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
2010 ◽  
Vol 25 (21n23) ◽  
pp. 2001-2002
Author(s):  
SHUICHIRO EBATA ◽  
T. NAKATSUKASA ◽  
T. INAKURA ◽  
Y. HASHIMOTO ◽  
K. YABANA

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.


2003 ◽  
Vol 77 (5-6) ◽  
pp. 327-337 ◽  
Author(s):  
J. L. Awange ◽  
E. W. Grafarend

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Yuri Daniel van Nieuwkerk ◽  
Jörg Schmiedmayer ◽  
Fabian Essler

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.


2015 ◽  
Vol 2015 ◽  
pp. 1-18 ◽  
Author(s):  
Yuma Fukushima ◽  
Daisuke Sasaki ◽  
Kazuhiro Nakahashi

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.


1978 ◽  
Vol 18 (6) ◽  
pp. 2631-2640 ◽  
Author(s):  
K. T. R. Davies ◽  
H. T. Feldmeier ◽  
H. Flocard ◽  
M. S. Weiss

2010 ◽  
Vol 82 (3) ◽  
Author(s):  
Shuichiro Ebata ◽  
Takashi Nakatsukasa ◽  
Tsunenori Inakura ◽  
Kenichi Yoshida ◽  
Yukio Hashimoto ◽  
...  

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