Semi-classical strings in (2+1)−(2+1)-dimensional backgrounds

preprint2013arXivOpen access

Abstract

This study analyzes the geometrical relationship between a classical string and its semi-classical quantum model. From an arbitrary (2+1)−(2+1)-dimensional geometry, a specific ansatz for a classical string is used to generate a semi-classical quantum model. In this framework, examples of quantum oscillations and quantum free particles are presented that uniquely determine a classical string and the space-time geometry where its motion takes place.

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