skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Independent bases on the spatial wavefunction of four-identical-particle systems

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4835595· OSTI ID:22217735
; ;  [1]
  1. School of Physical Science and Technology, Southwest University, Chongqing 400715 (China)

We construct the independent bases on the spatial wavefunction of four-identical-particle systems classified under the rotational group SO(3) and the permutation group S{sub 4} with the usage of transformation coefficients that relate wavefunctions described in one set of internal coordinates with those in another. The basis functions for N⩽ 2 are presented in the explicit expressions based on the harmonic oscillator model. Such independent bases are supposed to play a key role in the construction of the wavefunctions of the five-quark states and the variation calculation of four-body systems. Our prescription avoids the spurious states and can be programmed for arbitrary N.

OSTI ID:
22217735
Journal Information:
Journal of Mathematical Physics, Vol. 54, Issue 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

Similar Records

New Results in Light-Front Phenomenology
Technical Report · Mon Oct 25 00:00:00 EDT 2004 · OSTI ID:22217735

Quantum-teleportation benchmarks for independent and identically distributed spin states and displaced thermal states
Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. A · OSTI ID:22217735

The inflationary wavefunction from analyticity and factorization
Journal Article · Tue Dec 07 00:00:00 EST 2021 · Journal of Cosmology and Astroparticle Physics · OSTI ID:22217735