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

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Page 78

We will now discuss(*) the 8 operates L/, and Q/, which are the generators of the

group 8U2 of unitary transformations of ... The concept of irreducibile

representations of a group will be made clear for the special case of this

We will now discuss(*) the 8 operates L/, and Q/, which are the generators of the

group 8U2 of unitary transformations of ... The concept of irreducibile

representations of a group will be made clear for the special case of this

**rotation****group**.Page 79

If the unitary transformations are such that the boxes are as small as possible,

independent of a, b, and c, then the functions belonging to a box are said to

belong to an irreducible representation of the

If the unitary transformations are such that the boxes are as small as possible,

independent of a, b, and c, then the functions belonging to a box are said to

belong to an irreducible representation of the

**group**. In our example of the**rotation**...Page 80

or also L is characteristic for an irreducible representation of the

Within an irreducible representation the eigenvalue of L may be used as a label

for the functions. The functions of an irreducible representation may be ...

or also L is characteristic for an irreducible representation of the

**rotation group**.Within an irreducible representation the eigenvalue of L may be used as a label

for the functions. The functions of an irreducible representation may be ...

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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