scholarly journals Canonical-basis solution of the Hartree-Fock-Bogoliubov equation on a three-dimensional Cartesian mesh

2004 ◽  
Vol 69 (3) ◽  
Author(s):  
Naoki Tajima
Keyword(s):  
Canonical Basis ◽  
Three Dimensional ◽  
Cartesian Mesh ◽  
Hartree Fock ◽  
Basis Solution ◽  
Bogoliubov Equation

LINEAR RESPONSE CALCULATION USING CANONICAL-BASIS TDHFB WITH A SCHEMATIC PAIRING FUNCTIONAL

2010 ◽  
Vol 25 (21n23) ◽  
pp. 2001-2002
Author(s):  
SHUICHIRO EBATA ◽  
T. NAKATSUKASA ◽  
T. INAKURA ◽  
Y. HASHIMOTO ◽  
K. YABANA
Keyword(s):  
Canonical Basis ◽  
Three Dimensional ◽  
Energy Functional ◽  
Time Dependent ◽  
Space Representation ◽  
Coordinate Space ◽  
Magnesium Isotopes ◽  
Hartree Fock ◽  
Strength Functions ◽  
Three Dimensional Coordinate

We derive the Canonical-basis Time-Dependent Hartree-Fock-Bogoliubov (CbTDHFB) equations using time-dependent variational principle with a special pairing energy functional. We obtain the isoscalar quadrupole strength functions for Magnesium isotopes with small-amplitude CbTDHFB calculation in the three-dimensional coordinate-space representation.

Groebner-basis solution of the three-dimensional resection problem (P4P)

2003 ◽  
Vol 77 (5-6) ◽  
pp. 327-337 ◽  
Author(s):  
J. L. Awange ◽  
E. W. Grafarend
Keyword(s):  
Three Dimensional ◽  
Groebner Basis ◽  
Basis Solution

scholarly journals Josephson oscillations in split one-dimensional Bose gases

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Yuri Daniel van Nieuwkerk ◽  
Jörg Schmiedmayer ◽  
Fabian Essler
Keyword(s):  
Three Dimensional ◽  
Time Dependent ◽  
Dimensional Theory ◽  
Bose Gases ◽  
Microscopic Description ◽  
One Dimensional ◽  
Hartree Fock ◽  
Equilibrium Dynamics ◽  
Self Consistent ◽  
Double Well Potential

We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to a highly elongated double well potential. We use a self-consistent time-dependent Hartree--Fock approximation in combination with a projection of the full three-dimensional theory to several coupled one-dimensional channels. This allows us to model the time-dependent splitting and phase imprinting of a gas initially confined to a single quasi one-dimensional potential well and obtain a microscopic description of the ensuing damped Josephson oscillations.

scholarly journals Cartesian Mesh Linearized Euler Equations Solver for Aeroacoustic Problems around Full Aircraft

2015 ◽  
Vol 2015 ◽  
pp. 1-18 ◽  
Author(s):  
Yuma Fukushima ◽  
Daisuke Sasaki ◽  
Kazuhiro Nakahashi
Keyword(s):  
Euler Equations ◽  
Complex Geometry ◽  
Time Integration ◽  
Three Dimensional ◽  
Acoustic Scattering ◽  
Shielding Effect ◽  
Immersed Boundary ◽  
Noise Propagation ◽  
Linearized Euler Equations ◽  
Cartesian Mesh

The linearized Euler equations (LEEs) solver for aeroacoustic problems has been developed on block-structured Cartesian mesh to address complex geometry. Taking advantage of the benefits of Cartesian mesh, we employ high-order schemes for spatial derivatives and for time integration. On the other hand, the difficulty of accommodating curved wall boundaries is addressed by the immersed boundary method. The resulting LEEs solver is robust to complex geometry and numerically efficient in a parallel environment. The accuracy and effectiveness of the present solver are validated by one-dimensional and three-dimensional test cases. Acoustic scattering around a sphere and noise propagation from the JT15D nacelle are computed. The results show good agreement with analytical, computational, and experimental results. Finally, noise propagation around fuselage-wing-nacelle configurations is computed as a practical example. The results show that the sound pressure level below the over-the-wing nacelle (OWN) configuration is much lower than that of the conventional DLR-F6 aircraft configuration due to the shielding effect of the OWN configuration.

Comparisons of two- and three-dimensional time-dependent Hartree-Fock calculations of the reactionsO16+O16andCa40+Ca40

1978 ◽  
Vol 18 (6) ◽  
pp. 2631-2640 ◽  
Author(s):  
K. T. R. Davies ◽  
H. T. Feldmeier ◽  
H. Flocard ◽  
M. S. Weiss
Keyword(s):  
Three Dimensional ◽  
Time Dependent ◽  
Hartree Fock

scholarly journals Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations

2010 ◽  
Vol 82 (3) ◽  
Author(s):  
Shuichiro Ebata ◽  
Takashi Nakatsukasa ◽  
Tsunenori Inakura ◽  
Kenichi Yoshida ◽  
Yukio Hashimoto ◽  
...  
Keyword(s):  
Linear Response ◽  
Canonical Basis ◽  
Time Dependent ◽  
Hartree Fock ◽  
Bogoliubov Theory
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