CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅲ)——THE POSSIBILITY OF IMPROVING THE NUMERICAL RESULTS WITH HYPERCOMPLEX NUMBER SYSTEMS

SHI HE; HAO BAI-LIN

doi:10.7498/aps.30.1225

Abstract
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.
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SHI HE,

HAO BAI-LIN

1.
中国科学院
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Vol. 30, Issue 9 - 1981-05-05

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CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅲ)——THE POSSIBILITY OF IMPROVING THE NUMERICAL RESULTS WITH HYPERCOMPLEX NUMBER SYSTEMS

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CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅲ)——THE POSSIBILITY OF IMPROVING THE NUMERICAL RESULTS WITH HYPERCOMPLEX NUMBER SYSTEMS

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