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Title: A diagrammatic approach to the categorical coherent state

In this paper, we study the categorification of the coherent states, which is equivalent to the categorification of corresponding displacement operators. Based on the categorification of Heisenberg algebras, we construct some complexes in a homotopy category which can be considered as the categorical analogues of the displacement operators. Using the diagrammatic calculus, we find that the properties of the categorical displacement operators coincide with those in normal quantum mechanics.
Authors:
;  [1]
  1. Department of Mathematics, South China University of Technology, Guangzhou 510641 (China)
Publication Date:
OSTI Identifier:
22217849
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; ANNIHILATION OPERATORS; EIGENSTATES; QUANTUM MECHANICS