Current single-particle operator

The T =0 time-dependent mean-field theory currently provides the best description of nuclear dynamics at low energies [5,6]. We consider two single-particle operators, Q, P interpreted as a collective coordinate and a collective momentum. Their nature depends on the kind of motion that we want to focus upon. We require that Q Q and P-r — P under time reversal and that IP, Q] 0. We then form a constrained Hartree-Fock (CHF) calculation on the many-body Hamiltonian H by minimizing the functional... 

As far as the relevant single-particle operator o(r) is concerned, it must describe the response of the physical system to the external potential, which is of course the induced current. The single-particle current operator is... 

An operator with the property exhibited in eqn (5.5) is said to be Hermitian if it satisfies this equation for all functions P defined in the function space in which the operator is defined. The mathematical requirement for Hermiticity of H expressed in eqn (5.5) places a corresponding physical requirement on the system—that there be a zero flux in the vector current through the surface S bounding the system To illustrate this and other properties of the total system we shall assume, without loss of generality, a form for H corresponding to a single particle moving under the influence of a scalar potential F(r)... 

In the current work, we consider primarily two theoretical models the linearized canonical transformation with doubles (L-CTD) and linearized canonical transformation with singles and doubles (L-CTSD) theories. These are defined by the choice of operators in A. The L-CTD theory contains only two-particle... 

Fluidized-bed electrode — A - three-dimensional electrode consisting of a bed of individual electronically conducting particles fluidized by an appropriate upward flow of electrolyte. The solid particles/solution system behaves like a single fluid. A perforated distributor through which the electrolyte is admitted to operate the fluidization supports the bed. Current enters (or leaves) the bed via metallic feeders (or collectors) in contact with the particulate suspension. 

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