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

### From inside the book

Results 1-3 of 28

Page 3

It follows that the orthogonality

modified completeness

antisymmetric states, as it should. Define single-particle matrix elements (/3|/|a)

by (1.9a) ...

It follows that the orthogonality

**relation**jl7&T<T>{a)0m= d(,}.'(/3) leads to themodified completeness

**relation**2>(,}U. ... This closure**relation**couples onlyantisymmetric states, as it should. Define single-particle matrix elements (/3|/|a)

by (1.9a) ...

Page 27

This matrix is defined by the

the integral equation (for a/3 = /xv) (3.14) (yd\K\Mv) = (y«5MH + I (yd\v\ar) J^M- .

or Efip— \na + &x) If a is a singular (hard core) potential, its matrix elements (yd

j v ...

This matrix is defined by the

**relation**(3.13) v\aifty = K\<zfi) . From (3.9) one getsthe integral equation (for a/3 = /xv) (3.14) (yd\K\Mv) = (y«5MH + I (yd\v\ar) J^M- .

or Efip— \na + &x) If a is a singular (hard core) potential, its matrix elements (yd

j v ...

Page 77

We now obtain additional commutation

rotation operator to eq. ... (4.25) by D2*a(ix, /J, y), integrating over the three Euler

angles, and recalling the orthogonality

We now obtain additional commutation

**relations**for H,m — fit,1 by applying therotation operator to eq. ... (4.25) by D2*a(ix, /J, y), integrating over the three Euler

angles, and recalling the orthogonality

**relation**of the Di,k(x, fi, y) functions, we ...### 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