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

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Page 143

is a mapping of the whole z -

axis , onto the half -

second sheet ( called the « unphysical sheet » ) of the Riemann surface of Vz .

On ...

is a mapping of the whole z -

**plane**, conveniently cut from 0 to o along the realaxis , onto the half -

**plane**Im k > 0 . The half -**plane**Im k < 0 is then a map of thesecond sheet ( called the « unphysical sheet » ) of the Riemann surface of Vz .

On ...

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 analytic in the cos 0

+ ...

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+ ...

Page 182

Using g ( x ) = V % + as an independent variable ( i . e . , transforming to the k -

map onto the upper and lower halves of the e -

Using g ( x ) = V % + as an independent variable ( i . e . , transforming to the k -

**plane**) , so that the physical and unphysical sheets of the z -**plane**, respectively ,map onto the upper and lower halves of the e -

**plane**, we write - Vee ( 99a ) ( g ...### What people are saying - Write a review

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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 | |

25 other sections not shown

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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