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

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Results 1-3 of 15

Page 73

In the following we will be particularly interested in the Nilsson eigenvalues and

important in comparison to the coupling of the particle motion with the well

deformation.

In the following we will be particularly interested in the Nilsson eigenvalues and

**eigenfunctions**for the case of large tj. There the spin-orbit force is not tooimportant in comparison to the coupling of the particle motion with the well

deformation.

Page 75

The

commutes with h and therefore Ki is a good quantum number. For the special

case of the sd shell the

vTj0+d0] ...

The

**eigenfunctions**of hi can be denoted as <P£ .i where (4.8) (4.9) as l\commutes with h and therefore Ki is a good quantum number. For the special

case of the sd shell the

**eigenfunctions**of q1n have the following form: 4r 4-2 l/v2"[vTj0+d0] ...

Page 133

/X \ We note by direct substitution into (43), that if I * is an

energy E„, then is an

one correspondence between positive- and negative-energy eigenvalues.

/X \ We note by direct substitution into (43), that if I * is an

**eigenfunction**with /X*\ ^energy E„, then is an

**eigenfunction**with energy — E*, so that there is a one-to-one correspondence between positive- and negative-energy eigenvalues.

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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