A Solution of an Extended Hartree-Bogoliubov Equation on the Coset Space SO(2N+2)/U(N+1) for Unified Description of Bose and Fermi Type Collective Excitations

1997 ◽  
pp. 281-296
Author(s):  
Seiya Nishiyama
Keyword(s):  
Collective Excitations ◽  
Coset Space ◽  
Unified Description ◽  
Fermi Type ◽  
Bogoliubov Equation

scholarly journals Modified non-Euclidean transformation on the SO(2N+2) U(N+1) Grassmannian and SO(2N + 1) random phase approximation for unified description of Bose and Fermi type collective excitations

2016 ◽  
Vol 13 (04) ◽  
pp. 1650043
Author(s):  
Seiya Nishiyama ◽  
João da Providência
Keyword(s):  
Excited States ◽  
Random Phase Approximation ◽  
Lagrange Equation ◽  
Integrability Condition ◽  
Random Phase ◽  
Phase Approximation ◽  
Zero Curvature ◽  
Geometrical Concept ◽  
Unified Description ◽  
Fermi Type

In a slight different way from the previous one, we propose a modified non-Euclidean transformation on the [Formula: see text] Grassmannian which gives the projected [Formula: see text] Tamm–Dancoff equation. We derive a classical time-dependent (TD) [Formula: see text] Lagrangian which, through the Euler–Lagrange equation of motion for [Formula: see text] coset variables, brings another form of the previous extended-TD Hartree–Bogoliubov (HB) equation. The [Formula: see text] random phase approximation (RPA) is derived using Dyson representation for paired and unpaired operators. In the [Formula: see text] HB case, one boson and two boson excited states are realized. We, however, stress non-existence of a higher RPA vacuum. An integrable system is given by a geometrical concept of zero-curvature, i.e. integrability condition of connection on the corresponding Lie group. From the group theoretical viewpoint, we show the existence of a symplectic two-form [Formula: see text].

Universal fermi-type interaction

Physica ◽  
1952 ◽  
Vol 18 (2) ◽  
pp. 1020-1022 ◽  
Author(s):  
E CAIANIELLO
Keyword(s):  
Type Interaction ◽  
Fermi Type

Mass transfer into the liquid in turbulent flow at high Schmidt numbers. Dissolution of benzoic acid into aqueous solutions of glycerol from internal surface of the pipe

1981 ◽  
Vol 46 (7) ◽  
pp. 1566-1576
Author(s):  
František Vašák ◽  
Václav Kolář ◽  
Zdeněk Brož
Keyword(s):  
Mass Transfer ◽  
Benzoic Acid ◽  
Aqueous Solutions ◽  
Cross Section ◽  
Circular Cross Section ◽  
Internal Surface ◽  
Theoretical Relation ◽  
Acid Dissolution ◽  
Schmidt Numbers ◽  
Unified Description

Theoretical relation derived in the last study for calculation of the mass transfer coefficient in the region of not fully developed concentration profile at high Schmidt numbers has been verified experimentally. This experimental study has been devoted to measurements of the rate of benzoic acid dissolution into aqueous solutions of glycerol from the internal surface of the pipe of circular cross section in the range 933 ⪬ Sc ⪬ 225 000 and 5 000 ⪬ Re ⪬ 50 000. It has been possible to explain on basis of the theoretical model, the differences between the data of various authors and to obtain a unified description of the phenomena.

scholarly journals Microscopic description of octupole collective excitations near N=56 and N=88

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
K. Nomura ◽  
L. Lotina ◽  
T. Nikšić ◽  
D. Vretenar
Keyword(s):  
Collective Excitations ◽  
Microscopic Description
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