The dynamics of a nearly-AdS_2 spacetime with boundaries is reduced to that of two particles in the anti-de Sitter space. We determine the class of physically meaningful wavefunctions, and prescribe the statistical mechanics of a black hole. We demonstrate how wavefunctions for a two-sided black hole and a regularized notion of trace can be used to construct thermal partition functions, and more generally, arbitrary density matrices. We also obtain correlation functions of external operators.

This study explains the statistical mechanics of a two-dimensional black hole, enabling the construction of thermal partition functions and arbitrary density matrices.

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Statistical mechanics of a two-dimensional black hole

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