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

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Page 21

If we add as a subsidiary condition that the

given, nonzero value, we therefore ... nonzero value of a component Jk of J is

expected to increase the energy by (2.25) SE = , Jk being a moment of inertia.

If we add as a subsidiary condition that the

**expectation value**of P (or J) have agiven, nonzero value, we therefore ... nonzero value of a component Jk of J is

expected to increase the energy by (2.25) SE = , Jk being a moment of inertia.

Page 22

Consider the general problem of minimizing <£T> with the subsidiary condition

that the

to consider the variational parameters c as matrix elements of a one-particle ...

Consider the general problem of minimizing <£T> with the subsidiary condition

that the

**expectation value**of an operator fS be prescribed. It is of advantage hereto consider the variational parameters c as matrix elements of a one-particle ...

Page 138

... m> , (56.2) To find the energy we take now the

Hio, because — mJ , is simply a term added to guarantee a nonzero

way ...

... m> , (56.2) To find the energy we take now the

**expectation value**of H — notHio, because — mJ , is simply a term added to guarantee a nonzero

**expectation****value**of Jx — in our perturbed wave function. We find, proceeding in the sameway ...

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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