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

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Page 9

Thus using the defining properties of the matrices a and «+, the matrix elements

of F are equal to the matrix elements of (1.28) Z03|/|«)«X> c.0 and we can

therefore let this expression stand for the

operator ...

Thus using the defining properties of the matrices a and «+, the matrix elements

of F are equal to the matrix elements of (1.28) Z03|/|«)«X> c.0 and we can

therefore let this expression stand for the

**operator F**. (1.26) is often called « theoperator ...

Page 17

We terminate this section by considering matrix elements of one- particle

2(«I/I/0«S. one has trivially (0o,^0o)=i(A|/|A); (0l,F0o)= (o\

We terminate this section by considering matrix elements of one- particle

**operators**and their time derivative, with ... For any one particle**operator**(2.13) J,=2(«I/I/0«S. one has trivially (0o,^0o)=i(A|/|A); (0l,F0o)= (o\

**f**\/i); (<2>£, F0„) = 0; etc.Page 19

To this effect consider again the operator (2-18) «P[Z2»*«I«J. introduced in eq. (

2.66) to express a variation of 0„. It is easily seen that any hermitiam one-particle

To this effect consider again the operator (2-18) «P[Z2»*«I«J. introduced in eq. (

2.66) to express a variation of 0„. It is easily seen that any hermitiam one-particle

**operator F**(2.14) defines a particular set of variational parameters co„ by means ...### 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