Spontaneous fission barriers, quadrupole inertia, and zero-point quadrupole-energy corrections are calculated for 252,256,258 Fm in the framework of the self-consistent Skyrme-Hartree-Fock+BCS theory. Two ways of computing dynamical inertia are employed: the Gaussian Overlap Approximation to the Generator Coordinate Method and crank-ing ansatz. The Skyrme results are compared with those of the ...

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxiii 1 The Beginning of Molecular Electronics . . . . . . . . . . . . . . . . . . . . . 1 2 Modern Density Functional Theory . . . . . . . . . . . . . . . . . . . . . . . 7 2.1 Quantum Many-body Theory . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 The Born-Oppenheimer Approximation . . . . . . . . . . . ....

Any exact eigenstate with a definite momentum of a many-body Hamiltonian can be written as an integral over a symmetry-broken function Φ. For two particles, we solve the problem exactly for all energy levels and any interparticle interaction. Especially for the ground-state, Φ is given by the simple Hartree-Fock/Hartree ansatz for fermions/bosons. Implications for several and many particles as ...

Spontaneous fission barriers, quadrupole inertia tensor, and zero-point quadrupole correlation energy are calculated for 252,256,258 Fm in the framework of the self-consistent Skyrme-Hartree-Fock+BCS theory. Two ways of computing collective inertia are employed: the Gaussian Overlap Approximation to the Generator Coordinate Method and cranking ansatz. The Skyrme results are compared with those ...

.......................................................................................................... 5 Chapter 1 – Introduction ............................................................................. 8 1.1 Carbon Nanomaterials ............................................................................................9 1.2 Applications of Carbon Nanotubes ..............................

Abstract: Based on Hartree-Fock theory with correlations, approximate solutions of the manybody Schrödinger equation are examined for their use for calculations of nuclear reaction rates for charged Bose nuclei confined in a harmonic trap. It is shown that the nuclear reaction rate calculated with the Hartree-Fock mean field solution makes a significant contribution even in the presence of two-...

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