## Proceedings of the International School of Physics "Enrico Fermi.", Volume 23N. Zanichelli, 1963 - Nuclear physics |

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Page 13

We now proceed to describe a method of carrying out a variation of the one-

particle functions («

ipa correspond operators ba according to (2.4) . cp(.r) = J^a, = 2>A • a So if the ...

We now proceed to describe a method of carrying out a variation of the one-

particle functions («

**orbitals**») <p,: <pa -> V* = <pa + $<p* • To the varied**orbital**ipa correspond operators ba according to (2.4) . cp(.r) = J^a, = 2>A • a So if the ...

Page 26

(3.9)). These functions, y(l 2), have the asymptotic form by means of which they

can be uniquely associated to a pair of H-F

not exactly orthogonal, except in the continuum; but an orthogonalized set Tpafj

is ...

(3.9)). These functions, y(l 2), have the asymptotic form by means of which they

can be uniquely associated to a pair of H-F

**orbitals**<pa and (pp. The y>ap arenot exactly orthogonal, except in the continuum; but an orthogonalized set Tpafj

is ...

Page 28

To round off the picture, the

one-particle potential (p\U\v) = 2(pX\w\vX) = '£(tiX\Kit\vX). X-1 X From this one

derives a ground-state energy (3.20) ^o=S^(A|^|A) + -2(^|^|A/.), x *m 1 x„ It is clear

...

To round off the picture, the

**orbitals**9?^ are defined through the self-consistentone-particle potential (p\U\v) = 2(pX\w\vX) = '£(tiX\Kit\vX). X-1 X From this one

derives a ground-state energy (3.20) ^o=S^(A|^|A) + -2(^|^|A/.), x *m 1 x„ It is clear

...

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### Contents

Lectures | 1 |

G E Brown Collective motion and the application of manybody | 99 |

T Ep icson The compound nucleus and the random phase approximation | 142 |

Copyright | |

1 other sections not shown

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### Common terms and phrases

amplitude approximation assume calculated closed shells coefficients commutation compound configuration consider corresponding coupling cross-section define deformed describe determined diagonal dipole dipole strength discuss eigenfunctions eigenstate eigenvalues electron equation excitation energy expectation value experimental factor force gives Green's function ground Hamiltonian harmonic oscillator Hartree-Fock hermitian adjoint hole hyperfine-structure intrinsic irreducible representation isobaric spin isospin isotope shift large number lecture levels linear magnetic matrix elements Ml transitions Mottelson multipole neutron nuclear charge distribution nucleon nucleus number of particles obtained one-particle operator operator F optical potential orbitals orthogonal pair parameters particle-hole interaction perturbation theory Phys physical problem proton quadrupole qualitative quantum number quasi-particle random relation residual interaction resonant rotation rotation group scattering self-consistent shell-model shown single-particle solution spectrum spherical symmetry time-dependent tion total angular momentum two-body two-particle unperturbed variation vector vibrations wave function wave-functions width y-ray zero