Editing Trotter formula
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The '''Trotter formula''' is given by ( | The '''Trotter formula''' is given by (Ref.1 Eq. 5): | ||
:<math>e^{-\beta (H_0 + V)} = \lim_{n \rightarrow \infty} (e^{-\beta H_0 /n} e^{-\beta V/n})^n</math> | :<math>e^{-\beta (H_0 + V)} = \lim_{n \rightarrow \infty} (e^{-\beta H_0 /n} e^{-\beta V/n})^n</math> | ||
where <math>H_0</math> and <math>V</math> are self-adjoint operators | where <math>H_0</math> and <math>V</math> are self-adjoint operators. | ||
==References== | ==References== | ||
#H. F. Trotter "On the Product of Semi-Groups of Operators", Proceedings of the American Mathematical Society '''10''' 545-551 (1959) | |||
''' | #[http://dx.doi.org/10.1143/PTP.56.1454 Masuo Suzuki "Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems - Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations", Progress of Theoretical Physics '''56''' pp. 1454-1469 (1976)] | ||
#[http://dx.doi.org/10.1103/PhysRevA.28.3575 Hans De Raedt and Bart De Raedt "Applications of the generalized Trotter formula", Physical Review A '''28''' 3575-3580 (1983)] | |||
#[http://dx.doi.org/10.1088/0305-4470/19/9/026 R. Thieberger "On the convergence of the Trotter formula", Journal of Physics A: Mathematical and General '''19''' 1551-1554 (1986)] | |||
#[http://arxiv.org/abs/physics/0202003Oscar Oscar Bolina " Trotter formula and thermodynamic limits", arXiv:physics/0202003v1 (3 Feb 2002)] | |||
[[Category: Mathematics]] | [[Category: Mathematics]] | ||