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

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Page 29

We therefore introduce now

develop an eigenvalue equation for the possible frequencies of periodic motion.

41. The eigenvalue equation for collective frequencies. - It was shown in Section

2 ...

We therefore introduce now

**time**-**dependent**parameters ca„(t), and proceed todevelop an eigenvalue equation for the possible frequencies of periodic motion.

41. The eigenvalue equation for collective frequencies. - It was shown in Section

2 ...

Page 32

This is an approach to collective motion which works explicitly with a

set of one-particle states <pa(t) . Such a basis is denned by the equations (4.11) ...

This is an approach to collective motion which works explicitly with a

**time**-**dependent**self-consistent potential U(t), and correspondingly with a**time**-**varying**set of one-particle states <pa(t) . Such a basis is denned by the equations (4.11) ...

Page 99

Whereas I shall first introduce schematic models to give physical insight, I do not

plan to stint on the formalism, because I firmly believe that the great formal power

in

Whereas I shall first introduce schematic models to give physical insight, I do not

plan to stint on the formalism, because I firmly believe that the great formal power

in

**time**-**dependent**perturbation theory and in Green's function techniques has ...### 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