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

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Page 142

The

Since pz ( k ) is

m / 2 < Imk < u / 2 . Within this strip S can have poles only where pil - k ) is zero ...

The

**analytic**properties of 8 , - Pilk ) pel - k ) may be inferred from those of pelk ) .Since pz ( k ) is

**analytic**in Im k < u / 2 , S , is**analytic**on the « Bargmann strip » –m / 2 < Imk < u / 2 . Within this strip S can have poles only where pil - k ) is zero ...

Page 143

... 8 ( z ) ] ] , where arg8 , ( ) is slowly varying ( we may assume it to be zero ) and

where 2 - plane - - - - - - - - - - s ( 2 ) , 7 ( 2 )

branch cut in this domain Accordingly we have for the cross - section 12 orsin d ,

= ?

... 8 ( z ) ] ] , where arg8 , ( ) is slowly varying ( we may assume it to be zero ) and

where 2 - plane - - - - - - - - - - s ( 2 ) , 7 ( 2 )

**analytic**di = tgt - u ? l is Tenis dombranch cut in this domain Accordingly we have for the cross - section 12 orsin d ,

= ?

Page 148

Considered as a function of k ” , which yet has to be integrated over , 222 — 1

ranges from a minimum value 2u2 / k2 + 1 to a maximum value oo ; therefore at

fixed k ” , the second Born amplitude is

+ ...

Considered as a function of k ” , which yet has to be integrated over , 222 — 1

ranges from a minimum value 2u2 / k2 + 1 to a maximum value oo ; therefore at

fixed k ” , the second Born amplitude is

**analytic**in the cos 0 plane cut from 2u / k2+ ...

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### Contents

LOMER Band theory and magnetism | 1 |

JACCARINO Studies of the hyperfine interaction in transi | 39 |

P W ANDERSON and W L MCMILLAN Multiplescattering | 50 |

Copyright | |

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### Common terms and phrases

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