scholarly journals Many-Body Nodal Hypersurface and Domain Averages for Correlated Wave Functions

2012 ◽  
pp. 77-87 ◽  
Author(s):  
Shuming Hu ◽  
Kevin Rasch ◽  
Lubos Mitas
Keyword(s):  
Wave Functions ◽  
Many Body

scholarly journals Many-body localization transition in Rokhsar-Kivelson-type wave functions

2015 ◽  
Vol 92 (21) ◽  
Author(s):  
Xiao Chen ◽  
Xiongjie Yu ◽  
Gil Young Cho ◽  
Bryan K. Clark ◽  
Eduardo Fradkin
Keyword(s):  
Wave Functions ◽  
Many Body ◽  
Localization Transition ◽  
Type Wave

scholarly journals Hermitizing the HAL QCD potential in the derivative expansion

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Sinya Aoki ◽  
Takumi Iritani ◽  
Koichi Yazaki
Keyword(s):  
Phase Shift ◽  
Wave Functions ◽  
Leading Order ◽  
Many Body ◽  
Derivative Expansion ◽  
Local Part ◽  
Scattering Phase ◽  
Many Body Systems ◽  
Local Term ◽  
Better Than

Abstract A formalism is given to hermitize the HAL QCD potential, which needs to be non-Hermitian except for the leading-order (LO) local term in the derivative expansion as the Nambu– Bethe– Salpeter (NBS) wave functions for different energies are not orthogonal to each other. It is shown that the non-Hermitian potential can be hermitized order by order to all orders in the derivative expansion. In particular, the next-to-leading order (NLO) potential can be exactly hermitized without approximation. The formalism is then applied to a simple case of $\Xi \Xi (^{1}S_{0}) $ scattering, for which the HAL QCD calculation is available to the NLO. The NLO term gives relatively small corrections to the scattering phase shift and the LO analysis seems justified in this case. We also observe that the local part of the hermitized NLO potential works better than that of the non-Hermitian NLO potential. The Hermitian version of the HAL QCD potential is desirable for comparing it with phenomenological interactions and also for using it as a two-body interaction in many-body systems.

Extracting dominant pair correlations from many-body wave functions

2004 ◽  
Vol 121 (1) ◽  
pp. 78 ◽  
Author(s):  
Gregory J. O. Beran ◽  
Martin Head-Gordon
Keyword(s):  
Body Wave ◽  
Wave Functions ◽  
Many Body ◽  
Pair Correlations

Theory of many-body wave functions with correlations

1971 ◽  
Vol 176 (1) ◽  
pp. 205-218 ◽  
Author(s):  
H. Kümmel
Keyword(s):  
Body Wave ◽  
Wave Functions ◽  
Many Body
Sign in / Sign up

Export Citation Format

Share Document