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arxiv: physics/0202003 · v1 · submitted 2002-02-03 · ⚛️ physics.ed-ph · physics.gen-ph

Trotter formula and thermodynamic limits

classification ⚛️ physics.ed-ph physics.gen-ph
keywords inftytrotterformulalimitthermodynamicbetacalculatediscuss
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We discuss the interchangeability of the thermodynamic limit \beta \to \infty and the infinite limit of the Trotter number n \to \infty when Trotter formula e^{H_{0}+V} =\lim_{n \to \infty} (e^{H_{0}/n} e^{V/n}) is used to calculate partition functions with Hamiltonians of the form H=H_{0}+V.

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