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Title: Variational approach to N -body interactions in finite volume

Abstract

Here, we explore variational approach to the finite-volume N -body problem. The general formalism for N non-relativistic spinless particles interacting with periodic pair-wise potentials yields N -body secular equations. The solutions depend on the infinite-volume N -body wave functions. Given that the infinite-volume N -body dynamics may be solved by the standard Faddeev approach, the variational N -body formalism can provide a convenient numerical framework for finding discrete energy spectra in periodic lattice structures.

Authors:
 [1];  [2];  [3]
  1. California State Univ., Bakersfield, CA (United States); Univ. of California, Santa Barbara, CA (United States)
  2. The George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1481326
Alternate Identifier(s):
OSTI ID: 1481736
Report Number(s):
JLAB-THY-18-2837; DOE/OR/23177-4556; arXiv:1810.01261
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
PHY-1748958; PHY-1415459; PHY-1452055; AC05-06OR23177; FG02-87ER40365
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Guo, Peng, Döring, Michael, and Szczepaniak, Adam P. Variational approach to N-body interactions in finite volume. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.094502.
Guo, Peng, Döring, Michael, & Szczepaniak, Adam P. Variational approach to N-body interactions in finite volume. United States. doi:10.1103/PhysRevD.98.094502.
Guo, Peng, Döring, Michael, and Szczepaniak, Adam P. Thu . "Variational approach to N-body interactions in finite volume". United States. doi:10.1103/PhysRevD.98.094502.
@article{osti_1481326,
title = {Variational approach to N-body interactions in finite volume},
author = {Guo, Peng and Döring, Michael and Szczepaniak, Adam P.},
abstractNote = {Here, we explore variational approach to the finite-volume N-body problem. The general formalism for N non-relativistic spinless particles interacting with periodic pair-wise potentials yields N-body secular equations. The solutions depend on the infinite-volume N-body wave functions. Given that the infinite-volume N-body dynamics may be solved by the standard Faddeev approach, the variational N-body formalism can provide a convenient numerical framework for finding discrete energy spectra in periodic lattice structures.},
doi = {10.1103/PhysRevD.98.094502},
journal = {Physical Review D},
number = 9,
volume = 98,
place = {United States},
year = {Thu Nov 08 00:00:00 EST 2018},
month = {Thu Nov 08 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.98.094502

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