Generalization of the Lie-Trotter Product Formula for q-Exponential Operators
نویسنده
چکیده
This formula has been central in the development of path integral approaches to quantum theory, stochastic theory, and in quantum statistical mechanics [1, 2]. In particular, Suzuki has employed this to develop quantum statistical Monte Carlo methods [3, 4], general theory of path integrals with application to many-body theories and statistical physics [5], and more recently to mathematical physics [6]. In the past decade, the use of monomial form of the exponential function [7] defined by (hereafter called q-exponential)
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