Fractal path integrals with applications to quantum many-body systems

Masuo Suzuki

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 501-515

Abstract: A general formulation of the fractal decomposition of exponential operators is reviewed briefly and its mathematical structure is discussed together with some applications to quantum many-body systems. More explicitly, the operator ex(A+B) is decomposed into a product of the form ex(A+B)=fm(x)+O(xm+1) with fm(x)=et1xAef2xBef3xAet4xB … etMxB. The parameters {tj} show a fractal structure as shown in the text.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:501-515

DOI: 10.1016/0378-4371(92)90574-A

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