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

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Page 146

(D h(y'io) = Hy'<o) - On the other hand ym is the sum of a

aityw each with a mean value 0 and random sign. There is a well-known theorem

of statistics that if you add numbers of random sign like this you get a Gaussian ...

(D h(y'io) = Hy'<o) - On the other hand ym is the sum of a

**large number**of termsaityw each with a mean value 0 and random sign. There is a well-known theorem

of statistics that if you add numbers of random sign like this you get a Gaussian ...

Page 147

In order to make considerations easier we will use the following assumptions

which can be experimentally fulfilled to a good approximation: 1) fi » D, i.e., in

practice, exit channels leading to neutron emission to a rather

final ...

In order to make considerations easier we will use the following assumptions

which can be experimentally fulfilled to a good approximation: 1) fi » D, i.e., in

practice, exit channels leading to neutron emission to a rather

**large number**offinal ...

Page 148

According to hypothesis, yoi and yif are random numbers. Since f »D, a

of terms of random sign which must give a Gaussian probability distribution, ...

According to hypothesis, yoi and yif are random numbers. Since f »D, a

**large****number**of states i is included in the sum. We have thus a sum of a**large number**of terms of random sign which must give a Gaussian probability distribution, ...

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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