Open AccessCLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅲ)——THE POSSIBILITY OF IMPROVING THE NUMERICAL RESULTS WITH HYPERCOMPLEX NUMBER SYSTEMS
Author(s) -
Shi He,
Bailin Hao
Publication year - 1981
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.30.1225
Subject(s) - hypercomplex number , partition function (quantum field theory) , ising model , interpolation (computer graphics) , partition (number theory) , mathematics , expression (computer science) , statistical physics , computer science , physics , combinatorics , quantum mechanics , quaternion , geometry , programming language , animation , computer graphics (images)
Possible properties of the analytic expression for the partition function are analyzed on the basis of 2-dimensional rigorous solution and the 3-dimensional Q-approximation for the Ising model. The possibility to improve the numerical results by using high order hypercomplex numbers is disciissed to get ready for deriving an interpolation formula for the partition function between low and high temperature limits.