 58

Jy is in fact the function defined earlier which obeys the boundary

0 and is therefore expressible outside the muffin tin as : ( 2 . 11 ) Julęr ) = cos 8 ,

( xr ) — sin dinzlęr ) pe > Rm , fi is defined by two requirements : first , that its ...

Jy is in fact the function defined earlier which obeys the boundary

**condition**at p =0 and is therefore expressible outside the muffin tin as : ( 2 . 11 ) Julęr ) = cos 8 ,

( xr ) — sin dinzlęr ) pe > Rm , fi is defined by two requirements : first , that its ...

Page 138

10 Since this boundary

does not apply , and so o ( k , r ) can have singularities in the k - plane . In fact ,

this boundary

10 Since this boundary

**condition**is not k - independent , Poincaré ' s theoremdoes not apply , and so o ( k , r ) can have singularities in the k - plane . In fact ,

this boundary

**condition**suggests that q , is nonanalytic in the half plane Imk > 0 .Page 212

The self - consistenoy

Uno – Umo ) + filer ; €0 + Uno + Umo ) } . The critical boundary for the

appearance of the localized moment is obtained by differentiating the latter

equation of ( 2 .

The self - consistenoy

**condition**now is rewritten as no ( 2 . 15 ) = 1 { f } ( EF ; £o +Uno – Umo ) + filer ; €0 + Uno + Umo ) } . The critical boundary for the

appearance of the localized moment is obtained by differentiating the latter

equation of ( 2 .

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### Contents

LOMER Band theory and magnetism | 1 |

PHILLIPS Band theory of transition metals | 22 |

JACCARINO Studies of the hyperfine interaction in transi | 39 |

Copyright | |

19 other sections not shown

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### Common terms and phrases

alloys appearance approximation assume average band becomes bound boundary calculation charge complex computed condition conduction consider contribution correct correlation corresponding coupling curve defined density depends determined direction discussed effect electrons energy equation exchange existence expected expression fact factor Fermi Fermi level Fermi surface ferromagnetic field function given gives Hamiltonian host metal impurity atom increases integral interaction interesting lattice limit localized magnetic matrix elements means method moments normal Note observed obtained occur operator orbital perturbation phase Phys physical plane polarization poles positive possible potential present problem properties range relation replaced represent resonance scattering screening Sect shift shown similar simple single solution spin strong structure temperature theory tion transition metals usual wave wave functions write zero