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

### From inside the book

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Page 20

One might perhaps think that as a rule, the Hartree-Fock state &„, being a product

of « independent particle states », &„ should also be

constants of motion such as P and /. This is a profoundly wrong assumption, and

...

One might perhaps think that as a rule, the Hartree-Fock state &„, being a product

of « independent particle states », &„ should also be

**eigenstate**of one- particleconstants of motion such as P and /. This is a profoundly wrong assumption, and

...

Page 23

(In solving this equation, we must assume of course that 0„ is not an

(wj); e.g. if 0, is an

axis.) One has then / r\ ~ V (^Uk)(g|"-/l/*) + c-c- — Z CT _ El " > E —E and, by (2.31

), ...

(In solving this equation, we must assume of course that 0„ is not an

**eigenstate**of(wj); e.g. if 0, is an

**eigenstate**of J, take to in a direction perpendicular to the z-axis.) One has then / r\ ~ V (^Uk)(g|"-/l/*) + c-c- — Z CT _ El " > E —E and, by (2.31

), ...

Page 118

This matrix element is, therefore, the amplitude— with whichjbhe N particles in

their ground state and the aingle-pag&ele-iB — state k are to be found in the (A7

+l)-particle

This matrix element is, therefore, the amplitude— with whichjbhe N particles in

their ground state and the aingle-pag&ele-iB — state k are to be found in the (A7

+l)-particle

**eigenstate**p. The quantity TFl;alTed the « strength function ». In fact ...### What people are saying - Write a review

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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 | |

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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